A parallel-plate capacitor having plate are `100 cm ^2` and separation 1.0 mm holds a charge of `0.12 muC` when connected to a 120 V battery. Find the dielectric constant of the material filling the gap.

Explanation

To find the dielectric constant (K) of the material filling the gap of a parallel-plate capacitor, we can follow these steps:

### Step-by-Step Solution:

1. **Convert Given Values to SI Units**:
- Area of the plates:
\[
A = 100 \, \text{cm}^2 = 100 \times 10^{-4} \, \text{m}^2 = 0.01 \, \text{m}^2
...