For the particular lowpass filter you constructed in lab (f3dB ~ 1 kHz) plot |H(f)| over the frequency range (0, 100 kHz) on a semilogarithmic scale for the frequency, and use a linear scale in dB for the vertical axis. To calculate|H(f)| simply solve for the output voltage in terms of the input voltage—it should be a simple voltage divider using the impedances of the capacitor and resistor. using MatLab
R = 50
L= 0.1
C = 1X10^6
Homework Answers
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For the particular lowpass filter you constructed in lab (f3dB ~
1 kHz) plot |H(f)| over...
A) Design a low-pass filter using the given circuitry with a cut-off value of 1 kHz and plot the ...
a) Design a low-pass filter using the given circuitry with a cut-off value of 1 kHz and plot the frequency response curve on the given axes 1.0 0.7 0.5 in out 0.0 101 102 103 104 10s Hz b) Design a band-pass filter using the given circuitry with a bandwidth of 500 Hz and a lower cut-off value of 100 Hz, and draw the frequency response curve. Keep all resistors at the same value (i.e. Ri-R-R3-R4). 1.0 0.7 0.5 0.0...
Simulation For each filter mentioned in the following cases, first simulate the circuit using Multisim. You can get a plot of the transfer function that is called the Bode plot. From the right toolba...
Simulation For each filter mentioned in the following cases, first simulate the circuit using Multisim. You can get a plot of the transfer function that is called the Bode plot. From the right toolbar, select "Bode Plotter". Change initial (I) and final (F) frequencies to 1Hz and 200 KHz, respectively. Use a Voltage AC source as the input signal. You do not need to change any parameter from voltage AC source. Connect "Bode Plotter" to input and output of your...
For each filter mentioned in the following cases, first simulate the circuit using Multisim. You can get a plot of the transfer function that is called the Bode plot. From the right toolbar, select &...
For each filter mentioned in the following cases, first simulate the circuit using Multisim. You can get a plot of the transfer function that is called the Bode plot. From the right toolbar, select "Bode Plotter". Change initial (I) and final (F frequencies to 1Hz and 200 KHz, respectively. Use a Voltage AC source as the input signal. You do not need to change any parameter from voltage AC source Connect "Bode Plotter" to input and output of your circuit...
1. In this class and in other physics lab classes you will often use oscilloscopes to...
1. In this class and in other physics lab classes you will often use oscilloscopes to look at signal that change in time. Below is a sinusoidal AC signal on an oscilloscope screen. The vertical axis is set to 10 mV/division and the horizontal axis is set to 50 ms/division For the signal shown, what is the: a. Average voltage? b. Peak voltage? c. Peak-to-peak voltage? d. RMS voltage? e. Period? f. Frequency? g. If you were to write an...
4. An electrical filter circuit is built with a series resistor (R), inductor (L) and capacitor...
4. An electrical filter circuit is built with a series resistor (R), inductor (L) and capacitor (C). The ratio of resistor voltage (output) to source voltage (input) is given by H is the magnitude of a complex number, where ZL=JwL ZC = 1 / (j w C) andjsVT (same as 1) w frequency (radians/sec) 2 f,where f is frequency in Hz. For each exercise, assign the values of R, L and C and set the recommended frequency range. Then have...
Scale the bandpass filter in (Figure 1) so that the center frequency is 180 kHz and...
Scale the bandpass filter in (Figure 1) so that the center frequency is 180 kHz and the quality factor is 8, using a 2.5 nF capacitor. Figure < 1 of 1 > 8k 310 mH 10 nF Part A Determine the value of the resistor of the scaled filter Express your answer to three significant figures and include the appropriate units. R = Value Units Submit Request Answer Part B Determine the value of the inductor of the scaled filter...
Prelab 10.1: Active lowpass filter Given the circuit shown in Figure 10.1 with Ri-R2-Rs-R4-R-1.0 [k2, and...
Prelab 10.1: Active lowpass filter Given the circuit shown in Figure 10.1 with Ri-R2-Rs-R4-R-1.0 [k2, and C 0.1 [uF (a) Represent the circuit in state-space form given by i(t) = ar(t) + bu(t), i.e., find the values of parameters a, b, c, and d. (b) Find the expression for the transfer function, G(s) the complex frequency (Laplace) domain. (c) Find the expression of the frequency transfer function H(f) and the value of the half power frequency, fB in Hz (d)...
Consider the filter circuit (Figure 1) with R=500 N and C ==uF. Learning Goal: To understand...
Consider the filter circuit (Figure 1) with R=500 N and C ==uF. Learning Goal: To understand how to find the transfer function of a filter circuit and to be able to draw the asymptotes of the Bode magnitude and phase diagrams Bode plots are used to display the amplitude and phase of a transfer function. The amplitude is typically displayed by showing the magnitude of the transfer function on the vertical axis and the frequency on the horizontal axis using...
