Show that `L/R` has units of time.

Explanation

To show that \( \frac{L}{R} \) has units of time, we will analyze the units of inductance \( L \) and resistance \( R \) and derive the relationship step by step.

### Step 1: Identify the units of inductance \( L \)
Inductance \( L \) is defined as the ratio of the induced electromotive force (emf) to the rate of change of current. The SI unit of inductance is Henry (H).

1 Henry (H) is defined as:
\[
1 \, \text{H} = 1 \, \frac{\text{V} \cdot \text{s}}{\text{A}} = 1 \, \frac{\text{J}}{\text{C} \cdot \text{s}} = 1 \, \frac{\text{kg} \cdot \text{m}^2}{\text{s}^2 \cdot \text{C} \cdot \text{s}} = 1 \, \frac{\text{kg} \cdot \text{m}^2}{\text{s}^2 \cdot \text{A}^2}
...