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An RCL circuit connected in series has R = 180 ohms, C = 1/280 farad, L = 20 henries, and an applied voltage E(t) = 10 sin t. Assuming no initial charge on the capacitor, but an initial current of 1 ampere at t=0 when the voltage is first applied, find the subsequent charge on the capacitor at t=0.5. Use 4 decimal places.

An RCL circuit connected in series has R = 180 ohms, C = 1/280 farad, L = 20 henries, and an applied voltage E(t) = 10 sin t. Assuming no initial charge on the capacitor, but an initial current of 1 ampere at t=0 when the voltage is first applied, find the subsequent charge on the capacitor at t=0.5. Use 4 decimal places.

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An RCL circuit connected in series has R = 180 ohms, C = 1/280 farad, L = 20 henries, and an applied voltage E(t) = 10 sin t. Assuming no initial charge on the capacitor, but an initial current of 1 ampere at t=0 when the voltage is first applied, find the subsequent charge on the capacitor at t=0.5. Use 4 decimal places.
Transcribed Image Text:An RCL circuit connected in series has R = 180 ohms, C = 1/280 farad, L = 20 henries, and an applied voltage E(t) = 10 sin t. Assuming no initial charge on the capacitor, but an initial current of 1 ampere at t=0 when the voltage is first applied, find the subsequent charge on the capacitor at t=0.5. Use 4 decimal places.
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