Homework #2: Cryptoanalysis on Monoalphabetic Ciphertext Goal: • Understand basic cipher and apply natural language statistics to decipher text encrypted using monoalphabetic cipher. Assignment Date: 9/20/2015 Description: Understand monoalphabetic substitution, basic cryptoanalysis, and apply natural language statistics to decrypt a ciphertext. Document the process you use to analyze the ciphertext. Justify your answer step by step, describing the mapping you observe and how you verify the results, until the name of the article and the author is revealed. Submit your answer as a word document through blackboard system. Here is the ciphertext: VAGXWTAXUSJEWULUJKUSXWSBA AGXVSPYUXWZXAGBYPVAXPY AJPYNWTAJPNJUJPSJUMJSPNAJ TAJTUNLUENJCNZUXPKSJE EUENTSPUEPAPYUHXAHAWNPNAJPYSP SCCIUJSXUTXUSPUEUOGSC JAMMUSXUUJBSBUENJSBXUSPTNLNCMSX PUWPNJBMYUPYUXPYSPJSPNAJAXSJKJSPNAJ WATAJTUNLUESJEWAEUENTSPUETSJCAJBUJEGXU MUSXUIUPAJSBXUSPZSPPCU-VNUCEAVPYSPMSX MUYSLUTAIUPAEUENTSPUSHAXPNAJAVPYSPVNUCE SWSVNJSCXUWPNJBHCSTUVAXPYAWU MYAYUXUBSLUPYUNXCNLUW PYSPPYSPJSPNAJINBYPCNLU IPNWSCPABUPYUXVNPPNJBSJEHXAHUX PYSPMUWYAGCEEAPYNW ZGPNJSCSXBUXWUJWUMUTSJJAPEUENTSPU MUTSJJAPTAJWUTXSPU MUTSJJAPYSCCAMPYNWBXAGJE PYUZXSLUIUJCNLNJBSJEEUSE MYAWPXGBBCUEYUXUYSLUTAJWUTXSPUENP VSXSZALUAGXHAAXHAMUXPASEEAXEUPXSTP PYUMAXCEMNCCCNPPCUJAPU JAXCAJBXUIUIZUXMYSPMUWSKYUXU ZGPNPTSJJULUXVAXBUPMYSPPYUKENEYUXU IPNWVAXGWPYUCNLNJBXSPYUX PAZUEUENTSPUEYUXUPAPYUGJVNJNWYUEMAXR MYNTYPYUKMYAVAGBYPYUXUYSLUPYGWVSXWAJAZCKSELSJTUE IPNWXSPYUXVAXGWPAZUYUXU EUENTSPUEPAPYUBXUSPPSWRXUISNJNJBZUVAXUGW PYSPVXAIPYUWUYAJAXUEEUSE MUPSRUNJTXUSWUEEULAPNAJPAPYSPTSGWU VAXMYNTYPYUKBSLUPYUCSWPVGCCIUSWGXUAVEULAPNAJ PYSPMUYUXUYNBYCKXUWACLUPYSP PYUWUEUSEWYSCCJAPYSLUENUENJLSNJ PYSPPYNWJSPNAJGJEUXGAEWYSCCYSLUSJUMZNXPYAVVXUUEAI SJEPYSPBALUXJIUJP AVPYUHUAHCU ZKPYUHUAHCU VAXPYUHUAHCU WYSCCJAPHUXNWYVXAIPYUUSXPY Hint: • This is an article with three paragraphs. Line boundary helps locating starting and ending words. • Apply Ankur Patwa’s character frequency tool to obtain the frequencies of uni-gram, di-gram, tri-gram, quad-gram in the ciphertext. Then try to generate a monalphabeic mapping using natural language statistics in viewgraph 10 of basic crypto. Normally we start by guessing the high frequency tri-grams and quad-gram. You can verify the correctness of the mapping by cross referencing among the quad-gram, tri-gram, di-gram, uni-gram, and also the starting words and ending words of a line. • On viva, use “monosub.pl <ciphter.txt> <mapfile.txt> <workfile.txt>” to geneate the current mapping. monosub.pl is available at /home/cs591/public_html/crypto/src. You can copy the monosub.pl to your directory or use /home/cs591/public_html/crypto/src/monosub.pl • Try to guess and validate as many mappings as possible, say top 4, before you proceed with monosubstituion. • Once you get the working file, try to separate word boundaries to bring out additional mappings. About 4 rounds of mapping you should be able to decipher it. • Document the key mappings, your observations (how you derive the next mappings), and intermediate cipher results.

Homework #2: Cryptoanalysis on Monoalphabetic Ciphertext Goal: • Understand basic cipher and apply natural language statistics to decipher text encrypted using monoalphabetic cipher. Assignment Date: 9/20/2015 Description: Understand monoalphabetic substitution, basic cryptoanalysis, and apply natural language statistics to decrypt a ciphertext. Document the process you use to analyze the ciphertext. Justify your answer step by step, describing the mapping you observe and how you verify the results, until the name of the article and the author is revealed. Submit your answer as a word document through blackboard system. Here is the ciphertext: VAGXWTAXUSJEWULUJKUSXWSBA AGXVSPYUXWZXAGBYPVAXPY AJPYNWTAJPNJUJPSJUMJSPNAJ TAJTUNLUENJCNZUXPKSJE EUENTSPUEPAPYUHXAHAWNPNAJPYSP SCCIUJSXUTXUSPUEUOGSC JAMMUSXUUJBSBUENJSBXUSPTNLNCMSX PUWPNJBMYUPYUXPYSPJSPNAJAXSJKJSPNAJ WATAJTUNLUESJEWAEUENTSPUETSJCAJBUJEGXU MUSXUIUPAJSBXUSPZSPPCU-VNUCEAVPYSPMSX MUYSLUTAIUPAEUENTSPUSHAXPNAJAVPYSPVNUCE SWSVNJSCXUWPNJBHCSTUVAXPYAWU MYAYUXUBSLUPYUNXCNLUW PYSPPYSPJSPNAJINBYPCNLU IPNWSCPABUPYUXVNPPNJBSJEHXAHUX PYSPMUWYAGCEEAPYNW ZGPNJSCSXBUXWUJWUMUTSJJAPEUENTSPU MUTSJJAPTAJWUTXSPU MUTSJJAPYSCCAMPYNWBXAGJE PYUZXSLUIUJCNLNJBSJEEUSE MYAWPXGBBCUEYUXUYSLUTAJWUTXSPUENP VSXSZALUAGXHAAXHAMUXPASEEAXEUPXSTP PYUMAXCEMNCCCNPPCUJAPU JAXCAJBXUIUIZUXMYSPMUWSKYUXU ZGPNPTSJJULUXVAXBUPMYSPPYUKENEYUXU IPNWVAXGWPYUCNLNJBXSPYUX PAZUEUENTSPUEYUXUPAPYUGJVNJNWYUEMAXR MYNTYPYUKMYAVAGBYPYUXUYSLUPYGWVSXWAJAZCKSELSJTUE IPNWXSPYUXVAXGWPAZUYUXU EUENTSPUEPAPYUBXUSPPSWRXUISNJNJBZUVAXUGW PYSPVXAIPYUWUYAJAXUEEUSE MUPSRUNJTXUSWUEEULAPNAJPAPYSPTSGWU VAXMYNTYPYUKBSLUPYUCSWPVGCCIUSWGXUAVEULAPNAJ PYSPMUYUXUYNBYCKXUWACLUPYSP PYUWUEUSEWYSCCJAPYSLUENUENJLSNJ PYSPPYNWJSPNAJGJEUXGAEWYSCCYSLUSJUMZNXPYAVVXUUEAI SJEPYSPBALUXJIUJP AVPYUHUAHCU ZKPYUHUAHCU VAXPYUHUAHCU WYSCCJAPHUXNWYVXAIPYUUSXPY Hint: • This is an article with three paragraphs. Line boundary helps locating starting and ending words. • Apply Ankur Patwa’s character frequency tool to obtain the frequencies of uni-gram, di-gram, tri-gram, quad-gram in the ciphertext. Then try to generate a monalphabeic mapping using natural language statistics in viewgraph 10 of basic crypto. Normally we start by guessing the high frequency tri-grams and quad-gram. You can verify the correctness of the mapping by cross referencing among the quad-gram, tri-gram, di-gram, uni-gram, and also the starting words and ending words of a line. • On viva, use “monosub.pl ” to geneate the current mapping. monosub.pl is available at /home/cs591/public_html/crypto/src. You can copy the monosub.pl to your directory or use /home/cs591/public_html/crypto/src/monosub.pl • Try to guess and validate as many mappings as possible, say top 4, before you proceed with monosubstituion. • Once you get the working file, try to separate word boundaries to bring out additional mappings. About 4 rounds of mapping you should be able to decipher it. • Document the key mappings, your observations (how you derive the next mappings), and intermediate cipher results.

