The internal resistance r of a battery with emf E is connected to a load resistor with resistance R. I 10 V A 18 B 122 internal resistance Find the potential difference VBA = VA − VB.

## The internal resistance r of a battery with emf E is connected to a load resistor with resistance R. I 10 V A 18 B 122 internal resistance Find the potential difference VBA = VA − VB.

Design a regulated power supply able to supply a maximum load current of 25 mA. Your design specifications are: DC Output: 12 V Load Variation: 0.5 – 2 kilo Ohms Ripple factor < 0.1% for 1 kilo ohm load Load Regulation: Better than 1mV/mA Line Regulation: Better than 2mV/V In your design use diodes 1N4001 and Zener 1N4742. In your design you must mention the values of the resistors, capacitors, transformer turns ratio. Typed report must contain the following in the same order: • Final design with all component values • SPICE simulation results supporting the validity of your design satisfying the specifications. • Discuss your approach to satisfy the specifications. Explain which specifications you met and which you did not meet. Provide discussion and conclusions and comments.

## Design a regulated power supply able to supply a maximum load current of 25 mA. Your design specifications are: DC Output: 12 V Load Variation: 0.5 – 2 kilo Ohms Ripple factor < 0.1% for 1 kilo ohm load Load Regulation: Better than 1mV/mA Line Regulation: Better than 2mV/V In your design use diodes 1N4001 and Zener 1N4742. In your design you must mention the values of the resistors, capacitors, transformer turns ratio. Typed report must contain the following in the same order: • Final design with all component values • SPICE simulation results supporting the validity of your design satisfying the specifications. • Discuss your approach to satisfy the specifications. Explain which specifications you met and which you did not meet. Provide discussion and conclusions and comments.

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Operational amplifiers are often used to amplify a sensor output. This problem will walk you through the design of a simple temperature measuring device based on a platinum wire sensor. Goal: Build a circuit that will provide a calibrated output between .32V and 2.12V for temperatures sensed between 0°C and 100°C. (The final circuit can be seen at the end of this homework but we will work out each stage in turn.) The platinum wire sensor has a resistance of 100Ω at 0°C and 138.5Ω at 100°C, or a change of 0.385Ω/°C. (The arrow through the resistor in the circuit indicates it is a variable resistor.) A 0.5mA source is used to excite the platinum wire resistor to obtain a voltage. The first stage of our circuit will be to buffer the output of the sensor so we do not load the sensor circuit by drawing off any of the .5mA current to the op amp. A. (10 points) What is V1 when the temperature is 0°C, 1°C, 20°C and 100°C? (Use at least four decimal points.) B. (10 points)The output voltage of the resistor changes by I*ΔRT where I =0.5mA and ΔRT = 0.385Ω/°C. It is too small, so we need amplify this so the V2 output in the second stage of this circuit will be 5mV per degree using a non-inverting amplifier. So we want 5mV = (I*ΔRT * gain) per degree centigrade. What is the required gain for this circuit? Choose values of R1 and R2 between 1k and 100kΩ to achieve this. Choose Rin to be 1K-10kΩ. C. (10 points) What is V2 for a temperature of 0°C and for 1°C. What is the difference between the two voltages? (Hint: The difference should be exactly 5mV! The resistance of the platinum wire will be 100.385Ω @ 1°C.) D. (10 extra credit points) We would like for the output voltage, V2, to be 0V when the temperature is 0°C. This can be done by adding a third stage with an offset voltage in the circuit below. Find Voffset so that VC = 0V when the temperature is 0°C. Let R3 =R4 = R5 and pick appropriate values of the resistors between 1k and 10kΩ. (Hint: V2= the voltage when the temperature is 0°C you found in part C. Find Voffset so that Vc =0V. Superposition may a good technique to use here. You can analyze the circuit when V2=0 and the offset is activated and then you can analyze the circuit when V2 = the value from part C and the offset voltage is zero.) What is Voffset? What values did you chose for the resistors? What is VC when the temperature is is 0°C, 1°C, 20°C and 100°C? E. The voltage VC should now be 0V when the temperature is 0°C and increase by 10mV for every degree centigrade. We need to multiply this by 1.8, the factor to convert a degree Centigrade to a degree Fahrenheit. The output of this stage, V4, should range from 0V to 1.80V and then we will add an offset to change the VF output range to 0.32V to 2.12V in the last stage. The following circuit can be used. Note that this circuit uses inverting amplifiers instead of non-inverting amplifiers. (10 extra credit points) Find the correct resistor values for R7, R8 so that V4 will range between 0V to -1.80V when the temperature is sensed between 0°C and 100°C. (10 extra credit points) Find Voffset2 and then determine VF at 0°C, 1°C, 20°C and 100°C so the VF will range from 0.32V to 2.12V. (Hint: When VC = 0V at 0°C, the V4 output of this stage will also be 0V. Determine the offset voltage so VF = 0.32V. Choose R9 = R10 = R11 = 1kΩ, so at 0°C, VF = 0.32V = VR10 with the current going from the output back through R10 to zero volts, then down through R11 and the Voffset2 source. Since VR10=VR11=0.32V, determine Voffset2. When the temperature is 100°C the output should be 2.12V.)

