A series circuit consists of a resistor with $ R = 20 \Omega $, an inductor with $ L = 1 H $, a capacitor with $ C = 0.002 F $, and a 12-V battery. If the initial charge and current are both 0, find the charge and current at time $ t $.

Answer

$Q=-0.012 e^{-10 t}(\sin 20 t+2 \cos 20 t)+0.024$
$I=0.6 c^{-10 t} \sin 20 t$

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Calculus 3

Calculus

Chapter 17

Second-Order Differential Equations

Section 3

Applications of Second-Order Differential Equations

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Video Transcript

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