Question

The capacity of a parallel plate air capacitor is $2\mu F$ and voltage between the plates is changing at the rate of 3 V/s. The displacement current in the capacitor is :

• A. $2\mu A$
• B. 3$\mu A$
• C. $5\mu A$
• D. $6\mu A$

Answer 1

The correct option is D $6\mu A$

Charge across the plate of capacitor, $q=CV$

Differentiating w.r.t time, we get $\frac{dq}{dt}=C\frac{dV}{dt}$

$⟹$ Displacement current, $i=C\frac{dV}{dt}$

Given : $C=2\mu F$

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

Displacement current , $i=2\mu F\times 3V/s=6\mu A$