EE214 Fall 2015 Problem Set1 I am submitting my own work in this exercise, and I am aware of the penalties for cheating that will be assessed if I submit work for credit that is not my own. Print Name Sign Name Date Contains material © Digilent, Inc. 7 pages 1. (15 points) Below are some circuit elements from a simple digital system. 3.3V 20mA VB 1Kohm VA 1.3V RB 1K RC RD SW1 SW2 RA VC When the pushbutton SW1 is not pressed, what is the voltage at VA? (1pt) When the SW1 is pressed, what is the voltage at VA? (1pt) When the SW1 is pressed, what current flows in the 1K resistor RA? (1pt) When SW1 is pressed, what power is dissipated in RA? (2pt) In the LED circuit, 1.3V is required at VB to forward-bias the LED and cause current to flow. Given there is a 1.3V drop across the LED, what resistance RB is required for 20mA to flow through the LED? (2pt) What power is dissipated in the LED? (1pt) In the circuit on the far right, if RC dissipates 25mW, what is VC? (2pt) Using the VC voltage you calculated, if RC is changed to 100Ohms, how much power would it dissipate? (2pt) Using the VC voltage you calculated and a 1K RC, if pressing SW2 causes the total circuit power to increase to 75mW, what value must RD be? (3pt) EE214 Problem Set 1 2. (20 points) Complete the truth tables below. Provide SOP equations for the bottom three tables. F <= Σ ( ) F <= Σ ( ) F <= Σ ( ) 3. (12 points) Write the number of transistors required for each logic gate below inside the gate symbol, and then write the logic gate name below the symbol. 4. (12 points) Complete truth tables for the circuits shown below A B F AND A B F OR A B F XOR A F INV A B C F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 ? = ? ̅ ∙ ? + ? A B C F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 ? = ? ∙ ? ∙? ̅ + ? ∙ ? A B C F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 ? = ? ∙? ̅+? ̅ ∙ ? A B C F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 A B C F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 A F B C A B C Y EE214 Problem Set 1 5. (18 points) Show the total transistor count and gate/input number for the circuits below. Then sketch equivalent circuits using NAND gates that use fewer transistors (do not minimize the circuits). 6. (12 points) Sketch circuits for the following logic equations F = A̅ ∙ B ∙ C + A ∙B̅ ∙C̅ +A̅ ∙ C F = A̅ ∙ B ∙C̅ ̅̅̅̅̅̅̅̅̅̅ + ̅A̅̅+̅̅̅B̅ F = (? +? ̅ ) ∙ ̅̅?̅̅̅̅̅+̅̅̅̅̅̅̅?̅̅̅∙̅̅?̅̅ G AB C D AB C D H G F F AB C EE214 Problem Set 1 7. (22 points) Sketch a circuit similar to the figure below that asserts logic 1 only when both switches are closed. Label the switches 1 and 2, and complete the truth table below. Then circle the correct term (high or low, and open or closed) to complete the following sentences describing the AND and OR relationships: AND Relationship: The output F is [high / low] when SW1 is [open / closed], and SW2 is [open / closed]. OR Relationship: The output F is [high / low] when SW1 is [open / closed], or SW2 is [open / closed]. Sketch a circuit similar to the figure below that asserts logic 0 whenever one or both switches are closed. Label the switches 1 and 2, and complete the truth table below. Circle the correct term (high or low, and open or closed) to complete the following sentences describing the AND and OR relationships: AND Relationship: The output F is [high / low] when SW1 is [open / closed], and SW2 is [open / closed]. OR Relationship: The output F is [high / low] when SW1 is [open / closed], or SW2 is [open / closed]. 8. (4 points) Complete the following. A pFET turns [ ON / OFF ] with LLV and conducts [ LHV / LLV ] well (circle one in each bracket). An nFET turns [ ON / OFF ] with LLV and conducts [ LHV / LLV ] well (circle one in each bracket). Vdd GND F SW1 SW2 Vdd GND F SW1 SW2 SW1 SW2 F SW1 SW2 F EE214 Problem Set 1 9. (8 points) Sketch circuits and write Verilog assignment statements for the following equations. F = m(1, 2, 6) F = M(0, 7) 10. (21 points) Complete the truth tables below (enter “on” or “off” under each transistor entry, and “1” or “0” for output F), and enter the gate name and schematic shapes in the tables. You get 1/2 point for each correct column, and 1/2 point each for correct names and shapes. Q1 Q2 Q3 Q4 A B F Vdd Q2 Q1 Q3 Q4 A B F Vdd A B Q1 Q2 Q3 Q4 F 0 0 0 1 1 0 1 1 Gate Name AND shape OR shape A B Q1 Q2 Q3 Q4 F 0 0 0 1 1 0 1 1 Gate Name AND shape OR shape EE214 Problem Set 1 Q2 Q1 Q3 Q4 A B F Q5 Q6 Vdd Q1 Q2 Q3 Q4 A B F Q5 Q6 Vdd (2 points) Enter the logic equation for the 3-input circuit above: A B Q1 Q2 Q3 Q4 F 0 0 0 1 1 0 1 1 Gate Name AND shape OR shape A B Q1 Q2 Q3 Q4 F 0 0 0 1 1 0 1 1 Gate Name AND shape OR shape A B C Q1 Q2 Q3 Q4 Q5 Q6 F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 F = Q1 Q2 Q4 Q5 A B F Q6 Vdd C Q3 EE214 Problem Set 1 11. (20 points) In a logic function with n inputs, there are 2? unique combinations of inputs and 22? possible logic functions. The table below has four rows that show the four possible combinations of two inputs (22 = 4), and 16 output columns that show all possible two-input logic function (222 = 16). Six of these output columns are associated with common logic functions of two variables. Circle the six columns, and label them with the appropriate logic gate name. Draw the circuit symbols for the functions represented. INPUTS ALL POSSIBLE FUNCTIONS A B 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 A table like the one above for 3 inputs would need _________ rows and _________ columns. A table like the one above for 4 inputs would need _________ rows and _________ columns. A table like the one above for 5 inputs would need _________ rows and _________ columns. 12. (15 points) Find global minimum circuits for the following three logic signal outputs that are all functions of the same three inputs. Show all work. F1 =  m (0, 3, 4) F2 =  m (1, 6, 7) F3 =  m (0, 1, 3, 4)