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1 Laboratory 3 – Sinusoids in Engineering: Measurement and Analysis of Harmonic Signals 3.1 Laboratory Objective The objective of this laboratory is to understand the basic properties of sinusoids and sinusoid measurements. 3.2 Educational Objectives After performing this experiment, students should be able to: 1. Understand the properties of sinusoids. 2. Understand sinusoidal manipulation 3. Use a function generator 4. Obtain measurements using an oscilloscope 3.3 Background Sinusoids are sine or cosine waveforms that can describe many engineering phenomena. Any oscillatory motion can be described using sinusoids. Many types of electrical signals such as square, triangle, and sawtooth waves are modeled using sinusoids. Their manipulation incurs the understanding of certain quantities that describe sinusoidal behavior. These quantities are described below. 3.3.1 Sinusoid Characteristics Amplitude The amplitude A of a sine wave describes the height of the hills and valleys of a sinusoid. It carries the physical units of what the sinusoid is describing (volts, amps, meters, etc.). Frequency There are two types of frequencies that can describe a sinusoid. The normal frequency f is how many times the sinusoid repeats per unit time. It has units of cycles per second (s-1) or Hertz (Hz). The angular frequency ω is how many radians pass per second. Consequently, ω has units of radians per second. Laboratory 3 – Sinusoids in Engineering: Measurement and Analysis of Harmonic Signals 2 Period The period T is how long a sinusoid takes to repeat one complete cycle. The period is measured in seconds. Phase The phase φ of a sinusoid causes a horizontal shift along the t-axis. The phase has units of radians. TimeShift The time shift ts of a sinusoid is a horizontal shift along the t-axis and is a time measurement of the phase. The time shift has units of seconds. NOTE: A sine wave and a cosine wave only differ by a phase shift of 90° or ?2 radians. In reality, they are the same waveform but with a different φ value. 3.3.2 Sinusoidal Relationships Figure 3.1: Sinusoid The general equation of a sinusoid is given below and refers to Figure 3.1. ?(?) = ????(?? +?) (3.1) The angular frequency is related to the normal frequency by Equation 3.2. ?= 2?? (3.2) The angular frequency is also related to the period by Equation 3.3. ?=2?? (3.3) By inspection, the normal frequency is related to the period by Equation 3.4. ? =1? (3.4) ?? Laboratory 3 – Sinusoids in Engineering: Measurement and Analysis of Harmonic Signals 3 The time shift is related to the phase (radians) and the frequency by Equation 3.5. ??= ∅2?? (3.5) 3.3.3 Equipment 3.3.3.1 Inductors Inductors are electrical components that resist a change in the flow of current passing through them. They are essentially coils of wire. Inductors are electromagnets too. They are represented in schematics using the following symbol and physically using the following equipment (with or without exposed wire): Figure 3.2: Symbol and Physical Example for Inductors 3.3.3.2 Capacitors Capacitors are electrical components that store energy. This enables engineers to store electrical energy from an input source such as a battery. Some capacitors are polarized and therefore have a negative and positive plate. One plate is straight, representing the positive terminal on the device, and the other is curved, representing the negative one. Polarized capacitors are represented in schematics using the following symbol and physically using the following equipment: Figure 3.3: Symbol and Physical Example for Capacitors 3.3.3.3 Function Generator A function generator is used to create different types of electrical waveforms over a wide range of frequencies. It generates standard sine, square, and triangle waveforms and uses the analog output channel. 3.3.3.5 Oscilloscope An oscilloscope is a type of electronic test instrument that allows observation of constantly varying voltages, usually as a two-dimensional plot of one or more signals as a function of time. It displays voltage data over time for the analysis of one or two voltage measurements taken from the analog input channels of the Oscilloscope. The observed waveform can be analyzed for amplitude, frequency, time interval and more. Laboratory 3 – Sinusoids in Engineering: Measurement and Analysis of Harmonic Signals 4 3.4 Procedure Follow the steps outlined below after the instructor has explained how to use the laboratory equipment 3.4.1 Sinusoidal Measurements 1. Connect the output channel of the Function Generator to the channel one of the Oscilloscope. 2. Complete Table 3.1 using the given values for voltage and frequency. Table 3.1: Sinusoid Measurements Function Generator Oscilloscope (Measured) Calculated Voltage Amplitude, A (V ) Frequency (Hz) 2*A (Vp−p ) f (Hz) T (sec) ω (rad/sec) T (sec) 2.5 1000 3 5000 3.4.2 Circuit Measurements 1. Connect the circuit in figure 3.4 below with the given resistor and capacitor NOTE: Vs from the circuit comes from the Function Generator using a BNC connector. Figure 3.4: RC Circuit Laboratory 3 – Sinusoids in Engineering: Measurement and Analysis of Harmonic Signals 5 2. Using the alligator to BNC cables, connect channel one of the Oscilloscope across the capacitor and complete Table 3.2 Table 3.2: Capacitor Sinusoid Function Generator Oscilloscope (Measured) Calculated Vs (Volts) Frequency (Hz) Vc (volts) f (Hz) T (sec) ω (rad/sec) 2.5 100 3. Disconnect channel one and connect channel two of the oscilloscope across the resistor and complete table 3.3. Table 3.3: Resistor Sinusoid Function Generator Oscilloscope (Measured) Calculated Vs (Volts) Frequency (Hz) VR (volts) f (Hz) T (sec) ω (rad/sec) 2.5 100 4. Leaving channel two connected across the resistor, clip the positive lead to the positive side of the capacitor and complete table 3.4 Table 3.4: Phase Difference Function Generator Oscilloscope (Measured) Calculated Vs (volts) Frequency (Hz) Divisions Time/Div (sec) ts (sec) ɸ (rad) ɸ (degrees) 2.5 100 5. Using the data from Tables 3.2, 3.3, and 3.4, plot the capacitor sinusoidal equation and the resistor sinusoidal equation on the same graph using MATLAB. HINT: Plot over one period. 6. Kirchoff’s Voltage Law states that ??(?)=??(?)+??(?). Calculate Vs by hand using the following equation and Tables 3.2 and 3.3 ??(?)=√??2+??2???(??−???−1(????)) Laboratory 3 – Sinusoids in Engineering: Measurement and Analysis of Harmonic Signals 6 3.5 New MATLAB Commands hold on  This command allows multiple graphs to be placed on the same XY axis and is placed after the first plot statement. legend (’string 1’, ’string2’, ‘string3’)  This command adds a legend to the plot. Strings must be placed in the order as the plots were generated. plot (x, y, ‘line specifiers’)  This command plots the data and uses line specifiers to differentiate between different plots on the same XY axis. In this lab, only use different line styles from the table below. Table 3.5: Line specifiers for the plot() command sqrt(X)  This command produces the square root of the elements of X. NOTE: The “help” command in MATLAB can be used to find a description and example for functions such as input.  For example, type “help input” in the command window to learn more about the input function. NOTE: Refer to section the “MATLAB Commands” sections from prior labs for previously discussed material that you may also need in order to complete this assignment. Laboratory 3 – Sinusoids in Engineering: Measurement and Analysis of Harmonic Signals 7 3.6 Lab Report Requirements 1. Complete Tables 3.1, 3.2, 3.3, 3.4 (5 points each) 2. Show hand calculations for all four tables. Insert after this page (5 points each) 3. Draw the two sinusoids by hand from table 3.1. Label amplitude, period, and phase. Insert after this page. (5 points) 4. Insert MATLAB plot of Vc and VR as obtained from data in Tables 3.2 and 3.3 after this page. (5 points each) 5. Show hand calculations for Vs(t). Insert after this page. (5 points) 6. Using the data from the Tables, write: (10 points) a) Vc(t) = b) VR(t) = 7. Also, ???(?)=2.5???(628?). Write your Vs below and give reasons why they are different. (10 points) a) Vs(t) = b) Reasons: 8. Write an executive summary for this lab describing what you have done, and learned. (20 points)

