Question

Instantaneous displacement current $1A$ in the space between the parallel plates of $1\mu F$ capacitor can be established by changing the potential difference at the rate of:

• A. $0.1V/s$
• B. $1V/s$
• C. ${10}^{6}V/s$
• D. ${10}^{-6}V/s$

Answer 1

Answer: (C)

${10}^{6}V/s$

In a capacitor of capacitance $C$,

$V=\frac{q}{C}$

$⟹\frac{dV}{dt}=\frac{i}{C}=\frac{1A}{1\mu F}={10}^{6}V/s$