EE214 Fall 2015 Problem Set1 I am submitting my own work in this exercise, and I am aware of the penalties for cheating that will be assessed if I submit work for credit that is not my own. Print Name Sign Name Date Contains material © Digilent, Inc. 7 pages 1. (15 points) Below are some circuit elements from a simple digital system. 3.3V 20mA VB 1Kohm VA 1.3V RB 1K RC RD SW1 SW2 RA VC When the pushbutton SW1 is not pressed, what is the voltage at VA? (1pt) When the SW1 is pressed, what is the voltage at VA? (1pt) When the SW1 is pressed, what current flows in the 1K resistor RA? (1pt) When SW1 is pressed, what power is dissipated in RA? (2pt) In the LED circuit, 1.3V is required at VB to forward-bias the LED and cause current to flow. Given there is a 1.3V drop across the LED, what resistance RB is required for 20mA to flow through the LED? (2pt) What power is dissipated in the LED? (1pt) In the circuit on the far right, if RC dissipates 25mW, what is VC? (2pt) Using the VC voltage you calculated, if RC is changed to 100Ohms, how much power would it dissipate? (2pt) Using the VC voltage you calculated and a 1K RC, if pressing SW2 causes the total circuit power to increase to 75mW, what value must RD be? (3pt) EE214 Problem Set 1 2. (20 points) Complete the truth tables below. Provide SOP equations for the bottom three tables. F <= Σ ( ) F <= Σ ( ) F <= Σ ( ) 3. (12 points) Write the number of transistors required for each logic gate below inside the gate symbol, and then write the logic gate name below the symbol. 4. (12 points) Complete truth tables for the circuits shown below A B F AND A B F OR A B F XOR A F INV A B C F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 ? = ? ̅ ∙ ? + ? A B C F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 ? = ? ∙ ? ∙? ̅ + ? ∙ ? A B C F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 ? = ? ∙? ̅+? ̅ ∙ ? A B C F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 A B C F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 A F B C A B C Y EE214 Problem Set 1 5. (18 points) Show the total transistor count and gate/input number for the circuits below. Then sketch equivalent circuits using NAND gates that use fewer transistors (do not minimize the circuits). 6. (12 points) Sketch circuits for the following logic equations F = A̅ ∙ B ∙ C + A ∙B̅ ∙C̅ +A̅ ∙ C F = A̅ ∙ B ∙C̅ ̅̅̅̅̅̅̅̅̅̅ + ̅A̅̅+̅̅̅B̅ F = (? +? ̅ ) ∙ ̅̅?̅̅̅̅̅+̅̅̅̅̅̅̅?̅̅̅∙̅̅?̅̅ G AB C D AB C D H G F F AB C EE214 Problem Set 1 7. (22 points) Sketch a circuit similar to the figure below that asserts logic 1 only when both switches are closed. Label the switches 1 and 2, and complete the truth table below. Then circle the correct term (high or low, and open or closed) to complete the following sentences describing the AND and OR relationships: AND Relationship: The output F is [high / low] when SW1 is [open / closed], and SW2 is [open / closed]. OR Relationship: The output F is [high / low] when SW1 is [open / closed], or SW2 is [open / closed]. Sketch a circuit similar to the figure below that asserts logic 0 whenever one or both switches are closed. Label the switches 1 and 2, and complete the truth table below. Circle the correct term (high or low, and open or closed) to complete the following sentences describing the AND and OR relationships: AND Relationship: The output F is [high / low] when SW1 is [open / closed], and SW2 is [open / closed]. OR Relationship: The output F is [high / low] when SW1 is [open / closed], or SW2 is [open / closed]. 8. (4 points) Complete the following. A pFET turns [ ON / OFF ] with LLV and conducts [ LHV / LLV ] well (circle one in each bracket). An nFET turns [ ON / OFF ] with LLV and conducts [ LHV / LLV ] well (circle one in each bracket). Vdd GND F SW1 SW2 Vdd GND F SW1 SW2 SW1 SW2 F SW1 SW2 F EE214 Problem Set 1 9. (8 points) Sketch circuits and write Verilog assignment statements for the following equations. F = m(1, 2, 6) F = M(0, 7) 10. (21 points) Complete the truth tables below (enter “on” or “off” under each transistor entry, and “1” or “0” for output F), and enter the gate name and schematic shapes in the tables. You get 1/2 point for each correct column, and 1/2 point each for correct names and shapes. Q1 Q2 Q3 Q4 A B F Vdd Q2 Q1 Q3 Q4 A B F Vdd A B Q1 Q2 Q3 Q4 F 0 0 0 1 1 0 1 1 Gate Name AND shape OR shape A B Q1 Q2 Q3 Q4 F 0 0 0 1 1 0 1 1 Gate Name AND shape OR shape EE214 Problem Set 1 Q2 Q1 Q3 Q4 A B F Q5 Q6 Vdd Q1 Q2 Q3 Q4 A B F Q5 Q6 Vdd (2 points) Enter the logic equation for the 3-input circuit above: A B Q1 Q2 Q3 Q4 F 0 0 0 1 1 0 1 1 Gate Name AND shape OR shape A B Q1 Q2 Q3 Q4 F 0 0 0 1 1 0 1 1 Gate Name AND shape OR shape A B C Q1 Q2 Q3 Q4 Q5 Q6 F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 F = Q1 Q2 Q4 Q5 A B F Q6 Vdd C Q3 EE214 Problem Set 1 11. (20 points) In a logic function with n inputs, there are 2? unique combinations of inputs and 22? possible logic functions. The table below has four rows that show the four possible combinations of two inputs (22 = 4), and 16 output columns that show all possible two-input logic function (222 = 16). Six of these output columns are associated with common logic functions of two variables. Circle the six columns, and label them with the appropriate logic gate name. Draw the circuit symbols for the functions represented. INPUTS ALL POSSIBLE FUNCTIONS A B 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 A table like the one above for 3 inputs would need _________ rows and _________ columns. A table like the one above for 4 inputs would need _________ rows and _________ columns. A table like the one above for 5 inputs would need _________ rows and _________ columns. 12. (15 points) Find global minimum circuits for the following three logic signal outputs that are all functions of the same three inputs. Show all work. F1 =  m (0, 3, 4) F2 =  m (1, 6, 7) F3 =  m (0, 1, 3, 4)