1 Laboratory 3 – Sinusoids in Engineering: Measurement and Analysis of Harmonic Signals 3.1 Laboratory Objective The objective of this laboratory is to understand the basic properties of sinusoids and sinusoid measurements. 3.2 Educational Objectives After performing this experiment, students should be able to: 1. Understand the properties of sinusoids. 2. Understand sinusoidal manipulation 3. Use a function generator 4. Obtain measurements using an oscilloscope 3.3 Background Sinusoids are sine or cosine waveforms that can describe many engineering phenomena. Any oscillatory motion can be described using sinusoids. Many types of electrical signals such as square, triangle, and sawtooth waves are modeled using sinusoids. Their manipulation incurs the understanding of certain quantities that describe sinusoidal behavior. These quantities are described below. 3.3.1 Sinusoid Characteristics Amplitude The amplitude A of a sine wave describes the height of the hills and valleys of a sinusoid. It carries the physical units of what the sinusoid is describing (volts, amps, meters, etc.). Frequency There are two types of frequencies that can describe a sinusoid. The normal frequency f is how many times the sinusoid repeats per unit time. It has units of cycles per second (s-1) or Hertz (Hz). The angular frequency ω is how many radians pass per second. Consequently, ω has units of radians per second. Laboratory 3 – Sinusoids in Engineering: Measurement and Analysis of Harmonic Signals 2 Period The period T is how long a sinusoid takes to repeat one complete cycle. The period is measured in seconds. Phase The phase φ of a sinusoid causes a horizontal shift along the t-axis. The phase has units of radians. TimeShift The time shift ts of a sinusoid is a horizontal shift along the t-axis and is a time measurement of the phase. The time shift has units of seconds. NOTE: A sine wave and a cosine wave only differ by a phase shift of 90° or ?2 radians. In reality, they are the same waveform but with a different φ value. 3.3.2 Sinusoidal Relationships Figure 3.1: Sinusoid The general equation of a sinusoid is given below and refers to Figure 3.1. ?(?) = ????(?? +?) (3.1) The angular frequency is related to the normal frequency by Equation 3.2. ?= 2?? (3.2) The angular frequency is also related to the period by Equation 3.3. ?=2?? (3.3) By inspection, the normal frequency is related to the period by Equation 3.4. ? =1? (3.4) ?? Laboratory 3 – Sinusoids in Engineering: Measurement and Analysis of Harmonic Signals 3 The time shift is related to the phase (radians) and the frequency by Equation 3.5. ??= ∅2?? (3.5) 3.3.3 Equipment 3.3.3.1 Inductors Inductors are electrical components that resist a change in the flow of current passing through them. They are essentially coils of wire. Inductors are electromagnets too. They are represented in schematics using the following symbol and physically using the following equipment (with or without exposed wire): Figure 3.2: Symbol and Physical Example for Inductors 3.3.3.2 Capacitors Capacitors are electrical components that store energy. This enables engineers to store electrical energy from an input source such as a battery. Some capacitors are polarized and therefore have a negative and positive plate. One plate is straight, representing the positive terminal on the device, and the other is curved, representing the negative one. Polarized capacitors are represented in schematics using the following symbol and physically using the following equipment: Figure 3.3: Symbol and Physical Example for Capacitors 3.3.3.3 Function Generator A function generator is used to create different types of electrical waveforms over a wide range of frequencies. It generates standard sine, square, and triangle waveforms and uses the analog output channel. 3.3.3.5 Oscilloscope An oscilloscope is a type of electronic test instrument that allows observation of constantly varying voltages, usually as a two-dimensional plot of one or more signals as a function of time. It displays voltage data over time for the analysis of one or two voltage measurements taken from the analog input channels of the Oscilloscope. The observed waveform can be analyzed for amplitude, frequency, time interval and more. Laboratory 3 – Sinusoids in Engineering: Measurement and Analysis of Harmonic Signals 4 3.4 Procedure Follow the steps outlined below after the instructor has explained how to use the laboratory equipment 3.4.1 Sinusoidal Measurements 1. Connect the output channel of the Function Generator to the channel one of the Oscilloscope. 2. Complete Table 3.1 using the given values for voltage and frequency. Table 3.1: Sinusoid Measurements Function Generator Oscilloscope (Measured) Calculated Voltage Amplitude, A (V ) Frequency (Hz) 2*A (Vp−p ) f (Hz) T (sec) ω (rad/sec) T (sec) 2.5 1000 3 5000 3.4.2 Circuit Measurements 1. Connect the circuit in figure 3.4 below with the given resistor and capacitor NOTE: Vs from the circuit comes from the Function Generator using a BNC connector. Figure 3.4: RC Circuit Laboratory 3 – Sinusoids in Engineering: Measurement and Analysis of Harmonic Signals 5 2. Using the alligator to BNC cables, connect channel one of the Oscilloscope across the capacitor and complete Table 3.2 Table 3.2: Capacitor Sinusoid Function Generator Oscilloscope (Measured) Calculated Vs (Volts) Frequency (Hz) Vc (volts) f (Hz) T (sec) ω (rad/sec) 2.5 100 3. Disconnect channel one and connect channel two of the oscilloscope across the resistor and complete table 3.3. Table 3.3: Resistor Sinusoid Function Generator Oscilloscope (Measured) Calculated Vs (Volts) Frequency (Hz) VR (volts) f (Hz) T (sec) ω (rad/sec) 2.5 100 4. Leaving channel two connected across the resistor, clip the positive lead to the positive side of the capacitor and complete table 3.4 Table 3.4: Phase Difference Function Generator Oscilloscope (Measured) Calculated Vs (volts) Frequency (Hz) Divisions Time/Div (sec) ts (sec) ɸ (rad) ɸ (degrees) 2.5 100 5. Using the data from Tables 3.2, 3.3, and 3.4, plot the capacitor sinusoidal equation and the resistor sinusoidal equation on the same graph using MATLAB. HINT: Plot over one period. 6. Kirchoff’s Voltage Law states that ??(?)=??(?)+??(?). Calculate Vs by hand using the following equation and Tables 3.2 and 3.3 ??(?)=√??2+??2???(??−???−1(????)) Laboratory 3 – Sinusoids in Engineering: Measurement and Analysis of Harmonic Signals 6 3.5 New MATLAB Commands hold on  This command allows multiple graphs to be placed on the same XY axis and is placed after the first plot statement. legend (’string 1’, ’string2’, ‘string3’)  This command adds a legend to the plot. Strings must be placed in the order as the plots were generated. plot (x, y, ‘line specifiers’)  This command plots the data and uses line specifiers to differentiate between different plots on the same XY axis. In this lab, only use different line styles from the table below. Table 3.5: Line specifiers for the plot() command sqrt(X)  This command produces the square root of the elements of X. NOTE: The “help” command in MATLAB can be used to find a description and example for functions such as input.  For example, type “help input” in the command window to learn more about the input function. NOTE: Refer to section the “MATLAB Commands” sections from prior labs for previously discussed material that you may also need in order to complete this assignment. Laboratory 3 – Sinusoids in Engineering: Measurement and Analysis of Harmonic Signals 7 3.6 Lab Report Requirements 1. Complete Tables 3.1, 3.2, 3.3, 3.4 (5 points each) 2. Show hand calculations for all four tables. Insert after this page (5 points each) 3. Draw the two sinusoids by hand from table 3.1. Label amplitude, period, and phase. Insert after this page. (5 points) 4. Insert MATLAB plot of Vc and VR as obtained from data in Tables 3.2 and 3.3 after this page. (5 points each) 5. Show hand calculations for Vs(t). Insert after this page. (5 points) 6. Using the data from the Tables, write: (10 points) a) Vc(t) = b) VR(t) = 7. Also, ???(?)=2.5???(628?). Write your Vs below and give reasons why they are different. (10 points) a) Vs(t) = b) Reasons: 8. Write an executive summary for this lab describing what you have done, and learned. (20 points)

