An RCL circuit connected in series with a resistance of 4 ohms, a capacitor of 1/26 farad, and an inductance of 1/2 henry has an applied voltage E(t) = 16 cos 7t. Assuming no initial current and no initial charge on the capacitor. Find subsequent charge on the circuit at any time t, using the method of undetermined coefficients.

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An RCL circuit connected in series with a resistance of 4 ohms, a
capacitor of 1/26 farad, and an inductance of 1/2 henry has an applied
voltage E(t) = 16 cos 7t. Assuming no initial current and no initial charge
on the capacitor. Find subsequent charge on the circuit at any time t,
using the method of undetermined coefficients.
Transcribed Image Text:An RCL circuit connected in series with a resistance of 4 ohms, a capacitor of 1/26 farad, and an inductance of 1/2 henry has an applied voltage E(t) = 16 cos 7t. Assuming no initial current and no initial charge on the capacitor. Find subsequent charge on the circuit at any time t, using the method of undetermined coefficients.
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