During the decay of current in an `LR` circuit, if the current falls to `eta` times the intial value in time `T`, then determine the value of time constane.

Explanation

To determine the value of the time constant \(\tau\) during the decay of current in an LR circuit, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Current Decay Formula**:
The current \(I\) in an LR circuit decays according to the formula:
\[
I = I_0 e^{-\frac{t}{\tau}}
...