Task 2: Consider the electrical system in the figure below, derive a differential equation that expresses the relation between the rate of change in the capacitor voltage Vc, and the voltage across the resistor VR. (Hint: use Kirchhoff current law). (i) (ii) (iii) C Formulate a first order differential equation to express the previous system. Hint: use Kirchhoff current law. Find the general solution of this first order differential equation, Assume: C-50 Micro Farad and R=50 ohm. Show how this differential equation could also be solved using Laplace transform to determine the particular solution. Table of Laplace transforms f(t)-L-'(F(s)) A to M 1 1² sin kr cosk! a Fis)-Lif(t)) सर PIR $20 55-A 120 R 330 S²+R²50 3²+R²>0 L{f'(t)} = sF(s)-f(0) Lif"(t)} = s²F(s) - sf (0) - f'(0)

Task 2: Consider the electrical system in the figure below, derive a differential equation that expresses the relation between the rate of change in the capacitor voltage Vc, and the voltage across the resistor VR. (Hint: use Kirchhoff current law). (i) (ii) (iii) C Formulate a first order differential equation to express the previous system. Hint: use Kirchhoff current law. Find the general solution of this first order differential equation, Assume: C-50 Micro Farad and R=50 ohm. Show how this differential equation could also be solved using Laplace transform to determine the particular solution. Table of Laplace transforms f(t)-L-'(F(s)) A to M 1 1² sin kr cosk! a Fis)-Lif(t)) सर PIR $20 55-A 120 R 330 S²+R²50 3²+R²>0 L{f'(t)} = sF(s)-f(0) Lif"(t)} = s²F(s) - sf (0) - f'(0)

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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