Question

In order to establish an instantaneous displacement current of $1\text{mA}$ in the space between the plates of $2\mu F$ parallel plate capacitor, the potential difference need to apply is

• A. $100{\text{Vs}}^{-1}$
• B. $200{\text{Vs}}^{-1}$
• C. $300{\text{Vs}}^{-1}$
• D. $500{\text{Vs}}^{-1}$

Answer 1

The correct option is D $500{\text{Vs}}^{-1}$

The displacement current during charging/discharging of a capacitor is, $I_d=C\left(\frac{dV}{dt}\right)$
$1\times {10}^{-3}=2\times {10}^{-6}\left(\frac{dV}{dt}\right)$
$\therefore \frac{dV}{dt}=\frac{1\times {10}^3}{2}=500{\text{Vs}}^{-1}$

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