A parallel plate air capacitor is made using two square plates each of side 0.2 m, spaced 1 cm apart. It is connected to a 50V battery.
What is the capacitance ?

Explanation

To solve the problem of finding the capacitance of a parallel plate air capacitor, we will follow these steps:

### Step 1: Identify the given values
- Side length of the square plates, \( a = 0.2 \, \text{m} \)
- Separation between the plates, \( d = 1 \, \text{cm} = 0.01 \, \text{m} \)
- Permittivity of free space, \( \epsilon_0 = 8.85 \times 10^{-12} \, \text{F/m} \)

### Step 2: Calculate the area of the plates
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