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ENG 100 – Critique Assignment Sheet Rough Draft Due for Peer Response: Tuesday, September 29 First Draft Due (submit for feedback): Thursday, October 1 Final Draft with Outline Due: Thursday, October 8 Highlighting, Labeling, and Reflection: Thursday, October 8 Submit hard copies in class and upload to turnitin.com (Password: English, Class ID: 10423941) What is a Critique? A critique is a “formal evaluation [that offers your] judgment of a text—whether the reading was effective, ineffective, valuable, or trivial.” In a critique, “your goal is to convince readers to accept your judgments concerning the quality of the reading” based on specific criteria you have established (Wilhoit 87). Additionally, a critique is comprised of many integrated parts: introduction to the text, introduction to and brief background on the general topic, brief summary properly placed in the essay, a discussion of the criteria chosen for evaluation, a discussion of the criteria using specific examples/information from the text (this discussion should be the largest section of your essay by far!!), instances of personal response, and a conclusion. All of these items should relate to your overall evaluation/thesis of the text. The Assignment: Instead of a written essay, your “text” will be either a movie or a documentary. You will follow the same standards that you would use for a critique based off of an essay but you will adapt the integrated parts to fit a film critique. In order to effectively address this assignment, complete the following steps: STEP I: Choose either a movie or documentary • Base your choice on the strength of your feelings, whether hate, love, respect, etc., because you do not have to like the film in order to write a solid and coherent critique. You might have more to say about a film you dislike. Also choose a genre of film that you understand (i.e. romantic comedy, drama, indie-film, comedy, documentary). • Think about the important components for this specific genre. STEP II: Watch and Annotate the film • Note the major points within the film, how you felt while watching it, and what made you feel that way. • Keep in mind the film’s genre and whether or not your chosen film fits any of those criteria. STEP III: Analyze (break the film into parts) • Break the film down into your genre-driven criteria. • Choose 4-5 criteria and then determine what sections/components of the film either represent effectiveness or ineffectiveness. STEP IV: Evaluate the film (using the criteria and your personal standards) • Evaluate the film according to the criteria list we will generate in class. • To help create your thesis claim, determine whether the film, based on your criteria and standards, is an excellent, mediocre, terrible, etc. representation of your chosen genre. • For example: While the costume and design are fantastic and interesting, the film 300 is a mediocre example of historical drama because the history of Greece and Asia is inaccurate and the female characters are weak. STEP V: Find outside sources—one should agree with you and one should disagree • Check out a review website, such as imdb.com, and locate a few reviews of your film. In your critique, you will be expected to reference other film reviewers to develop and support your own arguments. Please note that those reviews must be cited properly, both in-text citations and the Works Cited page entries. The basic structure of the critique is as follows: • An introduction that o Introduces the film and provides an adequate amount of background information, including the intended audience, to give the reader context (i.e. a cartoon might not be meant for college-age viewers) o Includes a thesis statement that presents the film as either an excellent, mediocre, or terrible representation of your chosen genre o Explains at least three-four different criteria as the basis for your thesis/argument • A summary that is o Brief, neutral and comprehensive o No more than one paragraph in length • Body Paragraphs including o Support of your thesis using specific examples from the film o More than one example to support your argument o Either direct quotes or paraphrased information from the source text, reviews, outside information (websites, blogs, credible sources) or a combination of all three to support your argument • A counter-claim o Based on an outside review/blog/article disagreeing with your opinion or one criteria o Includes either a refutation or concession of the reviewer’s opinion • A conclusion including o A restatement of your main points and thesis o A final recommendation • A Work Cited page that o Includes all referenced materials including the source text The bulk of your critique should consist of your qualified opinion of the film – unlike the summary, your opinion matters here. In the body of your paper, you will need about three to five main points to support your thesis statement. You will develop each of these points in a section of your essay, each section consisting of about three paragraphs. You will make claims in your topic sentences, provide examples from the text, and then explain your reasons, using source support where possible. Evaluation A successful critique will contain all of the following: • Creative and clearly stated criteria • A debatable thesis statement • A brief background and summary of the film • 80% of the essay is located within the body paragraphs • Topic sentences that transition from one criteria to the next • Body paragraphs clearly and accurately reflecting your criteria and opinion • Body paragraphs that include more than one example as support • Conclusion including a summation and thoughtful recommendation • Correct MLA documentation including signal phrases and in-text citations • A Work Cited page including all sources referenced • Correct grammar and mechanics • Effective and meaningful transitions • Meaningful and descriptive word choices • Literary present tense and grammatical 3rd person • Length of 3-5 pages • Follows the basic structure for a critique Possible Points (25 % of final grade): • Outline 5 % • Peer Response Workshop with Rough Draft 5 % • Highlighted Revisions, & Reflection 10 % • Final Draft: 80 % Upload to Turnitin.com, using Password: English and Class ID: 10423941. Your grade will not be finalized until you have done this.

