The is one parallel plate air capacitor having plate area 40 `cm^(2)` and separation between the plates equal to 0.1 mm. Dielectric strength of air is `3xx 10^(6)` V/m. find maximum rms voltage that can be applied across capacitor without electric breackdown.

Explanation

To solve the problem of finding the maximum RMS voltage that can be applied across a parallel plate air capacitor without electric breakdown, we will follow these steps:

### Step 1: Understand the Given Data
We are given:
- Plate area \( A = 40 \, \text{cm}^2 = 40 \times 10^{-4} \, \text{m}^2 = 4 \times 10^{-2} \, \text{m}^2 \)
- Separation between the plates \( d = 0.1 \, \text{mm} = 0.1 \times 10^{-3} \, \text{m} = 1 \times 10^{-4} \, \text{m} \)
- Dielectric strength of air \( E_{max} = 3 \times 10^6 \, \text{V/m} \)

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