Question

What plate area is required if an air-filled, parallel-plate capacitor with a plate separation of 3.1 mm is to have a capacitance of 23 pF ?

Answer 1

Step-by-step explanation:

Given that,

Separation between the plates, d = 3.1 mm = 0.0031 m

Capacitance of the capacitor, C = 23 pF

We need to find the area of the plate. The capacitance of a parallel plate capacitor is given by :

`C=(A\epsilon_0)/(d)`

`A=(Cd)/(\epsilon_0)`

`A=(23* 10^(-12)* 0.0031)/(8.85* 10^(-12))`

`A=0.0080\ m^2`

or

`A=80\ cm^2`

So, the area of the plate is 80 square centimetres. Hence, this is the required solution.