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Design of Electrical Systems Name: ______________________________ Note: All problems weighted equally. Show your work on all problems to receive partial credit. Resources: a) The Fundamental Logic Gate Family, Author Unknown b) Electric Devices and Circuit Theory 7th Edition, Boylestad c) Introductory Circuit Analysis 10th Edition, Boylestad d) Power Supplies (Voltage Regulators) Chapter 19, Boylestad e) Electronic Devices and Circuit Theory Chapter 5, Boylestad f) Operational Amplifiers Handout, Self g) Switch Mode Power Supplies, Philips Semiconductor h) NI Tutorial 13714-en October 6, 2013 i) NI Tutorial 13714-en V2.0 October 6, 2013 j) National Instruments Circuit Design Applications http://www.ni.com/multisim/applications/pro/ k) ENERGY STAR https://www.energystar.gov/index.cfm?c=most_efficient.me_comp_monitor_under_23_inches l) Manufactures Device Data Sheets 1) For the VDB shown below, please find the following quantities and plot the load line (Saturation / Cutoff), Q pt (Quiescent Point) and sketch input waveform and output wave form. Remember to test for Exact vs. Approximate Method. Given Bdc = hfe = 150 and RL of 10KΩ. Efficiency _ Class _____ Degrees ___ VR2_______ VE_______ VC _______ VCE ______ IC _______ IE _______ IB _______ PD _______ re’ _______ Av _______ mpp ______ Vout______ What is the effect of reducing RL to 500Ω ________________________________ What is the effect of reducing the Source Frequency to 50 Hz ________________ | | | | | | |____________________________________________ 2) For the following Networks, please complete the Truth Tables, Logic Gate Type, provide the Boolean Logic Expression. A | Vout 0 | 1 | Logic Gate Type _______ Boolean Logic Expression _________ A B| Vout 0 0| 0 1| 1 0| 1 1| Logic Gate Type _______ Boolean Logic Expression _________ A B C| Vout 0 0 0| 0 0 1| 0 1 0| 0 1 1| 1 0 0| 1 0 1| 1 1 0| 1 1 1| Logic Gate Type _______ Boolean Logic Expression _________ Operation of Transistors ____________ 3) For the Network shown below, please refer to Electronic Devices and Circuit Theory Chapter 5, Boylestad to solve for the following values: Given: Bdc1 = hfe1 = 55 Bdc2 = hfe2 = 70 Bdc Total ______ IB1 _________ IB2 _________ VC1 __________ VC2 __________ VE1 __________ VE2 __________ What is this Transistor Configuration? _______________________ What are the advantages of this Transistor Configuration? _________________________________________ _________________________________________ _________________________________________ _________________________________________ 4) Design a Four (4) output Power Supply with the following Specifications, Provide a clean schematic sketch of circuit (Please provide the schematic sketch on a separate piece of graph paper). Use a straight edge and label everything. Refer to Data Sheets as necessary. Specifications: 120 VAC rms 60 Hz Source Positive + 15 VDC Driving a 15Ω 20 Watt Resistive Load Positive +8 VDC Driving a 10Ω 2 Watt Resistive Load Negative – 12 VDC Driving a 10Ω 2 Watt Resistive Load Negative – 5 VDC Driving a 4Ω 2 Watt Resistive Load Parts available (Must use parts): 1x 120 VAC 40 Volt 3.5 Amp Center Tap Transformer 1x Fuse 1x Bridge Rectifier 12 Amp 1x LM7808 1x LM7815 1x LM7905 1x LM7912 Psource _____________ Fuse size with 25% Service Factor, 1-10 Amps increments of 1A, 10 – 50 Amps increments of 5 Amps ______ Are we exceeding Power Dissipation of any components? If so please identify and provide a brief explanation: _________________________________________________________________ _________________________________________________________________ 5) For the circuit shown below please calculate the following quantities, and Plot the Trans-Conductance Curve (Transfer Curve), (Please provide the plot on a separate piece of graph paper): You will need to refer to the 2N3819 N-Channel JFET ON Semiconductor Data Sheet Posted on Bb. VDS _________ VP ___________ VGS(off) ______ VS __________ VD __________ VG __________ PDD _________ PSource ______ VGSQ ________ IDQ __________ 6) Determine both the Upper and Lower Cutoff frequencies. Sketch Bode plot and label everything including dB Role-Off. Construct Network in Multisim and perform AC Analysis verifying frequency response and Upper and Lower Cutoff Frequencies in support of your calculations. Attach Screen shot of your Multisim Model and AC Analysis. Repeat the above for a 2nd Order Active BP Filter. You will need to research this configuration. Make sure that you use the same values for R and C. Upper and Lower Cutoff Frequencies are determined by for the 2nd Order Active BP Filter fc = 1/(2(3.14)SQRT(R1R2C1C2)). Demonstrate a change in Roll-Off from 1st Order to 2nd Order. First Order: Lower Cutoff Frequency ________ Upper Cutoff Frequency ________ Roll-Off ______________________ | | | | | | | |_____________________________________________________________ Second Order: Lower Cutoff Frequency ________ Upper Cutoff Frequency ________ Roll-Off ______________________ | | | | | | |_____________________________________________________________ 7) The following questions relate to LED Backlight LCD Monitors. (Please feel free to use more paper if need be). See Resources. Please explain the differences between LED Backlight LCD Monitor, LCD and CCFL Monitors (Cold Cathode Fluorescent Lamp) Monitors. What are some advantages of LED Backlight LCD Monitors when compared with LCD and CCFL Monitors? What color LEDs are used in the creation of an LED Backlight LCD Monitor? Does a Black Background use less energy than a White Background? If you can believe the hype, how and why are LED Backlight LCD Monitors among the most energy efficient, higher than heirs apparent? 8) In this problem the goal is to verify the Transfer Characteristics of the 2N7000G Enhancement Mode N-Channel MOSFET against the manufactures Data Sheets. Please create in Multisim a Model as exampled below. First Plot by hand on Graph Paper various VGS Voltages vs ID. Second simulate using the DC Sweep Analysis. From these results verify against the 2N7000G ON Semiconductor Data Sheet Posted on Bb, remembering that the 2N7000G ON Semiconductor Data Sheet includes both Tabulated Data and Figure 2. Transfer Characteristics. Attach all results, screen shots and write a brief description of your work. • I estimate that my mark for this exam will be: ________ % • Time spent on this exam: __________ Hours • Average of time spent per week on work for EGR-330 (outside class sessions): ______________ Hours

