Find the rms value of current from t=0 to t=`(2pi)/(omega)` if the current avries as `i=I_(m)sin omegat`.

Explanation

To find the root mean square (rms) value of the current given by the equation \( i(t) = I_m \sin(\omega t) \) from \( t = 0 \) to \( t = \frac{2\pi}{\omega} \), we can follow these steps:

### Step 1: Understand the definition of rms value
The rms value of a function over a period \( T \) is defined as:
\[ I_{\text{rms}} = \sqrt{\frac{1}{T} \int_0^T i^2(t) \, dt} \]
In our case, \( T = \frac{2\pi}{\omega} \).
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