Electric current in a circuit is given as a function of time as below .
`I=I_(0)((3t)/(2tau))`
Calculate the rms value of current for the time period t=0 to `2tau` .

Explanation

To find the RMS (Root Mean Square) value of the current given by the function \( I = I_0 \frac{3t}{2\tau} \) over the time period from \( t = 0 \) to \( t = 2\tau \), we will follow these steps:

### Step 1: Square the Current Function
First, we need to square the current function:
\[ I^2 = \left(I_0 \frac{3t}{2\tau}\right)^2 = I_0^2 \frac{9t^2}{4\tau^2} \]

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