Design of Electrical Systems Name: ______________________________ Note: All problems weighted equally. Show your work on all problems to receive partial credit. Resources: a) The Fundamental Logic Gate Family, Author Unknown b) Electric Devices and Circuit Theory 7th Edition, Boylestad c) Introductory Circuit Analysis 10th Edition, Boylestad d) Power Supplies (Voltage Regulators) Chapter 19, Boylestad e) Electronic Devices and Circuit Theory Chapter 5, Boylestad f) Operational Amplifiers Handout, Self g) Switch Mode Power Supplies, Philips Semiconductor h) NI Tutorial 13714-en October 6, 2013 i) NI Tutorial 13714-en V2.0 October 6, 2013 j) National Instruments Circuit Design Applications http://www.ni.com/multisim/applications/pro/ k) ENERGY STAR https://www.energystar.gov/index.cfm?c=most_efficient.me_comp_monitor_under_23_inches l) Manufactures Device Data Sheets 1) For the VDB shown below, please find the following quantities and plot the load line (Saturation / Cutoff), Q pt (Quiescent Point) and sketch input waveform and output wave form. Remember to test for Exact vs. Approximate Method. Given Bdc = hfe = 150 and RL of 10KΩ. Efficiency _ Class _____ Degrees ___ VR2_______ VE_______ VC _______ VCE ______ IC _______ IE _______ IB _______ PD _______ re’ _______ Av _______ mpp ______ Vout______ What is the effect of reducing RL to 500Ω ________________________________ What is the effect of reducing the Source Frequency to 50 Hz ________________ | | | | | | |____________________________________________ 2) For the following Networks, please complete the Truth Tables, Logic Gate Type, provide the Boolean Logic Expression. A | Vout 0 | 1 | Logic Gate Type _______ Boolean Logic Expression _________ A B| Vout 0 0| 0 1| 1 0| 1 1| Logic Gate Type _______ Boolean Logic Expression _________ A B C| Vout 0 0 0| 0 0 1| 0 1 0| 0 1 1| 1 0 0| 1 0 1| 1 1 0| 1 1 1| Logic Gate Type _______ Boolean Logic Expression _________ Operation of Transistors ____________ 3) For the Network shown below, please refer to Electronic Devices and Circuit Theory Chapter 5, Boylestad to solve for the following values: Given: Bdc1 = hfe1 = 55 Bdc2 = hfe2 = 70 Bdc Total ______ IB1 _________ IB2 _________ VC1 __________ VC2 __________ VE1 __________ VE2 __________ What is this Transistor Configuration? _______________________ What are the advantages of this Transistor Configuration? _________________________________________ _________________________________________ _________________________________________ _________________________________________ 4) Design a Four (4) output Power Supply with the following Specifications, Provide a clean schematic sketch of circuit (Please provide the schematic sketch on a separate piece of graph paper). Use a straight edge and label everything. Refer to Data Sheets as necessary. Specifications: 120 VAC rms 60 Hz Source Positive + 15 VDC Driving a 15Ω 20 Watt Resistive Load Positive +8 VDC Driving a 10Ω 2 Watt Resistive Load Negative – 12 VDC Driving a 10Ω 2 Watt Resistive Load Negative – 5 VDC Driving a 4Ω 2 Watt Resistive Load Parts available (Must use parts): 1x 120 VAC 40 Volt 3.5 Amp Center Tap Transformer 1x Fuse 1x Bridge Rectifier 12 Amp 1x LM7808 1x LM7815 1x LM7905 1x LM7912 Psource _____________ Fuse size with 25% Service Factor, 1-10 Amps increments of 1A, 10 – 50 Amps increments of 5 Amps ______ Are we exceeding Power Dissipation of any components? If so please identify and provide a brief explanation: _________________________________________________________________ _________________________________________________________________ 5) For the circuit shown below please calculate the following quantities, and Plot the Trans-Conductance Curve (Transfer Curve), (Please provide the plot on a separate piece of graph paper): You will need to refer to the 2N3819 N-Channel JFET ON Semiconductor Data Sheet Posted on Bb. VDS _________ VP ___________ VGS(off) ______ VS __________ VD __________ VG __________ PDD _________ PSource ______ VGSQ ________ IDQ __________ 6) Determine both the Upper and Lower Cutoff frequencies. Sketch Bode plot and label everything including dB Role-Off. Construct Network in Multisim and perform AC Analysis verifying frequency response and Upper and Lower Cutoff Frequencies in support of your calculations. Attach Screen shot of your Multisim Model and AC Analysis. Repeat the above for a 2nd Order Active BP Filter. You will need to research this configuration. Make sure that you use the same values for R and C. Upper and Lower Cutoff Frequencies are determined by for the 2nd Order Active BP Filter fc = 1/(2(3.14)SQRT(R1R2C1C2)). Demonstrate a change in Roll-Off from 1st Order to 2nd Order. First Order: Lower Cutoff Frequency ________ Upper Cutoff Frequency ________ Roll-Off ______________________ | | | | | | | |_____________________________________________________________ Second Order: Lower Cutoff Frequency ________ Upper Cutoff Frequency ________ Roll-Off ______________________ | | | | | | |_____________________________________________________________ 7) The following questions relate to LED Backlight LCD Monitors. (Please feel free to use more paper if need be). See Resources. Please explain the differences between LED Backlight LCD Monitor, LCD and CCFL Monitors (Cold Cathode Fluorescent Lamp) Monitors. What are some advantages of LED Backlight LCD Monitors when compared with LCD and CCFL Monitors? What color LEDs are used in the creation of an LED Backlight LCD Monitor? Does a Black Background use less energy than a White Background? If you can believe the hype, how and why are LED Backlight LCD Monitors among the most energy efficient, higher than heirs apparent? 8) In this problem the goal is to verify the Transfer Characteristics of the 2N7000G Enhancement Mode N-Channel MOSFET against the manufactures Data Sheets. Please create in Multisim a Model as exampled below. First Plot by hand on Graph Paper various VGS Voltages vs ID. Second simulate using the DC Sweep Analysis. From these results verify against the 2N7000G ON Semiconductor Data Sheet Posted on Bb, remembering that the 2N7000G ON Semiconductor Data Sheet includes both Tabulated Data and Figure 2. Transfer Characteristics. Attach all results, screen shots and write a brief description of your work. • I estimate that my mark for this exam will be: ________ % • Time spent on this exam: __________ Hours • Average of time spent per week on work for EGR-330 (outside class sessions): ______________ Hours

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Biomedical Signal and Image Processing (4800_420_001) Assigned on September 12th, 2017 Assignment 4 – Noise and Correlation 1. If a signal is measured as 2.5 V and the noise is 28 mV (28 × 10−3 V), what is the SNR in dB? 2. A single sinusoidal signal is found with some noise. If the RMS value of the noise is 0.5 V and the SNR is 10 dB, what is the RMS amplitude of the sinusoid? 3. The file signal_noise.mat contains a variable x that consists of a 1.0-V peak sinusoidal signal buried in noise. What is the SNR for this signal and noise? Assume that the noise RMS is much greater than the signal RMS. Note: “signal_noise.mat” and other files used in these assignments can be downloaded from the content area of Brightspace, within the “Data Files for Exercises” folder. These files can be opened in Matlab by copying into the active folder and double-clicking on the file or using the Matlab load command using the format: load(‘signal_noise.mat’). To discover the variables within the files use the Matlab who command. 4. An 8-bit ADC converter that has an input range of ±5 V is used to convert a signal that ranges between ±2 V. What is the SNR of the input if the input noise equals the quantization noise of the converter? Hint: Refer to Equation below to find the quantization noise: 5. The file filter1.mat contains the spectrum of a fourth-order lowpass filter as variable x in dB. The file also contains the corresponding frequencies of x in variable freq. Plot the spectrum of this filter both as dB versus log frequency and as linear amplitude versus linear frequency. The frequency axis should range between 10 and 400 Hz in both plots. Hint: Use Equation below to convert: Biomedical Signal and Image Processing (4800_420_001) Assigned on September 12th, 2017 6. Generate one cycle of the square wave similar to the one shown below in a 500-point MATLAB array. Determine the RMS value of this waveform. [Hint: When you take the square of the data array, be sure to use a period before the up arrow so that MATLAB does the squaring point-by-point (i.e., x.^2).]. 7. A resistor produces 10 μV noise (i.e., 10 × 10−6 V noise) when the room temperature is 310 K and the bandwidth is 1 kHz (i.e., 1000 Hz). What current noise would be produced by this resistor? 8. A 3-ma current flows through both a diode (i.e., a semiconductor) and a 20,000-Ω (i.e., 20-kΩ) resistor. What is the net current noise, in? Assume a bandwidth of 1 kHz (i.e., 1 × 103 Hz). Which of the two components is responsible for producing the most noise? 9. Determine if the two signals, x and y, in file correl1.mat are correlated by checking the angle between them. 10. Modify the approach used in Practice Problem 3 to find the angle between short signals: Do not attempt to plot these vectors as it would require a 6-dimensional plot!