ENG 100 – Critique Assignment Sheet Rough Draft Due for Peer Response: Tuesday, September 29 First Draft Due (submit for feedback): Thursday, October 1 Final Draft with Outline Due: Thursday, October 8 Highlighting, Labeling, and Reflection: Thursday, October 8 Submit hard copies in class and upload to turnitin.com (Password: English, Class ID: 10423941) What is a Critique? A critique is a “formal evaluation [that offers your] judgment of a text—whether the reading was effective, ineffective, valuable, or trivial.” In a critique, “your goal is to convince readers to accept your judgments concerning the quality of the reading” based on specific criteria you have established (Wilhoit 87). Additionally, a critique is comprised of many integrated parts: introduction to the text, introduction to and brief background on the general topic, brief summary properly placed in the essay, a discussion of the criteria chosen for evaluation, a discussion of the criteria using specific examples/information from the text (this discussion should be the largest section of your essay by far!!), instances of personal response, and a conclusion. All of these items should relate to your overall evaluation/thesis of the text. The Assignment: Instead of a written essay, your “text” will be either a movie or a documentary. You will follow the same standards that you would use for a critique based off of an essay but you will adapt the integrated parts to fit a film critique. In order to effectively address this assignment, complete the following steps: STEP I: Choose either a movie or documentary • Base your choice on the strength of your feelings, whether hate, love, respect, etc., because you do not have to like the film in order to write a solid and coherent critique. You might have more to say about a film you dislike. Also choose a genre of film that you understand (i.e. romantic comedy, drama, indie-film, comedy, documentary). • Think about the important components for this specific genre. STEP II: Watch and Annotate the film • Note the major points within the film, how you felt while watching it, and what made you feel that way. • Keep in mind the film’s genre and whether or not your chosen film fits any of those criteria. STEP III: Analyze (break the film into parts) • Break the film down into your genre-driven criteria. • Choose 4-5 criteria and then determine what sections/components of the film either represent effectiveness or ineffectiveness. STEP IV: Evaluate the film (using the criteria and your personal standards) • Evaluate the film according to the criteria list we will generate in class. • To help create your thesis claim, determine whether the film, based on your criteria and standards, is an excellent, mediocre, terrible, etc. representation of your chosen genre. • For example: While the costume and design are fantastic and interesting, the film 300 is a mediocre example of historical drama because the history of Greece and Asia is inaccurate and the female characters are weak. STEP V: Find outside sources—one should agree with you and one should disagree • Check out a review website, such as imdb.com, and locate a few reviews of your film. In your critique, you will be expected to reference other film reviewers to develop and support your own arguments. Please note that those reviews must be cited properly, both in-text citations and the Works Cited page entries. The basic structure of the critique is as follows: • An introduction that o Introduces the film and provides an adequate amount of background information, including the intended audience, to give the reader context (i.e. a cartoon might not be meant for college-age viewers) o Includes a thesis statement that presents the film as either an excellent, mediocre, or terrible representation of your chosen genre o Explains at least three-four different criteria as the basis for your thesis/argument • A summary that is o Brief, neutral and comprehensive o No more than one paragraph in length • Body Paragraphs including o Support of your thesis using specific examples from the film o More than one example to support your argument o Either direct quotes or paraphrased information from the source text, reviews, outside information (websites, blogs, credible sources) or a combination of all three to support your argument • A counter-claim o Based on an outside review/blog/article disagreeing with your opinion or one criteria o Includes either a refutation or concession of the reviewer’s opinion • A conclusion including o A restatement of your main points and thesis o A final recommendation • A Work Cited page that o Includes all referenced materials including the source text The bulk of your critique should consist of your qualified opinion of the film – unlike the summary, your opinion matters here. In the body of your paper, you will need about three to five main points to support your thesis statement. You will develop each of these points in a section of your essay, each section consisting of about three paragraphs. You will make claims in your topic sentences, provide examples from the text, and then explain your reasons, using source support where possible. Evaluation A successful critique will contain all of the following: • Creative and clearly stated criteria • A debatable thesis statement • A brief background and summary of the film • 80% of the essay is located within the body paragraphs • Topic sentences that transition from one criteria to the next • Body paragraphs clearly and accurately reflecting your criteria and opinion • Body paragraphs that include more than one example as support • Conclusion including a summation and thoughtful recommendation • Correct MLA documentation including signal phrases and in-text citations • A Work Cited page including all sources referenced • Correct grammar and mechanics • Effective and meaningful transitions • Meaningful and descriptive word choices • Literary present tense and grammatical 3rd person • Length of 3-5 pages • Follows the basic structure for a critique Possible Points (25 % of final grade): • Outline 5 % • Peer Response Workshop with Rough Draft 5 % • Highlighted Revisions, & Reflection 10 % • Final Draft: 80 % Upload to Turnitin.com, using Password: English and Class ID: 10423941. Your grade will not be finalized until you have done this.