## Operational amplifiers are often used to amplify a sensor output. This problem will walk you through the design of a simple temperature measuring device based on a platinum wire sensor. Goal: Build a circuit that will provide a calibrated output between .32V and 2.12V for temperatures sensed between 0°C and 100°C. (The final circuit can be seen at the end of this homework but we will work out each stage in turn.) The platinum wire sensor has a resistance of 100Ω at 0°C and 138.5Ω at 100°C, or a change of 0.385Ω/°C. (The arrow through the resistor in the circuit indicates it is a variable resistor.) A 0.5mA source is used to excite the platinum wire resistor to obtain a voltage. The first stage of our circuit will be to buffer the output of the sensor so we do not load the sensor circuit by drawing off any of the .5mA current to the op amp. A. (10 points) What is V1 when the temperature is 0°C, 1°C, 20°C and 100°C? (Use at least four decimal points.) B. (10 points)The output voltage of the resistor changes by I*ΔRT where I =0.5mA and ΔRT = 0.385Ω/°C. It is too small, so we need amplify this so the V2 output in the second stage of this circuit will be 5mV per degree using a non-inverting amplifier. So we want 5mV = (I*ΔRT * gain) per degree centigrade. What is the required gain for this circuit? Choose values of R1 and R2 between 1k and 100kΩ to achieve this. Choose Rin to be 1K-10kΩ. C. (10 points) What is V2 for a temperature of 0°C and for 1°C. What is the difference between the two voltages? (Hint: The difference should be exactly 5mV! The resistance of the platinum wire will be 100.385Ω @ 1°C.) D. (10 extra credit points) We would like for the output voltage, V2, to be 0V when the temperature is 0°C. This can be done by adding a third stage with an offset voltage in the circuit below. Find Voffset so that VC = 0V when the temperature is 0°C. Let R3 =R4 = R5 and pick appropriate values of the resistors between 1k and 10kΩ. (Hint: V2= the voltage when the temperature is 0°C you found in part C. Find Voffset so that Vc =0V. Superposition may a good technique to use here. You can analyze the circuit when V2=0 and the offset is activated and then you can analyze the circuit when V2 = the value from part C and the offset voltage is zero.) What is Voffset? What values did you chose for the resistors? What is VC when the temperature is is 0°C, 1°C, 20°C and 100°C? E. The voltage VC should now be 0V when the temperature is 0°C and increase by 10mV for every degree centigrade. We need to multiply this by 1.8, the factor to convert a degree Centigrade to a degree Fahrenheit. The output of this stage, V4, should range from 0V to 1.80V and then we will add an offset to change the VF output range to 0.32V to 2.12V in the last stage. The following circuit can be used. Note that this circuit uses inverting amplifiers instead of non-inverting amplifiers. (10 extra credit points) Find the correct resistor values for R7, R8 so that V4 will range between 0V to -1.80V when the temperature is sensed between 0°C and 100°C. (10 extra credit points) Find Voffset2 and then determine VF at 0°C, 1°C, 20°C and 100°C so the VF will range from 0.32V to 2.12V. (Hint: When VC = 0V at 0°C, the V4 output of this stage will also be 0V. Determine the offset voltage so VF = 0.32V. Choose R9 = R10 = R11 = 1kΩ, so at 0°C, VF = 0.32V = VR10 with the current going from the output back through R10 to zero volts, then down through R11 and the Voffset2 source. Since VR10=VR11=0.32V, determine Voffset2. When the temperature is 100°C the output should be 2.12V.)

