P. 1. Answer the following questions about electric circuits. (1) Derive the transfer function for this...
1. Please do the hand calculation to find out the transfer function for the circuit in Fig.1. Then, note down the Poles and Zeros if it has. 2. Using Bode-rules to draw the Bode Plot (Magnitude), make some assumption or discussion if needed. C1 HH W Vina Vout R1 R2 HH C2 Fig. 1 H(0) H(0) Hint: 200 e P1 P1 P1 21 P1
QUESTION #2 PLEASE 1. Derive the transfer function for the circuit shown below. Plot H(s) versus frequency in Hertz, on a semilog scale. Ri 11.3 k Ri 22.6 k R R = 68.1 kN R3 C C 0.01 uF R2 Vout(s) Vin(s) C2 10 (s+5) H(s) = (s+100)(s5000) , (a) draw the magnitude Bode plot 2. For the transfer function and find the approximate maximum value of (H(jw) in dB, (b) find the value of w where 1 for w>5...
For the circuit shown below (1) Please derive an expression for the transfer function H(jco)- Vout/Vin. (2) Sketch the corresponding Bode magnitude and phase plots, and please indicate the slope. 50Ω 250 mF 100 Ω 250 mF in out
Given the circuit below: R3 C1 Vout C2 R1 R3 Vin R2 ts 1 a) derive the transfer function between the input and the output in terms of R1,C1,R2,C2 b) For this and all other parts below, assume Izl<Ipl, i..e that D(s) is a lead-type compensator. The transfer function is written in the following format ts 1 Express quantities K, z, p using R1,C1,R2,C2 Also, express Κα, α, τ using K,z, p c) Observe the values of s-jw on the...
Problem #1 (100pts) Consider the circuit shown in the Figure of three simpler circuits (stages). 1) Without solving for the transfer function find how each stage behaves versus frequency o 2) Using this information find how the total circuit behaves versus frequency 2) Find the transfer function for each stage 3) Find the transfer function of the total circuit 4) Plot the |H(jo) 2 as a cascade Av R4 R1 ww Vin Vout R3 Ov Stage II Stage II Stage...
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?
Q11 (20pts.): For the circuit shown below Derive the transfer function, H(s) assuming the OPAMP's transfer function is. If you like you can assumeA 106 Plot the bode plot of H(s) Derive the time domain step response. Plot the time domain step response This is a tricky problem! The LTspice file can be found here. .tran 2 V1 U1 out V2 R1 R2 in V3 1k 10k PULSE(-5 50 1102)
Using nodal analysis, calculate the transfer function of notch filter. Use the transfer function to calculate the expected gain (using the actual resistor and capacitor values that were measured for your experiment-See below). Hint: You need to solve the circuit with nodal analysis, using the impedance of a capacitor as - j / (2 * pi * C). The amplifier at the end is just a unity gain amplifier with a gain of 1, so it won't enter into the...
Pre-Laboratory Task 4: Derive an expression for the magnitude of the transfer function, H(Go)Vout(jo)/Wn(j, and the phase of the transfer function LH (ja) for the LCR circuit in Figure 4. Plot H(ja)l and H(jo) vs. frequency (o) in the form of a Bode plot indicating the damping frequency and the value of |H(jo)| at the damping frequency. Also determine the 3dB frequency and the roll off rate for Ir(ja)1 when ω > ω3dB. Vounlius R 470Ω C 100 nF Figure...
This filter is an active bandpass filter Compute the transfer function for the circuit of in terms of the circuit constants R1 R2 R3 C1 and C2. Then, replace the complex variable with omega, and the circuit constants with their numerical values and plot the magnitude versus radian frequency . What kind of filter is this? Find the transfer function of the circuit and Use MATLAB to plot IVout/Vin over frequency to verify your answer. 0.01 μF 106.1 kΩ 0...