Question

How far away from each other would two metal plates, 2 square meters in area each, must be in order to create a capacitance of 1 μF? Assume that the plates are separated by air.

Answer 1

The capacitance of parallel plate capacitor

$$C=\frac{\epsilon_0 A}{d}$$

Hence, the separation between plates

$$d=\frac{\epsilon_0 A}{C}=\frac{8.85*10^{-12}*2.00}{1.00*10^{-6}}=1.77*10^{-5}\:\rm m$$