Question

To obtain displacement current of 0.2 a between the plates of a capacitor of capacity 0.5 μf, what should be the rate of change of potential difference between the plates?

Answer 1

Step 1:Given:

$I=0.2A$

$C=0.5\text{μf}$

Let the potential difference $v$

Step 2:Calculate rate of change of the potential difference between the plates:

$$\begin{gathered} I=C\frac{dv}{dt} \\ 0.2\text{A}=0.5\text{μf}\frac{dv}{dt} \\ \frac{dv}{dt}\text{=}4\times {10}^5\frac{\text{v}}{\text{s}} \end{gathered}$$

Hence, rate of change of the potential difference between the plates is $4\times {10}^5\frac{\text{v}}{\text{s}}$