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How fast a person can type or play the piano is ultimately limited by the number of impulses a person can send to their finger muscles per second. This in turn is limited by Select one: primarily the type of muscle. whether the signal is pain, sound, motor, etc. the magnitude or strength of the nerve impulse. the number of neurons and synapses involved. the speed with which sodium ion can be pumped back outside the neuron membrane.

How fast a person can type or play the piano is ultimately limited by the number of impulses a person can send to their finger muscles per second. This in turn is limited by Select one: primarily the type of muscle. whether the signal is pain, sound, motor, etc. the magnitude or strength of the nerve impulse. the number of neurons and synapses involved. the speed with which sodium ion can be pumped back outside the neuron membrane.

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An FM radio-station located at Pasadena College with call id KPCC 89.3 broadcasts at carrier frequency of 89.3 MHz. What is the wavelength of the carrier signal of the station? A. 214 cm B. 753 cm C. 0.14 cm D. 336 cm + E. 154 cm

An FM radio-station located at Pasadena College with call id KPCC 89.3 broadcasts at carrier frequency of 89.3 MHz. What is the wavelength of the carrier signal of the station? A. 214 cm B. 753 cm C. 0.14 cm D. 336 cm + E. 154 cm

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ELEC153 Circuit Theory II M2A1 Textbook Assignment: Problem Set A: Chapter 15 Instructions Save this document and place your answers into it so you can submit it to the appropriate homework dropbox. Handwritten solutions should be scanned and saved as a BMP, GIF, or JPG image, or scanned and pasted into this document. Questions 1. Find the impedance of this AC series circuit as seen from the two open-ended terminals. Show your answer in rectangular and polar form. The AC signal frequency is 1 KHz. 2. Repeat your analysis of Question 1 for a frequency of 200 Hz. 3. Consider the following AC series circuit: a. Find the total impedance across the voltage source in polar form. b. Find the source current, in polar form. Note: the source voltage is 20 volts rms at 0 degrees. c. Find the voltage across each component, in polar form. d. Find the real power supplied to the circuit, in Watts. ELEC153 Circuit Theory II M2A2 Textbook Assignment: Problem Set B: Chapter 15 Instructions Save this document and place your answers into it so you can submit it to the appropriate homework dropbox. Handwritten solutions should be scanned and saved as a BMP, GIF, or JPG image, or scanned and pasted into this document. Questions 1. Find the impedance of this AC parallel circuit between the two open-ended terminals, in rectangular and polar forms: 2. Consider the following AC parallel circuit: a. Find the total impedance across the voltage source in polar form. b. Find the source current, in polar form. Note: the source voltage is 12 volts rms at 0 degrees. c. Find the current through each component, in polar form. d. Find the real power supplied to the circuit, in Watts.

