The current in a discharging LR circuit without the battery drops from 2.0 A to 1.0A in 0.10 s. (a) find the time constant of the circuit. (b) if the inductance of the circuit is 4.0 H, what is its resistance?

Explanation

To solve the problem step by step, we will break it down into two parts as per the question.

### Part (a): Finding the Time Constant of the Circuit

1. **Identify the given values:**
- Initial current, \( I_0 = 2.0 \, A \)
- Current after time \( t = 0.1 \, s \), \( I = 1.0 \, A \)
- Time, \( t = 0.1 \, s \)
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