DERIVE Vo/Vi and then BODE PLOT THE FREQUENCY RESPONSE. R1 =100kΩ C2-1nF Vo (s) = ?...
Derive the transfer function, vo/vi(s), in terms of G1, G2, G3, G4, G5 where Gį = 1/Zį. Z2 N Via Z1 Z3 ο νο a. Derive the transfer function, vo/vi(s), if Z1 = R1, Z2 = R2,23 = R3 (i.e., resistors) and 24 = 1/sC1,25 = 1/sC2 (i.e., capacitors). b. Using Excel/Matlab/Python, etc., to draw the Bode plot of the magnitude using the following design values: R1=180k22, R2=180k12, R3=100522, C1=100nF, C2=25nF. c. What are the values of w, and Q?
Derive the transfer function of the circuit in
Fig.P2.93(foranidealopamp)andshowthatitcanbewritten in the
form
Vo Vi = −R2/R1 [1+(ω1/jω)][1+j(ω/ω2)] whereω1=1/C1R1
andω2=1/C2R2.Assumingthatthecircuit is designed such that ω2 ω1,
find approximate expressions
for the transfer function in the following frequency regions: (a)
ωω1 (b) ω1 ωω2 (c) ωω2
Vo
FigureP2.93
Use these approximations to sketch a Bode plot for the magnitude
response. Observe that the circuit performs as an amplifier whose
gain rolls off at the low-frequency end in the manner of a
high-pass...
Problem 3 (20 points) A Bode plot is a graph of the frequency response of a system. It is a combination of a magnitude plot, expressing the magnitude in dB of the frequency response, and a phase plot expressing the phase shift. Both quantities are plotted on a horizontal axis proportional to the logarithm of the frequency. Below is an example of a Bode plot created in Matlab. Bode Diagram 0 -20 3-40 E-60 -80 180 90 10 10 10...
1) Draw the Bode Plot for the following expressions shown below and label the values for the midband gain and ωL and ωH. a) vo/vi = 1000S/ [(S+1) (S+100)] b) vo/vi = 10S/ [(S + 1) (S/100+1) ] c) vo/vi = 10(S+1)/[(S + 10)(S/1000+1)]
3. (a) Plot Vo versus Vi for 0<Vi<15V. Assume lr0.7V. (b) Plot id over the same range of input voltage. (c) Compare (a) and (b) with MultiSim simulation. R1 1 k Vi Vo D1 DIODE R2 1 k R3 2k 15V
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...
Example 2: For the high pass filter below calculate the cutoff frequency and draw the Bode plot showing the decibel output at fe and 0.1f C1 Vout 0.1uF R1 V1 1Vpk 1KHZ 3.3kQ 0°
Example 2: For the high pass filter below calculate the cutoff frequency and draw the Bode plot showing the decibel output at fe and 0.1f C1 Vout 0.1uF R1 V1 1Vpk 1KHZ 3.3kQ 0°
Problem #4) Sketch the square wave response of a circuit, given its bode plot shown here. Bode Diagram 20 60 pautr 45 135 180 101 101 Frequency (rad/s) Bonus (2 points): Draw a circuit that will match both of the behaviors shown above.
The transfer function of the given physical system is 2500 Gp(s)-T-1000 Part 3 1. Frequency response (a) Draw the bode plot of open-loop transfer function when K (b) Use bode plot of open-loop transfer function to determine the type of system (do not use transfer function) (c) For what input the system will have constant steady-state error (d) for the unit input in item (c) calculate the constant steady-state error.(Use bode plot to calculate the error.) (e) Design a lead...