Biomedical Signal and Image Processing (4800_420_001) Assigned on September 12th, 2017 Assignment 4 – Noise and Correlation 1. If a signal is measured as 2.5 V and the noise is 28 mV (28 × 10−3 V), what is the SNR in dB? 2. A single sinusoidal signal is found with some noise. If the RMS value of the noise is 0.5 V and the SNR is 10 dB, what is the RMS amplitude of the sinusoid? 3. The file signal_noise.mat contains a variable x that consists of a 1.0-V peak sinusoidal signal buried in noise. What is the SNR for this signal and noise? Assume that the noise RMS is much greater than the signal RMS. Note: “signal_noise.mat” and other files used in these assignments can be downloaded from the content area of Brightspace, within the “Data Files for Exercises” folder. These files can be opened in Matlab by copying into the active folder and double-clicking on the file or using the Matlab load command using the format: load(‘signal_noise.mat’). To discover the variables within the files use the Matlab who command. 4. An 8-bit ADC converter that has an input range of ±5 V is used to convert a signal that ranges between ±2 V. What is the SNR of the input if the input noise equals the quantization noise of the converter? Hint: Refer to Equation below to find the quantization noise: 5. The file filter1.mat contains the spectrum of a fourth-order lowpass filter as variable x in dB. The file also contains the corresponding frequencies of x in variable freq. Plot the spectrum of this filter both as dB versus log frequency and as linear amplitude versus linear frequency. The frequency axis should range between 10 and 400 Hz in both plots. Hint: Use Equation below to convert: Biomedical Signal and Image Processing (4800_420_001) Assigned on September 12th, 2017 6. Generate one cycle of the square wave similar to the one shown below in a 500-point MATLAB array. Determine the RMS value of this waveform. [Hint: When you take the square of the data array, be sure to use a period before the up arrow so that MATLAB does the squaring point-by-point (i.e., x.^2).]. 7. A resistor produces 10 μV noise (i.e., 10 × 10−6 V noise) when the room temperature is 310 K and the bandwidth is 1 kHz (i.e., 1000 Hz). What current noise would be produced by this resistor? 8. A 3-ma current flows through both a diode (i.e., a semiconductor) and a 20,000-Ω (i.e., 20-kΩ) resistor. What is the net current noise, in? Assume a bandwidth of 1 kHz (i.e., 1 × 103 Hz). Which of the two components is responsible for producing the most noise? 9. Determine if the two signals, x and y, in file correl1.mat are correlated by checking the angle between them. 10. Modify the approach used in Practice Problem 3 to find the angle between short signals: Do not attempt to plot these vectors as it would require a 6-dimensional plot!

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Calculate the ratio of the highest to lowest frequencies of electromagnetic waves the eye can see, given the wavelength range of visible light is from 380 to 760 nm. A. 3 B. 4 C. 2 + D. 6 E. 7

Calculate the ratio of the highest to lowest frequencies of electromagnetic waves the eye can see, given the wavelength range of visible light is from 380 to 760 nm. A. 3 B. 4 C. 2 + D. 6 E. 7

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Vermont Technical College Electronics I – Laboratory ELT-2051 Lab 07: Transistor Biasing Circuits and Q-point Stability Objectives: • To set an operating point for a transistor using three different bias techniques • To explore amplification of an AC signal • To use MultiSim to verify your experimental data General: In this laboratory, you will be supplied with two NPN transistors with varying ß’s. Prelab: Calculate values of Rb in Figures 1 and 2 assuming ß = 200, VCE = 6V . For Figure 3, calculate R1 and R2 so that their parallel resistance is about 20KΩ or 10% of (ß+1)RE. Also, calculate the critical frequency of the 1uF capacitor in Figure 4. Materials: • 2N3904, 2N4123 NPN TXs (1 high ß, 1 low ß) • (2) 1 k Ohm, 100 k Ohm, assorted resistors • 1uF, 10uF capacitors • Curve Tracer • DC Power Supply • Multimeter • Signal Generator • Oscilloscope • Breadboard Procedure: 1. Use the curve tracer to plot the curves for each of your transistors. From these curves, again using the curve tracer, determine the ßDC for each transistor at the IC currents of 1mA, 3mA, 6mA, and 10mA with VCE = 6V. Of course, be sure to keep track of which transistor goes with which curve. Verify that the ßDC values that you obtain are within the manufacturer’s specifications. Remember– ßDC = hFE ! 2. For each of the three circuits shown in Figures 1-3, using the R values calculated in your prelab, determine the operating points IC and VCE for each of the transistors. Be sure to table your data. In addition, plot ß vs IC for both transistors on a single graph so that the data is meaningful! What conclusions can be reached for the 3 biasing circuits? 3. Lastly – Build Figure 4 and determine the ratio (Gain) of Vout/Vin at 1KHz. Now vary the frequency of Vin to determine at what frequencies this ratio decreases to 0.707 of the value at 1KHz. 4. Use the Bode Plotter feature in MultiSim to verify your data of Part 3. Is the cut-off frequency the same as you measured in the lab? Base Bias: Parameter Calculated Value Simulated Value Measured Value VCE1 (high β) VCE2 (low β) n/a n/a |VCE1 – VCE2| 0 0 IC1 (high β) IC2 (low β) n/a n/a |IC1 – IC2| 0 0 Emitter Bias: Parameter Calculated Value Simulated Value Measured Value VCE1 (high β) VCE2 (low β) n/a n/a |VCE1 – VCE2| 0 0 IC1 (high β) IC2 (low β) n/a n/a |IC1 – IC2| 0 0 Voltage Divider Bias: Parameter Calculated Value Simulated Value Measured Value VCE1 (high β) VCE2 (low β) n/a n/a |VCE1 – VCE2| 0 0 IC1 (high β) IC2 (low β) n/a n/a |IC1 – IC2| 0 0 Laboratory Report: This lab is a semi-formal lab. Be sure to collect all data necessary to make observations and answer questions before you leave the lab. Also, you and your lab partner should discuss the results and outcomes prior to leaving. Take notes, fill in tables and include diagrams as needed. Your report should include: • Data Table • Beta Plot • MultiSim Frequency Response • Comparison of biasing schemes • Comparison of measurements vs. simulations and expectations.