ELEC153 Circuit Theory II M2A1 Textbook Assignment: Problem Set A: Chapter 15 Instructions Save this document and place your answers into it so you can submit it to the appropriate homework dropbox. Handwritten solutions should be scanned and saved as a BMP, GIF, or JPG image, or scanned and pasted into this document. Questions 1. Find the impedance of this AC series circuit as seen from the two open-ended terminals. Show your answer in rectangular and polar form. The AC signal frequency is 1 KHz. 2. Repeat your analysis of Question 1 for a frequency of 200 Hz. 3. Consider the following AC series circuit: a. Find the total impedance across the voltage source in polar form. b. Find the source current, in polar form. Note: the source voltage is 20 volts rms at 0 degrees. c. Find the voltage across each component, in polar form. d. Find the real power supplied to the circuit, in Watts. ELEC153 Circuit Theory II M2A2 Textbook Assignment: Problem Set B: Chapter 15 Instructions Save this document and place your answers into it so you can submit it to the appropriate homework dropbox. Handwritten solutions should be scanned and saved as a BMP, GIF, or JPG image, or scanned and pasted into this document. Questions 1. Find the impedance of this AC parallel circuit between the two open-ended terminals, in rectangular and polar forms: 2. Consider the following AC parallel circuit: a. Find the total impedance across the voltage source in polar form. b. Find the source current, in polar form. Note: the source voltage is 12 volts rms at 0 degrees. c. Find the current through each component, in polar form. d. Find the real power supplied to the circuit, in Watts.

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Develop a 4 page-500 word précis on Chapter 7 “How to Monitor & Control a TPM Project” of the Wysocki 7th Ed. text.”

Develop a 4 page-500 word précis on Chapter 7 “How to Monitor & Control a TPM Project” of the Wysocki 7th Ed. text.”

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MAE 384. Advanced Mathematical Methods for Engineers. The army is interested in characterizing the acoustic signature of a helicopter. The following data show measurements of acoustic pressure (made dimensionless) for a two-bladed helicopter rotor through 1 2 of a rotor revolution. The data points are equally spaced in time, and the period of the data collection is 1 6 of a second. p0 = [ 0 0.0004 0.0015 0.0028 0.0040 0.0048 0.0057 0.0071 0.0095 0.0134 . . . 0.0185 0.0242 0.0302 0.0364 0.0447 0.0577 0.0776 0.0955 0.0907 -0.0477 . . . -0.0812 -0.0563 -0.0329 -0.0127 0.0032 0.0147 0.0221 0.0256 0.0255 0.0222 . . . 0.0170 0.0112 0.0064 0.0035 0.0023 0.0020 0.0019 0.0016 0.0009 0.0002 ] (a) Find the real Discrete Fourier Transform for this data set. That is, …nd the Fourier coe¢ cients (the Ak’s and Bk’s). (b) Any term in the Fourier series can be written: Ak cos(k!t) + Bk sin(k!t) = Ck cos(k!t + k) where Ck = q A2 k + B2 k and k = tan?1 ?Bk Ak Find the Ck’s and plot their amplitude vs. k to illustrate the relative size of each term in the series. (The amplitude should drop of with increasing k.) (c) Plot the function (Fourier series) and the original data on the same plot. (d) The actual loudness of the helicopter depends on the maximum peak-to-peak amplitude of the signal. Find the peak-to-peak amplitude by …nding the maximum and minimum values of p0 as predicted by the Fourier series solution. Recall that a function has a maximum or a minimum when its derivative equals zero. (e) Extra Credit. Try …nding Ak’s and Bk’s for k > N 2 (where N = the number of data points). Show that the resulting series does not represent the data.

MAE 384. Advanced Mathematical Methods for Engineers. The army is interested in characterizing the acoustic signature of a helicopter. The following data show measurements of acoustic pressure (made dimensionless) for a two-bladed helicopter rotor through 1 2 of a rotor revolution. The data points are equally spaced in time, and the period of the data collection is 1 6 of a second. p0 = [ 0 0.0004 0.0015 0.0028 0.0040 0.0048 0.0057 0.0071 0.0095 0.0134 . . . 0.0185 0.0242 0.0302 0.0364 0.0447 0.0577 0.0776 0.0955 0.0907 -0.0477 . . . -0.0812 -0.0563 -0.0329 -0.0127 0.0032 0.0147 0.0221 0.0256 0.0255 0.0222 . . . 0.0170 0.0112 0.0064 0.0035 0.0023 0.0020 0.0019 0.0016 0.0009 0.0002 ] (a) Find the real Discrete Fourier Transform for this data set. That is, …nd the Fourier coe¢ cients (the Ak’s and Bk’s). (b) Any term in the Fourier series can be written: Ak cos(k!t) + Bk sin(k!t) = Ck cos(k!t + k) where Ck = q A2 k + B2 k and k = tan?1 ?Bk Ak Find the Ck’s and plot their amplitude vs. k to illustrate the relative size of each term in the series. (The amplitude should drop of with increasing k.) (c) Plot the function (Fourier series) and the original data on the same plot. (d) The actual loudness of the helicopter depends on the maximum peak-to-peak amplitude of the signal. Find the peak-to-peak amplitude by …nding the maximum and minimum values of p0 as predicted by the Fourier series solution. Recall that a function has a maximum or a minimum when its derivative equals zero. (e) Extra Credit. Try …nding Ak’s and Bk’s for k > N 2 (where N = the number of data points). Show that the resulting series does not represent the data.

clear all; clc; period = 1/6; p = [0       0.0004 … Read More...
Using the average won’t work very well. We use some other values. We use Peak to Peak voltage, Vpp, Peak Voltage, Vp, and we use RMS voltage. We will discuss RMS voltage in more detail in class. What is the peak voltage and peak to peak voltage for the signal shown above?

