(b) A 0.3-µF capacitor has a current through it of \(12e^{-4000t} \, \text{mA}\). Find its voltage \(v_c(t)\) for \(t > 0\) if \(v(0) = -10 \, \text{V}\). Recall that \[v_c(t) = \frac{1}{C} \int_0^t i_c(\tau) d\tau + v_c(0).\]

The detailed solution is provided below.

Answered: (b) A 0.3-µF capacitor has a current…

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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(b) A 0.3-µF capacitor has a current through it of 12e-4000 mA. Find its voltage vc(t) for t > 0 if v(0) = −10 V. Recall that vċ(t) = ½ ſie(7)dt + vc(0).