Question

A plane parallel plate capacitor has plates of 10 cm2 area that are 1.0 mm apart. At an instant when charge is being accumulated on the plates at a rate of 12 nC/s, the displacement current between the plates is

Answer 1

Answer:

$1.2*10^-^8A$

Explanation:

We are given:

•Area of plates, a = 10cm²

Convert to meters we have

$10*10^-^4m$

•Distance btw plates, d= 1.0mm convert to meters, we have

$1.0 * 10^-^3 m = 10^-^3m$

•Rate of charge, q=12nC/s

The magnetic field between the plates and the magnetic field outside the plates of a capacitor are the same, and also the conduction and displacement current are the same.

The current of a capacitor is given by charge per unit time

Thus we have, i =12nC/s

$Where 1C= 10^-^9$

C/s = A

$i = 12 * 10^-^9 A$

$i = 1.2 * 10^-^8 A$