Using the average won’t work very well. We use some other values. We use Peak to Peak voltage, Vpp, Peak Voltage, Vp, and we use RMS voltage. We will discuss RMS voltage in more detail in class. What is the peak voltage and peak to peak voltage for the signal shown above?

Peak voltage: +1 volt Peak to peak voltage = 2 … Read More...
Doppler Shift 73 Because of the Doppler Effect, light emitted by an object can appear to change wavelength due to its motion toward or away from an observer. When the observer and the source of light are moving toward each other, the light is shifted to shorter wavelengths (blueshifted). When the observer and the source of light are moving away from each other, the light is shifted to longer wavelengths (redshifted). Part I: Motion of Source Star is not . rnovrng r ABCD 1) Consider the situations shown (A—D). a) In which situation will the observer receive light that is shifted to shorter wavelengths? b) Will this light be blueshifted or redshifted for this case? c) What direction is the star moving relative to the observer for this case? 2) Consider the situations shown (A—D). a) In which situation will the observer receive light that is shifted to longer wavelengths? b) Will this light be blueshifted or redshifted for this case? c) What direction is the star moving relative to the observer for this case? . 74 Doppler Shift 3) In which of the srtuations shown (A—D) will theobserver receive light that Is not Doppler Shifted at all? Explain your reasoning. – 4) Imagine our solar system Is moving In the Milky Way toward a group of three stars. Star A is a blue star that is slightly closer to us than the other two. Star B is a red star that is farthest away from us. Star C is a yellow star that is halfway between Stars A end B. a) Which of these three stars, if any, will give off light that appears to be blueshifted? Explain your reasoning. . / b) Which of these three stars, if any, will give off light that appears to be redshifted? Explain your reasoning. c) Which of these three stars, if any, will give off light that appears to have no shift? Explain your reasoning. — 5) You overhear two students discussing the topic of Doppler Shift. Student 1: Since Betelgeuse is a red star, it must be going away from us, and since Rigel is a blue star it must be coming toward us. Student 2: 1 disagree, the color of the star does not tell you if it is moving. You have to look at the shift in wavelength of the lines in the star’s absorption spectrum to determine whether it’s moving toward or away from you. Do you agree or disagree with either or both of the students? Explain your reasoning. 5 Part II: Shift in Absorption Spectra When we study an astronomical object like a star or galaxy, we examine the spectrum of light it gives off. Since the lines of a spectrum occur at specific wavelengths we can determine that an object is moving when we see that the lines have been shifted to either longer or shorter wavelengths. For the absorption line spectra shown on the next page, short-wavelength light (the blue end of the spectrum) is shown on the left-hand side and long-wavelength light (the red end of the spectrum) is shown on the right-hand side. Doppler Shift 75 For the three absorption line spectra shown below (A, B, and C), one of the spectra corresponds to a star that is not moving relative to you, one of the spectra is from a star that is moving toward you, and one of the spectra is from a star that is moving away from you. A B Blue J___ ..‘ C 6) Which of the three spectra above corresponds with the star moving toward you? Explain your reasoning. If two sources of llght are moving relative to an observer, the light from the star that is moving faster will appear to undergo a greater Doppler Consider the four spectra at the right. The spectrum labeled F is an absorption line spectrum from a star that is at rest. Again, note that short-wavelength (blue) light is shown on the left-hand side of each spectrum and long-wavelength (red) light is shown on the right-hand side of each spectrum. 7) Which of the three spectra corresponds with the star moving away from you? Explain your reasoning. Part 111: Size of Shift and Speed Blue Red . – 76 Doppler Shift 8) Which of the four spectra would be from the star that is moving the fastest? Would this star be moving toward or away from the observer? 9) Of the stars that are moving, which spectra would be from the star that is moving the slowest? Describe the motion of this star, – (fJ 1O)An Important line In the absorption spectrum of stars occurs at a wavelength of 656 nm for stars at rest. Irna me that you observe five stars (H—L) from Earth and discover that this Important absorption line Is measured at the wavelength shown in the table below for each of the five stars, Star Wavelength of Absorption Line H 649nm I 660 nm J 656nrn K 658nrn L 647nm a) Which of the stars are gMng off light that appears blueshifted? Explain your reasoning. b) Which of the stars are gMng off light that appears redshifted? Explain your reasoning. d) Which star is moving the fastest? Is it moving toward or away from the observer? Explain your reasoning. , . . c) Which star is giving off light that appears shifted by the greatest amount? Is this light shifted to longer or shorter wavelengths? Explain your reasoning. a) Which planets will receive a radio signal that Is redshifted? Explain your reasoning. b) Which planets wfll receive a radio signal that is shifted to shorter wavelengths? Explain your reasoning. a a . ii) The figure at right shows a spaceprobe and five planets. The motion of the spaceprobe is indicated by the arrow. The spaceprobe is continuously broadcasting a radio signal in all directions. 4 C E not to scale c) Will all the planets receive radio signals from the spaceprobe that are Doppler shifted? Explain your reasoning. d) How will the size of the Doppler Shift in the radio signals detected at Planets A and B compare? Explain your reasoning. Cats r , ‘, e) How Will the slz of 1h Dupler Shift in the radio signals deteed °lane E and B compare? Explain your reasoning. ‘