53. A 2- order normalized Butterworth filter can be improved by using a so-called Chebeyshev filter...
53. A 2- order normalized Butterworth filter can be improved by using a so-called Chebeyshev filter The 3dBNLP second order NLP Chebeyshev transfer function is: 0.5012 2 +0.6449s+0.7079 Cheb3dBNLP(s) The Chebeyshev filter has some ripple in the passband but has better roll off, more attenuation in the stop band. If one can tolerate some ripple (sort of like a bouncy car ride) in the passband Chebeyshev filters typically have lower order than Butterworth filters. But, Butterworth filters have NO ripple...
a) Design a low-pass filter using the given circuitry with a cut-off value of 1 kHz and plot the frequency response curve on the given axes 1.0 0.7 0.5 in out 0.0 101 102 103 104 10s Hz b) Design a band-pass filter using the given circuitry with a bandwidth of 500 Hz and a lower cut-off value of 100 Hz, and draw the frequency response curve. Keep all resistors at the same value (i.e. Ri-R-R3-R4). 1.0 0.7 0.5 0.0...
Simulation For each filter mentioned in the following cases, first simulate the circuit using Multisim. You can get a plot of the transfer function that is called the Bode plot. From the right toolbar, select "Bode Plotter". Change initial (I) and final (F) frequencies to 1Hz and 200 KHz, respectively. Use a Voltage AC source as the input signal. You do not need to change any parameter from voltage AC source. Connect "Bode Plotter" to input and output of your...
For each filter mentioned in the following cases, first simulate the circuit using Multisim. You can get a plot of the transfer function that is called the Bode plot. From the right toolbar, select "Bode Plotter". Change initial (I) and final (F frequencies to 1Hz and 200 KHz, respectively. Use a Voltage AC source as the input signal. You do not need to change any parameter from voltage AC source Connect "Bode Plotter" to input and output of your circuit...
1. In this class and in other physics lab classes you will often use oscilloscopes to look at signal that change in time. Below is a sinusoidal AC signal on an oscilloscope screen. The vertical axis is set to 10 mV/division and the horizontal axis is set to 50 ms/division For the signal shown, what is the: a. Average voltage? b. Peak voltage? c. Peak-to-peak voltage? d. RMS voltage? e. Period? f. Frequency? g. If you were to write an...
4. An electrical filter circuit is built with a series resistor (R), inductor (L) and capacitor (C). The ratio of resistor voltage (output) to source voltage (input) is given by H is the magnitude of a complex number, where ZL=JwL ZC = 1 / (j w C) andjsVT (same as 1) w frequency (radians/sec) 2 f,where f is frequency in Hz. For each exercise, assign the values of R, L and C and set the recommended frequency range. Then have...
Scale the bandpass filter in (Figure 1) so that the center frequency is 180 kHz and the quality factor is 8, using a 2.5 nF capacitor. Figure < 1 of 1 > 8k 310 mH 10 nF Part A Determine the value of the resistor of the scaled filter Express your answer to three significant figures and include the appropriate units. R = Value Units Submit Request Answer Part B Determine the value of the inductor of the scaled filter...
Prelab 10.1: Active lowpass filter Given the circuit shown in Figure 10.1 with Ri-R2-Rs-R4-R-1.0 [k2, and C 0.1 [uF (a) Represent the circuit in state-space form given by i(t) = ar(t) + bu(t), i.e., find the values of parameters a, b, c, and d. (b) Find the expression for the transfer function, G(s) the complex frequency (Laplace) domain. (c) Find the expression of the frequency transfer function H(f) and the value of the half power frequency, fB in Hz (d)...
Consider the filter circuit (Figure 1) with R=500 N and C ==uF. Learning Goal: To understand how to find the transfer function of a filter circuit and to be able to draw the asymptotes of the Bode magnitude and phase diagrams Bode plots are used to display the amplitude and phase of a transfer function. The amplitude is typically displayed by showing the magnitude of the transfer function on the vertical axis and the frequency on the horizontal axis using...
53. A 2- order normalized Butterworth filter can be improved by using a so-called Chebeyshev filter The 3dBNLP second order NLP Chebeyshev transfer function is: 0.5012 2 +0.6449s+0.7079 Cheb3dBNLP(s) The Chebeyshev filter has some ripple in the passband but has better roll off, more attenuation in the stop band. If one can tolerate some ripple (sort of like a bouncy car ride) in the passband Chebeyshev filters typically have lower order than Butterworth filters. But, Butterworth filters have NO ripple...
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