Question

Displacement current is set up between the plates of a capacitor when the potential difference across the plates is

• A. maximum
• B. zero
• C. minimum
• D. varied with time

Answer 1

The correct option is D varied with time

We know that the displacement current is given by,

$I_d={\epsilon }_0\frac{d{\varphi }_E}{dt}=A{\epsilon }_0\frac{dE}{dt}$

Here, $E$ is the electric field

As potential difference is given by,

$V=Ed$

Here, $d$ is the distance between the plates.

$\Rightarrow I_d=\frac{A{\epsilon }_0}{d}\frac{dV}{dt}$

Therefore, the displacement current is set up between the plates of a capacitor only when the potential difference across the plates is varying.

Hence, option $\left(D\right)$ is the correct answer.