When a voltage `V_(s)=200 sqrt(2) sin (100 t) V` is applied to an ac circuit the current in the circuit is found to be `i=2 sin [omega t + (pi//4)]A`. Find the average power consumed in the circuit.

Explanation

To find the average power consumed in the circuit, we can follow these steps:

### Step 1: Identify the given voltage and current equations
The voltage applied to the circuit is given as:
\[ V_s = 200 \sqrt{2} \sin(100t) \, \text{V} \]
The current in the circuit is given as:
\[ i = 2 \sin(\omega t + \frac{\pi}{4}) \, \text{A} \]

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