The average value of alternating current `I=I_(0) sin omegat` in time interval `[0, pi/omega]` is

Explanation

To find the average value of the alternating current \( I = I_0 \sin(\omega t) \) over the time interval \( [0, \frac{\pi}{\omega}] \), we will follow these steps:

### Step 1: Define the average value of the current
The average value \( I_{\text{avg}} \) of a function over a time interval \( [a, b] \) is given by the formula:
\[ I_{\text{avg}} = \frac{1}{b-a} \int_a^b I(t) \, dt \]
In our case, \( a = 0 \) and \( b = \frac{\pi}{\omega} \).
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