Vermont Technical College Electronics I – Laboratory ELT-2051 Lab 07: Transistor Biasing Circuits and Q-point Stability Objectives: • To set an operating point for a transistor using three different bias techniques • To explore amplification of an AC signal • To use MultiSim to verify your experimental data General: In this laboratory, you will be supplied with two NPN transistors with varying ß’s. Prelab: Calculate values of Rb in Figures 1 and 2 assuming ß = 200, VCE = 6V . For Figure 3, calculate R1 and R2 so that their parallel resistance is about 20KΩ or 10% of (ß+1)RE. Also, calculate the critical frequency of the 1uF capacitor in Figure 4. Materials: • 2N3904, 2N4123 NPN TXs (1 high ß, 1 low ß) • (2) 1 k Ohm, 100 k Ohm, assorted resistors • 1uF, 10uF capacitors • Curve Tracer • DC Power Supply • Multimeter • Signal Generator • Oscilloscope • Breadboard Procedure: 1. Use the curve tracer to plot the curves for each of your transistors. From these curves, again using the curve tracer, determine the ßDC for each transistor at the IC currents of 1mA, 3mA, 6mA, and 10mA with VCE = 6V. Of course, be sure to keep track of which transistor goes with which curve. Verify that the ßDC values that you obtain are within the manufacturer’s specifications. Remember– ßDC = hFE ! 2. For each of the three circuits shown in Figures 1-3, using the R values calculated in your prelab, determine the operating points IC and VCE for each of the transistors. Be sure to table your data. In addition, plot ß vs IC for both transistors on a single graph so that the data is meaningful! What conclusions can be reached for the 3 biasing circuits? 3. Lastly – Build Figure 4 and determine the ratio (Gain) of Vout/Vin at 1KHz. Now vary the frequency of Vin to determine at what frequencies this ratio decreases to 0.707 of the value at 1KHz. 4. Use the Bode Plotter feature in MultiSim to verify your data of Part 3. Is the cut-off frequency the same as you measured in the lab? Base Bias: Parameter Calculated Value Simulated Value Measured Value VCE1 (high β) VCE2 (low β) n/a n/a |VCE1 – VCE2| 0 0 IC1 (high β) IC2 (low β) n/a n/a |IC1 – IC2| 0 0 Emitter Bias: Parameter Calculated Value Simulated Value Measured Value VCE1 (high β) VCE2 (low β) n/a n/a |VCE1 – VCE2| 0 0 IC1 (high β) IC2 (low β) n/a n/a |IC1 – IC2| 0 0 Voltage Divider Bias: Parameter Calculated Value Simulated Value Measured Value VCE1 (high β) VCE2 (low β) n/a n/a |VCE1 – VCE2| 0 0 IC1 (high β) IC2 (low β) n/a n/a |IC1 – IC2| 0 0 Laboratory Report: This lab is a semi-formal lab. Be sure to collect all data necessary to make observations and answer questions before you leave the lab. Also, you and your lab partner should discuss the results and outcomes prior to leaving. Take notes, fill in tables and include diagrams as needed. Your report should include: • Data Table • Beta Plot • MultiSim Frequency Response • Comparison of biasing schemes • Comparison of measurements vs. simulations and expectations.

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Air is flowing with a constant U∞= 2 m/s velocity and T∞= 20oC temperature over a L= 2 m long flat plate maintained at constant temperature of Ts= 34oC. Starting at x=0 laminar, steady, incompressible, 2-D momentum and thermal boundary layers form over the flat plate. Air properties at film temperature are: ν=1.589×10-5 m2/s, k=0.0263 W/(mK), Pr=0.707 ρ=1.16 Kg/m3, Cp=1007 J/(KgK). The plate is 1 m wide. The approximate velocity and temperature profiles are given as: u/U∞= 2(y/ δ)-(y/ δ)2 (T- Ts)/( T∞-Ts)= 2(y/ δt)-(y/ δt)2 Approximate equation for momentum boundary layer growth is: δ/x=5.5Rex-1/2 and δ/ δt=Pr1/3 a. (15)Calculate the total heat transfer using given equations. b. (5) Compare the heat transfer with the values obtained from exact solutions. 2(30). A hot wire anemometer contains a very thin wire exposed to the turbulent flow and the wire temperature is kept constant by a bridge circuit. This was discussed in class. The wire diameter is 5 x 10-6m ,its length is 2 mm.The wire temperature is 104oC. The hot wire properties are ρ= 16,630 Kg/m3, c=162 J/(KgK), k=47W/(mK) and it is exposed to a turbulent air flow with a mean velocity of 50 m/s and temperature 50 oC, At the film temperature air properties are: ν=20.9×10-6 m2/s, k=0.030 W/(mK), Pr=0.7, ρ=0.995 Kg/m3, cp=1009 J/(KgK). Use a correlation that fits the given properties. a. (20)Calculate the power supply to the wire assuming steady state. b. (10)Approximately up to what frequencies of flow oscillations the wire can measure?(Hint: this frequency is the inverse of the wire thermal time constant)

Air is flowing with a constant U∞= 2 m/s velocity and T∞= 20oC temperature over a L= 2 m long flat plate maintained at constant temperature of Ts= 34oC. Starting at x=0 laminar, steady, incompressible, 2-D momentum and thermal boundary layers form over the flat plate. Air properties at film temperature are: ν=1.589×10-5 m2/s, k=0.0263 W/(mK), Pr=0.707 ρ=1.16 Kg/m3, Cp=1007 J/(KgK). The plate is 1 m wide. The approximate velocity and temperature profiles are given as: u/U∞= 2(y/ δ)-(y/ δ)2 (T- Ts)/( T∞-Ts)= 2(y/ δt)-(y/ δt)2 Approximate equation for momentum boundary layer growth is: δ/x=5.5Rex-1/2 and δ/ δt=Pr1/3 a. (15)Calculate the total heat transfer using given equations. b. (5) Compare the heat transfer with the values obtained from exact solutions. 2(30). A hot wire anemometer contains a very thin wire exposed to the turbulent flow and the wire temperature is kept constant by a bridge circuit. This was discussed in class. The wire diameter is 5 x 10-6m ,its length is 2 mm.The wire temperature is 104oC. The hot wire properties are ρ= 16,630 Kg/m3, c=162 J/(KgK), k=47W/(mK) and it is exposed to a turbulent air flow with a mean velocity of 50 m/s and temperature 50 oC, At the film temperature air properties are: ν=20.9×10-6 m2/s, k=0.030 W/(mK), Pr=0.7, ρ=0.995 Kg/m3, cp=1009 J/(KgK). Use a correlation that fits the given properties. a. (20)Calculate the power supply to the wire assuming steady state. b. (10)Approximately up to what frequencies of flow oscillations the wire can measure?(Hint: this frequency is the inverse of the wire thermal time constant)

