Consider the circuit shown in Fig 1, derive the expression (step by step) of the voltage transfer function and find the time constants and the corner frequencies.
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thx!!!! Question 3 (5.5 marks) a) Find the transfer function of the electrical circuit shown in Figure 1. What is the value of the steady state gain(s), if any? b) If R1 1, R2 = 2n, C\ = 2- 10-3F, C 1-10-3F, calculate the time constants of the system (if any). c) Find the initial and final values of the unit impulse response of the circuit d) Derive the time-domain expression of the output if the input is the function...
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)
For the system shown in Fig. 1, solve the following problems. (a) Find the transfer function, G(s)X2 (s)/F(s) (b) Does the system oscillate with a unit step input (f (t))? Explain the reason (c) Decide if the system(x2 (t)) is stable with a unit step input (f (t))? Explain the reason 1. 320) 8 kg 2 N/m 4N-s/m 2N-s/m Fig. 1 2. There are two suspensions for a car as shown in Fig. 2 (a) Find the equations of each...
Problem 1: (Time Response) Derive the transfer function (s) of the electrical circuit shown below. Then obtain the response e (0) when the input (1) is a unit step of magnitude E, (i.e., e(t) = E, (t)). Assume that the initial charge in the capacitor is zero. e/o)
4) a) Simplify and then find the transfer function of the system shown in Fig. 2; b) Determine the position, velocity and acceleration error constants for the transfer function to be found in a) to the unit step, unit ramp and unit parabolic inputs; c) Model the system given in Fig. 2 by Mat Lab/Simulink if it is possible and plot the output variable to the unit step and ramp functions Fig. 2
Draw the circuit diagram and derive the frequency transfer function for the first-order passive RL low-pass filter (voltages as input and output). If this filter has a time constant of 2s and the input voltage signal is cos(πt) + sin(3πt) in the time domain, find the output signal in the time domain.
e 7. (a) Derive an expression for the closed loop transfer function for the e, control system shown in FIGURE 6 к, к, K к, FIG. 6 (b) Show that the value of is 08 when the following values of the various control loop elkments are adopted: 10 К 2 K 5 Ка 0.4 0.9 n
Derive a solution for the voltage across the capacitor C1 in Fig. 1 as a function of time from t 0 ms to t 125 ms if the switches are controlled as shown in Fig. 2. The initial capacitor voltage is -9 V. Show all of your work. 1. S4 R3 R1 S1 V1+ C1+ R2 V2+ yti Fig. 1. Switched RC circuit. V1-9 V, V2--15 V, R14.7 k2, R2-3.3 kQ, R3 2.2
Please answer all parts thank you 6. [15 POINTS] Consider a passive low-pass filter as shown below. 1k2 + - m - + Vin(t) 1 mF Vout(t) a) Derive a transfer function for the above circuit. b) Derive a time-domain expression for the unit impulse response of the circuit. Also, plot the impulse response as a function of time. c) Derive a time-domain expression for the unit step response of the circuit. Also, plot the step response as a function...
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