The average value of current `i=I_(m) sin omega t from t=(pi)/(2 omega )` to `t=(3 pi)/(2 omega)` si how many times of `(I_m)`?

Explanation

To find the average value of the current \( i = I_m \sin(\omega t) \) from \( t = \frac{\pi}{2\omega} \) to \( t = \frac{3\pi}{2\omega} \), we will follow these steps:

### Step 1: Understand the formula for average value
The average value of a function over a certain interval can be calculated using the formula:
\[ I_{\text{avg}} = \frac{1}{T} \int_{t_1}^{t_2} i \, dt \]
where \( T = t_2 - t_1 \) is the duration of the interval.
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