Problem #5 Vin L mm 100mH R1 100 Ω HH C 20uF SR2 1000 Vout a) By applying generalized impedances determine the transfer function Vout/Vin in terms of R₁, R2, L and C for the electrical circuit shown above. Note: Do not substitute the actual component values at his point. b) If R₁ R₂=1000, L=100 mH, and C=20 μF, determine the coordinates of the poles of the system and characterize the system as overdamped, critically damped or underdamped. c) By applying the final value theorem, determine the steady-state output of the circuit to a step input of amplitude A. Based on your result, determine the steady-state gain, K, of the system. Verify your answer by considering how the capacitor and inductor behave in steady-state (i.e., open circuit or short circuit). d) Determine the transient response, Vout(t), for a step input of magnitude 8V; in other words, for vin = 8 u(t) V. Use the same values of R₁, R2, L, and C specified in part b.

Problem #5 Vin L mm 100mH R1 100 Ω HH C 20uF SR2 1000 Vout a) By applying generalized impedances determine the transfer function Vout/Vin in terms of R₁, R2, L and C for the electrical circuit shown above. Note: Do not substitute the actual component values at his point. b) If R₁ R₂=1000, L=100 mH, and C=20 μF, determine the coordinates of the poles of the system and characterize the system as overdamped, critically damped or underdamped. c) By applying the final value theorem, determine the steady-state output of the circuit to a step input of amplitude A. Based on your result, determine the steady-state gain, K, of the system. Verify your answer by considering how the capacitor and inductor behave in steady-state (i.e., open circuit or short circuit). d) Determine the transient response, Vout(t), for a step input of magnitude 8V; in other words, for vin = 8 u(t) V. Use the same values of R₁, R2, L, and C specified in part b.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

3. A resistive source of 750 with frequency of 0.5GHZ needs to match a 75N resistive load that is in series with a 1.62pF capacitance. Design with the aim of a diagram a matching circuit for this problem.
Q3- For the figure shown the initial capacitor voltage V,-300V, capacitance C-1 uF, R-1000 and inductance L-SmH. Drive the expresion for the capacitor voltage (V1). Determine the peak value of resonant current and the conduction time of thyristor T. (Assume the initial voltage across capacitor is zero as also the initial current throngh L) V,(0) R Load
16. Aresistor of 5.0 © an inductor of 22.0 jiH and a capacitor of 150 pF are in parallel. The frequency is 1.00 MHz. What is the complex impedance, R+ jX? = A510-/49, * B.510+/49. - C.462-ji40. = D.462+/149.
This is a multi-select-multi-choice question. You have to select 2 answers. Consider the circuit below. Find i, and Ve for Vs = 10cos(1000t + a/4) by using frequency domain analysis. Angles are in radian. C1 Vc . H 100pF 200PF Vs 5 ohm 10mH
Please do not copy others' solutions. I really need this to learn more.
For the circuit below: (a) What is the amplitude, frequency and phase of vs(t) represent vs(t) in phasor form. (b) Find XL,XCand total impedance Z of the circuit and find i(t) flowing the circuit (c) Explain whether the circuit is Capacitive or Inductive and what is the frequency at which the circuit will be at resonance?
Given the circuit below and the associated set of voltages and currents, the real Power delivered by the independent voltage source is V3 10 j2 N + j3 N 12ΩΕ V1. 39 I, -j16 N V, = 150 /0° V Vi (78 - j104) V V2 (72 + j104) V I, = (-26 – j52) A I, = (-2 + j6) A I = (-24 - j58) A V3 = (150- j130) V Copyrighe 201st Peirse Ecation inc putlishing as Piene Hal Note: The given values are not RMS values.
0.1 A1 v(1) C. 3.5 A L= I mH C=01 pF Figure (Q.2.b) 2.b) Consider the circuit shown in Figure (Q.2.b) with R = 25 2. a. Compute the undamped resonant frequency, the damping coefficient, and the damping ratio ? b. The initial conditions are v(0-) = 0 and iL(0-) = 0. Show that this requires that v(0+) = 10° V/s. c. Find the particular. solution for v(t). d. Find the general solution for v(t), including the numerical values of all parameters.
t-0. 1H 6Ω. my Q.12: By using the classical method, find the voltage across the capacitor "Vc" for the circuit shown beside as a function of time -12V C0.25F (Ans.: Vc(t)=12-20e-08t+8eª V)
Cansider the systam shown below. dblase The closed Loop ranskr funchion CG/RS) ->
Calculate the theoretical bandwidth (ωc), i.e., the cutoff frequency, and the steady state gain (K) of the circuit shown in Figure .
this is a question on signals and systems course