A parallel plate capacitor is formed by two plates, each of area `100 cm^2`, separated by a distance of 1 mm. A dielectric of dielectric constant 5.0 and dielectric strength `1.9 X 10 ^7 Vm^(-1)` is filled between the plates. Find the maximum charge that can be stored on the capacitor without causing any dielectric breakdown.

Explanation

To find the maximum charge that can be stored on a parallel plate capacitor filled with a dielectric without causing dielectric breakdown, we can follow these steps:

### Step 1: Convert given values to standard units
- Area of the plates, \( A = 100 \, \text{cm}^2 = 100 \times 10^{-4} \, \text{m}^2 = 0.01 \, \text{m}^2 \)
- Distance between the plates, \( D = 1 \, \text{mm} = 1 \times 10^{-3} \, \text{m} \)
- Dielectric constant, \( K = 5.0 \)
- Dielectric strength, \( E = 1.9 \times 10^7 \, \text{V/m} \)

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