A) At 0 deg C —> R =100 Ohm, I … Read More...
Find Vo in the circuit shown given that V1 = 4V, V2 = 6V, V3 = 8V, V4 = 3V, R1 = 16kW, R2 = 128kW, R3 = 12kW, R4 = 33kW, R5 = 36kW, and R6 = 38kW. The voltage at the inverting terminal of the op amp, Vx, = V The current I2 = mA Vo = V The load current, IL = mA The output current, Io = mA

## Find Vo in the circuit shown given that V1 = 4V, V2 = 6V, V3 = 8V, V4 = 3V, R1 = 16kW, R2 = 128kW, R3 = 12kW, R4 = 33kW, R5 = 36kW, and R6 = 38kW. The voltage at the inverting terminal of the op amp, Vx, = V The current I2 = mA Vo = V The load current, IL = mA The output current, Io = mA

Correct Answers:  3  -0.104166666666667  16.3333333333333  0.429824561403509 … Read More...
Consider a cylindrical specimen of a steel alloy (Figure 6.22) 8.5 mm (0.33 in.) in diameter and 80 mm (3.15 in.) long that is pulled in tension. Determine its elongation when a load of 65,250 N (14,500 lbf) is applied.

## Consider a cylindrical specimen of a steel alloy (Figure 6.22) 8.5 mm (0.33 in.) in diameter and 80 mm (3.15 in.) long that is pulled in tension. Determine its elongation when a load of 65,250 N (14,500 lbf) is applied.

(Nilsson & Riedel, p. 391, 10.34.) A group of small appliances on a 60Hz system requires 20kVA at 0.85 lagging pf when operated at 125 VRMS. The impedance of the line supplying the appliances is 0.01 +j0.08 Ω. The voltage at the load end of the line is 125VRMS. a) What is the RMS magnitude of the voltage at the Source? b) What is the average power loss in the line, PLINE? c) What size of capacitor in μF across the load end of the feeder is needed to change the load pf to 1. d) After the capacitor is installed, what is VRMS at the source, if the load voltage is maintained at 125VRMS? e) What is the average power loss in the line, PLINE with the capacitor installed

## (Nilsson & Riedel, p. 391, 10.34.) A group of small appliances on a 60Hz system requires 20kVA at 0.85 lagging pf when operated at 125 VRMS. The impedance of the line supplying the appliances is 0.01 +j0.08 Ω. The voltage at the load end of the line is 125VRMS. a) What is the RMS magnitude of the voltage at the Source? b) What is the average power loss in the line, PLINE? c) What size of capacitor in μF across the load end of the feeder is needed to change the load pf to 1. d) After the capacitor is installed, what is VRMS at the source, if the load voltage is maintained at 125VRMS? e) What is the average power loss in the line, PLINE with the capacitor installed

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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6. (20 pts) (Nilsson & Riedel, p. 391, 10.34.) A group of small appliances on a 60Hz system requires 20kVA at 0.85 lagging pf when operated at 125 VRMS. The impedance of the line supplying the appliances is 0.01 +j0.08 Ω. The voltage at the load end of the line is 125VRMS. a) What is the RMS magnitude of the voltage at the Source? b) What is the average power loss in the line, PLINE? c) What size of capacitor in μF across the load end of the feeder is needed to change the load pf to 1. d) After the capacitor is installed, what is VRMS at the source, if the load voltage is maintained at 125VRMS? e) What is the average power loss in the line, PLINE with the capacitor installed?