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Exercise 3) In the LRC circuit below, at time t = 0 the current in the inductor is io voltage is applied to the circuit at time t = ti sec and held constant until t = t2 sec before it is off, as shown on the right. Consider R = 1 N, L = 2 H and C = 0.5 F. 0.354 R L v(t)A 1 v(t) C ti t2 t We wish to determine the current through the circuit i(t) considering the applied voltage v( the initial current in the inductor io using the Laplace transform. Follow the steps below. (a) Write the differential equation relating i(t) and v(t). At this time the values of t1 and t2 need to be specified. (b) Take the Laplace transform of (a) considering the initial current in the inductor. (c) Solve for the current using the inverse Laplace transform.

Exercise 3) In the LRC circuit below, at time t = 0 the current in the inductor is io voltage is applied to the circuit at time t = ti sec and held constant until t = t2 sec before it is off, as shown on the right. Consider R = 1 N, L = 2 H and C = 0.5 F. 0.354 R L v(t)A 1 v(t) C ti t2 t We wish to determine the current through the circuit i(t) considering the applied voltage v( the initial current in the inductor io using the Laplace transform. Follow the steps below. (a) Write the differential equation relating i(t) and v(t). At this time the values of t1 and t2 need to be specified. (b) Take the Laplace transform of (a) considering the initial current in the inductor. (c) Solve for the current using the inverse Laplace transform.

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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Exercise 3) In the LRC circuit below, at time t = 0 the current in the inductor is io = 0.354 A. A voltage is applied to the circuit at time t = ti sec and held constant until t = t2 sec before it is turned off, as shown on the right. Consider R = 1 N, L = 2 H and C = 0.5 F. R L v(t)A 1 v(t) C ti t2 t We wish to determine the current through the circuit i(t) considering the applied voltage v(t) and the initial current in the inductor io using the Laplace transform. Follow the steps below. (a) Write the differential equation relating i(t) and v(t). At this time the values of t1 and t2 do not need to be specified. (b) Take the Laplace transform of (a) considering the initial current in the inductor. (c) Solve for the current using the inverse Laplace transform.
Transcribed Image Text:Exercise 3) In the LRC circuit below, at time t = 0 the current in the inductor is io = 0.354 A. A voltage is applied to the circuit at time t = ti sec and held constant until t = t2 sec before it is turned off, as shown on the right. Consider R = 1 N, L = 2 H and C = 0.5 F. R L v(t)A 1 v(t) C ti t2 t We wish to determine the current through the circuit i(t) considering the applied voltage v(t) and the initial current in the inductor io using the Laplace transform. Follow the steps below. (a) Write the differential equation relating i(t) and v(t). At this time the values of t1 and t2 do not need to be specified. (b) Take the Laplace transform of (a) considering the initial current in the inductor. (c) Solve for the current using the inverse Laplace transform.
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