12 YiL (t) +y (t) - x (t) 1 F vc (t) 1 H Fig. 5 The input given to the circuit shown in Fig. 5 is x(t) = 38(t). Using Laplace transformtechnique, find the expression of the voltage y(t). Given that the initial voltage across the capacitor, vc (0-) = 1 V and initial curent through the inductor, i(0-) = 2 A. The grade distribution of the question is as follows: I. Writing KVL and/or KCL equation(s). II. Transfoming time domain equations to s-domain equations. III. Applying initial conditions comrectly. IV. Finding out the expression of Y (s). V. Finding out y(t) by doing inverse Laplace transformof Y (s).

12 YiL (t) +y (t) - x (t) 1 F vc (t) 1 H Fig. 5 The input given to the circuit shown in Fig. 5 is x(t) = 38(t). Using Laplace transformtechnique, find the expression of the voltage y(t). Given that the initial voltage across the capacitor, vc (0-) = 1 V and initial curent through the inductor, i(0-) = 2 A. The grade distribution of the question is as follows: I. Writing KVL and/or KCL equation(s). II. Transfoming time domain equations to s-domain equations. III. Applying initial conditions comrectly. IV. Finding out the expression of Y (s). V. Finding out y(t) by doing inverse Laplace transformof Y (s).

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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