The current in an RL circuit builds up to one-third of its steady-state value in 5.00 s. Find the inductive time constant.

Explanation

To find the inductive time constant (τ) of an RL circuit where the current builds up to one-third of its steady-state value in 5 seconds, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Circuit**:
In an RL circuit, the current (I) builds up over time when a voltage (E) is applied. The steady-state current (I₀) can be expressed as \( I₀ = \frac{E}{R} \), where R is the resistance.

2. **Current Growth Equation**:
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