The space between the plates of a parallel-plate capacitor (area

PHYSICS · Subjective · CBSE · Physics · Electromagnetic Waves · Electromagnetic Waves

Problem

40\,\text{cm}^2

, separation

1.0\,\text{mm}

) is completely filled with a dielectric of relative permittivity

\kappa=5.0

. A potential difference that varies with time according to

V(t)=2000\,t\;\text{V}

(with

t

in seconds) is applied across the plates for the interval

0\le t\le 2.0\times10^{-3}\,\text{s}

. Edge effects may be neglected. (a) Determine the time-dependent electric field

E(t)

in the dielectric. (b) Hence find the displacement current density

J_d(t)

in the region between the plates. (c) Calculate the total displacement current through the entire area of the plates at

t=1.0\,\text{ms}