You are given a parallel plate capacitor with plates having a rectangular area of 16.4 cm2 and a separation of 2.2 mm. The space between the plates is filled with a material having a dielectric constant κ = 2.0.

Find the capacitance of this system

Answer: C = 1.319*10^-11 F

Explanation: The formulae that relates the capacitance of a capacitor to the area of the plates, distance between the plates and dielectric constant is given as

C = kε0A/d

Where C = capacitance of plates = ?

k = dielectric constant = 2.0

Area of plates = 16.4cm² = 0.00164 m²

d = distance between plates = 2.2 mm = 0.0022m

By substituting the parameters, we have that

C = 2 * 8.85*10 ^-12 * 0.00164 / 0.0022

C = 0.029028 * 10^-12 / 0.0022

C = 13.19 * 10^-12

C = 1.319*10^-11 F