An AC source is reopresented as V =` 200 sqrt(2) sin 500 t` . This source is connected to resistor of resistance `500 Omega` and capacitor of capacitance `4 muF` connected in series . Calculate power consumed in the circuit .

Explanation

To solve the problem step by step, we will calculate the power consumed in the circuit with the given AC source, resistor, and capacitor.

### Step 1: Identify the RMS Voltage
The given AC voltage is:
\[ V(t) = 200 \sqrt{2} \sin(500t) \]

The RMS voltage (\( V_{rms} \)) for a sinusoidal wave is calculated as:
\[ V_{rms} = \frac{V_0}{\sqrt{2}} \]
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