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 solve the problem of finding the maximum charge that can be stored on a parallel plate capacitor with a dielectric without causing dielectric breakdown, we can follow these steps:

### Step 1: Identify the Given Values
- Area of each plate, \( A = 100 \, \text{cm}^2 = 100 \times 10^{-4} \, \text{m}^2 = 1 \times 10^{-2} \, \text{m}^2 \)
- Separation between the plates, \( d = 1 \, \text{mm} = 1 \times 10^{-3} \, \text{m} \)
- Dielectric constant, \( K = 5.0 \)
- Dielectric strength, \( E_{max} = 1.9 \times 10^{7} \, \text{V/m} \)

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