Given an LRC-series circuit where the inductance is ½ henry, the resistance is 10ohms, the capacitance is 1/100 farad, and the electromotive force is E(t)=150V. If q(0)=1C and i(0)=0A, find the charge on the capacitor, q(t) and the current, i(t).

Given an LRC-series circuit where the inductance is ½ henry, the resistance is 10ohms, the capacitance is 1/100 farad, and the electromotive force is E(t)=150V. If q(0)=1C and i(0)=0A, find the charge on the capacitor, q(t) and the current, i(t).

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Given an LRC-series circuit where the inductance is ½ henıy, the resistance is
10ohms, the capacitance is 1/100 farad, and the electromotive force is
E(t)=150V. If q(0)=1C and i(0)=0A, find the charge on the capacitor, q(t) and
the current, i(t).

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