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A Series Circuit Consists of a Resistor R=96ΩR = 96 \Omega

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A series circuit consists of a resistor R=96ΩR = 96 \Omega , an inductor with L=8HL = 8 \mathrm { H } , a capacitor with C=0.00125 FC = 0.00125 \mathrm {~F} , and a generator producing a voltage of E(t)=48cos(10t)E ( t ) = 48 \cos ( 10 t ) . If the initial charge is Q=0.001CQ = 0.001 \mathrm { C } and the initial current is 0 , find the charge Q(t)Q ( t ) at time tt .

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