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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)
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...
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Problem #5 Vin L 100mH R1 1000 HH -C 20uF R2 • 100 Ω 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=10002, 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.
Transcribed Image Text:Problem #5 Vin L 100mH R1 1000 HH -C 20uF R2 • 100 Ω 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=10002, 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.
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