A parallel plate capacitor has circular plates, each of radius 5.0 cm.

1.	A parallel plate capacitor has circular plates, each of radius 5.0 cm. It is being charged so that electric field in the gap between its plates rises steadily at the rate of 1012 V m-1s-1 .What is the displacement current?
Answer» Radius, r = 5cm = 5 x 10^-2 m The rate okf electric frield, \(\frac{dE}{dt}\)= 10¹²vm^-1s^-1 Displacement current, I_d= ε_{0\(\frac{dφ_E}{dt}\)} = ε₀ \(\frac{d}{dt}\) (EA) = ε₀(πr²) \(\frac{dE}{dt}\) = 8.85 x 10^-12x 3.14 x (5 x 10^-2)²x 10¹² I_d = 0.069 I_d = 0.07 (or) 70 mA

A parallel plate capacitor has circular plates, each of radius 5.0 cm. It is being charged so that electric field in the gap between its plates rises steadily at the rate of 1012 V m-1s-1 .What is the displacement current?

Answer»

Radius, r = 5cm = 5 x 10^-2 m

The rate okf electric frield, \(\frac{dE}{dt}\)= 10¹²vm^-1s^-1

Displacement current, I_d= ε_{0\(\frac{dφ_E}{dt}\)} = ε₀ \(\frac{d}{dt}\) (EA)

= ε₀(πr²) \(\frac{dE}{dt}\)

= 8.85 x 10^-12x 3.14 x (5 x 10^-2)²x 10¹²

I_d = 0.069

I_d = 0.07 (or) 70 mA