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In a series RLC circuit shown in the figure, Vi(t) is the input voltage and the unit step function. VC(t) being the voltage falling at the capacitor ends; a) Write the equations of state. b) Using the values of R=2 Ohm, C=1F, L=1H, write the expression VC(s) using the expressions in which you found the equation of state. c) Obtain the VC(t) value for the VC(s) expression you found in option b using the residual sum method.

In a series RLC circuit shown in the figure, Vi(t) is the input voltage and the unit step function. VC(t) being the voltage falling at the capacitor ends; a) Write the equations of state. b) Using the values of R=2 Ohm, C=1F, L=1H, write the expression VC(s) using the expressions in which you found the equation of state. c) Obtain the VC(t) value for the VC(s) expression you found in option b using the residual sum method.

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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In a series RLC circuit shown in the figure, Vi(t) is the input voltage and the unit step function. VC(t) being the voltage falling at the capacitor ends;
a) Write the equations of state.
b) Using the values of R=2 Ohm, C=1F, L=1H, write the expression VC(s) using the expressions in which you found the equation of state.
c) Obtain the VC(t) value for the VC(s) expression you found in option b using the residual sum method.

1,(0) + R Formüller: Ts= L M-0000 4 TS=% Mp=e ETT " Mp=C(tp)-C(∞) C (0) Tp=- T Wn√1-² TU Wd
Transcribed Image Text:1,(0) + R Formüller: Ts= L M-0000 4 TS=% Mp=e ETT " Mp=C(tp)-C(∞) C (0) Tp=- T Wn√1-² TU Wd
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