The current in a discharging `LR` circuit is given by `I = i_0 (t/tau)` where `tau` is the time constant of the circuit. Calculate the rms current for the period `t = 0` to `t = tau`.

Explanation

To calculate the RMS current for the period \( t = 0 \) to \( t = \tau \) in a discharging LR circuit where the current is given by \( I = I_0 \frac{t}{\tau} \), we will follow these steps:

### Step 1: Understand the RMS Current Definition
The RMS (Root Mean Square) current is defined as:
\[ I_{\text{RMS}} = \sqrt{\frac{1}{T} \int_0^T I^2 \, dt} \]
where \( T \) is the time period over which we are calculating the RMS value.
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