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Question 1, chap 33, sect 3. part 1 of 2 10 points The compound eyes of bees and other insects are highly sensitive to light in the ultraviolet portion of the spectrum, particularly light with frequencies between 7.5 × 1014 Hz and 1.0 × 1015 Hz. The speed of light is 3 × 108 m/s. What is the largest wavelength to which these frequencies correspond? Question 3, chap 33, sect 3. part 1 of 3 10 points A plane electromagnetic sinusoidal wave of frequency 10.7 MHz travels in free space. The speed of light is 2.99792 × 108 m/s. Determine the wavelength of the wave. Question 4, chap 33, sect 3. part 2 of 3 10 points Find the period of the wave. Question 2, chap 33, sect 3. part 2 of 2 10 points What is the smallest wavelength? Question 5, chap 33, sect 3. part 3 of 3 10 points At some point and some instant, the electric field has has a value of 998 N/C. Calculate the magnitude of the magnetic field at this point and this instant. Question 6, chap 33, sect 3. part 1 of 2 10 points A plane electromagnetic sinusoidal wave of frequency 10.7 MHz travels in free space. The speed of light is 2.99792 × 108 m/s. Determine the wavelength of the wave. Question 8, chap 33, sect 3. part 1 of 1 10 points The magnetic field amplitude of an electromagnetic wave is 9.9 × 10−6 T. The speed of light is 2.99792 × 108 m/s . Calculate the amplitude of the electric field if the wave is traveling in free space. Question 7, chap 33, sect 3. part 2 of 2 10 points At some point and some instant, the electric field has has a value of 998 V/m. Calculate the magnitude of the magnetic field at this point and this instant. Question 9, chap 33, sect 5. part 1 of 1 10 points The cable is carrying the current I(t). at the surface of a long transmission cable of resistivity ρ, length ℓ and radius a, using the expression ~S = 1 μ0 ~E × ~B . Question 10, chap 33, sect 5. part 1 of 1 10 points In 1965 Penzias and Wilson discovered the cosmic microwave radiation left over from the Big Bang expansion of the universe. The energy density of this radiation is 7.64 × 10−14 J/m3. The speed of light 2.99792 × 108 m/s and the permeability of free space is 4π × 10−7 N/A2. Determine the corresponding electric field amplQuestion 11, chap 33, sect 5. part 1 of 5 10 points Consider a monochromatic electromagnetic plane wave propagating in the x direction. At a particular point in space, the magnitude of the electric field has an instantaneous value of 998 V/m in the positive y-direction. The wave is traveling in the positive x-direction. x y z E wave propagation The speed of light is 2.99792×108 m/s, the permeability of free space is 4π×10−7 T ・ N/A and the permittivity of free space 8.85419 × 10−12 C2/N ・ m2. Compute the instantaneous magnitude of the magnetic field at the same point and time.itude. Question 12, chap 33, sect 5. part 2 of 5 10 points What is the instantaneous magnitude of the Poynting vector at the same point and time? Question 13, chap 33, sect 5. part 3 of 5 10 points What are the directions of the instantaneous magnetic field and theQuestion 14, chap 33, sect 5. part 4 of 5 10 points What is the instantaneous value of the energy density of the electric field? Question 16, chap 33, sect 6. part 1 of 4 10 points Consider an electromagnetic plane wave with time average intensity 104 W/m2 . The speed of light is 2.99792 × 108 m/s and the permeability of free space is 4 π × 10−7 T・m/A. What is its maximum electric field? What is the instantaneous value of the energy density of the magnetic field? Question 17, chap 33, sect 6. part 2 of 4 10 points What is the the maximum magnetic field? Question 19, chap 33, sect 6. part 4 of 4 10 points Consider an electromagnetic wave pattern as shown in the figure below. Question 18, chap 33, sect 6. part 3 of 4 10 points What is the pressure on a surface which is perpendicular to the beam and is totally reflective? Question 20, chap 33, sect 8. part 1 of 1 10 points A coin is at the bottom of a beaker. The beaker is filled with 1.6 cm of water (n1 = 1.33) covered by 2.1 cm of liquid (n2 = 1.4) floating on the water. How deep does the coin appear to be from the upper surface of the liquid (near the top of the beaker)? An cylindrical opaque drinking glass has a diameter 3 cm and height h, as shown in the figure. An observer’s eye is placed as shown (the observer is just barely looking over the rim of the glass). When empty, the observer can just barely see the edge of the bottom of the glass. When filled to the brim with a transparent liquid, the observer can just barely see the center of the bottom of the glass. The liquid in the drinking glass has an index of refraction of 1.4 . θi h d θr eye Calculate the angle θr . Question 22, chap 33, sect 8. part 2 of 2 10 points Calculate the height h of the glass.

Question 1, chap 33, sect 3. part 1 of 2 10 points The compound eyes of bees and other insects are highly sensitive to light in the ultraviolet portion of the spectrum, particularly light with frequencies between 7.5 × 1014 Hz and 1.0 × 1015 Hz. The speed of light is 3 × 108 m/s. What is the largest wavelength to which these frequencies correspond? Question 3, chap 33, sect 3. part 1 of 3 10 points A plane electromagnetic sinusoidal wave of frequency 10.7 MHz travels in free space. The speed of light is 2.99792 × 108 m/s. Determine the wavelength of the wave. Question 4, chap 33, sect 3. part 2 of 3 10 points Find the period of the wave. Question 2, chap 33, sect 3. part 2 of 2 10 points What is the smallest wavelength? Question 5, chap 33, sect 3. part 3 of 3 10 points At some point and some instant, the electric field has has a value of 998 N/C. Calculate the magnitude of the magnetic field at this point and this instant. Question 6, chap 33, sect 3. part 1 of 2 10 points A plane electromagnetic sinusoidal wave of frequency 10.7 MHz travels in free space. The speed of light is 2.99792 × 108 m/s. Determine the wavelength of the wave. Question 8, chap 33, sect 3. part 1 of 1 10 points The magnetic field amplitude of an electromagnetic wave is 9.9 × 10−6 T. The speed of light is 2.99792 × 108 m/s . Calculate the amplitude of the electric field if the wave is traveling in free space. Question 7, chap 33, sect 3. part 2 of 2 10 points At some point and some instant, the electric field has has a value of 998 V/m. Calculate the magnitude of the magnetic field at this point and this instant. Question 9, chap 33, sect 5. part 1 of 1 10 points The cable is carrying the current I(t). at the surface of a long transmission cable of resistivity ρ, length ℓ and radius a, using the expression ~S = 1 μ0 ~E × ~B . Question 10, chap 33, sect 5. part 1 of 1 10 points In 1965 Penzias and Wilson discovered the cosmic microwave radiation left over from the Big Bang expansion of the universe. The energy density of this radiation is 7.64 × 10−14 J/m3. The speed of light 2.99792 × 108 m/s and the permeability of free space is 4π × 10−7 N/A2. Determine the corresponding electric field amplQuestion 11, chap 33, sect 5. part 1 of 5 10 points Consider a monochromatic electromagnetic plane wave propagating in the x direction. At a particular point in space, the magnitude of the electric field has an instantaneous value of 998 V/m in the positive y-direction. The wave is traveling in the positive x-direction. x y z E wave propagation The speed of light is 2.99792×108 m/s, the permeability of free space is 4π×10−7 T ・ N/A and the permittivity of free space 8.85419 × 10−12 C2/N ・ m2. Compute the instantaneous magnitude of the magnetic field at the same point and time.itude. Question 12, chap 33, sect 5. part 2 of 5 10 points What is the instantaneous magnitude of the Poynting vector at the same point and time? Question 13, chap 33, sect 5. part 3 of 5 10 points What are the directions of the instantaneous magnetic field and theQuestion 14, chap 33, sect 5. part 4 of 5 10 points What is the instantaneous value of the energy density of the electric field? Question 16, chap 33, sect 6. part 1 of 4 10 points Consider an electromagnetic plane wave with time average intensity 104 W/m2 . The speed of light is 2.99792 × 108 m/s and the permeability of free space is 4 π × 10−7 T・m/A. What is its maximum electric field? What is the instantaneous value of the energy density of the magnetic field? Question 17, chap 33, sect 6. part 2 of 4 10 points What is the the maximum magnetic field? Question 19, chap 33, sect 6. part 4 of 4 10 points Consider an electromagnetic wave pattern as shown in the figure below. Question 18, chap 33, sect 6. part 3 of 4 10 points What is the pressure on a surface which is perpendicular to the beam and is totally reflective? Question 20, chap 33, sect 8. part 1 of 1 10 points A coin is at the bottom of a beaker. The beaker is filled with 1.6 cm of water (n1 = 1.33) covered by 2.1 cm of liquid (n2 = 1.4) floating on the water. How deep does the coin appear to be from the upper surface of the liquid (near the top of the beaker)? An cylindrical opaque drinking glass has a diameter 3 cm and height h, as shown in the figure. An observer’s eye is placed as shown (the observer is just barely looking over the rim of the glass). When empty, the observer can just barely see the edge of the bottom of the glass. When filled to the brim with a transparent liquid, the observer can just barely see the center of the bottom of the glass. The liquid in the drinking glass has an index of refraction of 1.4 . θi h d θr eye Calculate the angle θr . Question 22, chap 33, sect 8. part 2 of 2 10 points Calculate the height h of the glass.