A series circuit contains an inductor, a resistor, and a

Chapter , Problem 44RP

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A series circuit contains an inductor, a resistor, and a capacitor for which \(L=\frac{1}{2} \mathrm{h}, R=10 \Omega\), and C=0.01 f, respectively. The voltage

                               \(E(t)=\left\{\begin{array}{lr}10, & 0 \leq t<5 \\0, & t \geq 5\end{array}\right.\)

is applied to the circuit. Determine the instantaneous charge q(t) on the capacitor for t 0 if q(0) = 0 and \(q^{\prime}(0)=0\).

Text Transcription:

L=1/2 mathrm h

R=10 Omega

E(t)={^10,  0 leq t<5 _0 t geq 5

q^prime 0=0

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