Question

A parallel plate capacitor of capacitance $20 ext{ }\mu ext{F}$

is being charged by a voltage source whose

potential is changing at the rate of $3 ext{ V/s}$. The

conduction current through the connecting

wires, and the displacement current through

the plates of the capacitor, would be,

respectively

Accepted Answer

Capacitance of capacitor $C = 20 ext{ } \mu ext{F}$

$= 20 imes 10^{-6} ext{ F}$

Rate of change of potential

$$\frac{dV}{dt} = 3 ext{ V/s}$$

$q = CV$

$$\frac{dq}{dt} = C \frac{dV}{dt}$$

$i_c = 20 imes 10^{-6} imes 3$

$= 60 imes 10^{-6} ext{ A}$

$= 60 ext{ } \mu ext{A}$

As we know that $i_d = i_c = 60 ext{ } \mu ext{A}$