Doppler Shift 73 Because of the Doppler Effect, light emitted by an object can appear to change wavelength due to its motion toward or away from an observer. When the observer and the source of light are moving toward each other, the light is shifted to shorter wavelengths (blueshifted). When the observer and the source of light are moving away from each other, the light is shifted to longer wavelengths (redshifted). Part I: Motion of Source Star is not . rnovrng r ABCD 1) Consider the situations shown (A—D). a) In which situation will the observer receive light that is shifted to shorter wavelengths? b) Will this light be blueshifted or redshifted for this case? c) What direction is the star moving relative to the observer for this case? 2) Consider the situations shown (A—D). a) In which situation will the observer receive light that is shifted to longer wavelengths? b) Will this light be blueshifted or redshifted for this case? c) What direction is the star moving relative to the observer for this case? . 74 Doppler Shift 3) In which of the srtuations shown (A—D) will theobserver receive light that Is not Doppler Shifted at all? Explain your reasoning. – 4) Imagine our solar system Is moving In the Milky Way toward a group of three stars. Star A is a blue star that is slightly closer to us than the other two. Star B is a red star that is farthest away from us. Star C is a yellow star that is halfway between Stars A end B. a) Which of these three stars, if any, will give off light that appears to be blueshifted? Explain your reasoning. . / b) Which of these three stars, if any, will give off light that appears to be redshifted? Explain your reasoning. c) Which of these three stars, if any, will give off light that appears to have no shift? Explain your reasoning. — 5) You overhear two students discussing the topic of Doppler Shift. Student 1: Since Betelgeuse is a red star, it must be going away from us, and since Rigel is a blue star it must be coming toward us. Student 2: 1 disagree, the color of the star does not tell you if it is moving. You have to look at the shift in wavelength of the lines in the star’s absorption spectrum to determine whether it’s moving toward or away from you. Do you agree or disagree with either or both of the students? Explain your reasoning. 5 Part II: Shift in Absorption Spectra When we study an astronomical object like a star or galaxy, we examine the spectrum of light it gives off. Since the lines of a spectrum occur at specific wavelengths we can determine that an object is moving when we see that the lines have been shifted to either longer or shorter wavelengths. For the absorption line spectra shown on the next page, short-wavelength light (the blue end of the spectrum) is shown on the left-hand side and long-wavelength light (the red end of the spectrum) is shown on the right-hand side. Doppler Shift 75 For the three absorption line spectra shown below (A, B, and C), one of the spectra corresponds to a star that is not moving relative to you, one of the spectra is from a star that is moving toward you, and one of the spectra is from a star that is moving away from you. A B Blue J___ ..‘ C 6) Which of the three spectra above corresponds with the star moving toward you? Explain your reasoning. If two sources of llght are moving relative to an observer, the light from the star that is moving faster will appear to undergo a greater Doppler Consider the four spectra at the right. The spectrum labeled F is an absorption line spectrum from a star that is at rest. Again, note that short-wavelength (blue) light is shown on the left-hand side of each spectrum and long-wavelength (red) light is shown on the right-hand side of each spectrum. 7) Which of the three spectra corresponds with the star moving away from you? Explain your reasoning. Part 111: Size of Shift and Speed Blue Red . – 76 Doppler Shift 8) Which of the four spectra would be from the star that is moving the fastest? Would this star be moving toward or away from the observer? 9) Of the stars that are moving, which spectra would be from the star that is moving the slowest? Describe the motion of this star, – (fJ 1O)An Important line In the absorption spectrum of stars occurs at a wavelength of 656 nm for stars at rest. Irna me that you observe five stars (H—L) from Earth and discover that this Important absorption line Is measured at the wavelength shown in the table below for each of the five stars, Star Wavelength of Absorption Line H 649nm I 660 nm J 656nrn K 658nrn L 647nm a) Which of the stars are gMng off light that appears blueshifted? Explain your reasoning. b) Which of the stars are gMng off light that appears redshifted? Explain your reasoning. d) Which star is moving the fastest? Is it moving toward or away from the observer? Explain your reasoning. , . . c) Which star is giving off light that appears shifted by the greatest amount? Is this light shifted to longer or shorter wavelengths? Explain your reasoning. a) Which planets will receive a radio signal that Is redshifted? Explain your reasoning. b) Which planets wfll receive a radio signal that is shifted to shorter wavelengths? Explain your reasoning. a a . ii) The figure at right shows a spaceprobe and five planets. The motion of the spaceprobe is indicated by the arrow. The spaceprobe is continuously broadcasting a radio signal in all directions. 4 C E not to scale c) Will all the planets receive radio signals from the spaceprobe that are Doppler shifted? Explain your reasoning. d) How will the size of the Doppler Shift in the radio signals detected at Planets A and B compare? Explain your reasoning. Cats r , ‘, e) How Will the slz of 1h Dupler Shift in the radio signals deteed °lane E and B compare? Explain your reasoning. ‘

  ANSWERS Part 1 1 C is the answer because … Read More...