Question

A parallel plate capacitor filled with air has an area of 6 cm² and plate separation of 3 mm. Calculate its capacitance.

Answer 1

Given,

A = 6 cm² = 6 × 10^-4 m²

d = 3 mm = 3 × 10^-3 m

k = 1

ε₀ = 8.85 × 10^-12 c²/Nm²

C = ?

Capacitance of parallel plate capacitor

C = `("A"epsilon_0"k")/"d"`

`= (6 xx 10^-4 xx 8.85 xx 10^-12 xx 1)/(3 xx 10^-3)`

`= 17.7 xx 10^-13`

`= 1.77 xx 10^-12` F

∴ Capacitance of a parallel plate capacitor is `= 1.77 xx 10^-12` F.