Question

Instantaneous displacement current of 1.0 A in the space between the parallel plates of $1\, \mu F$ capacitor can be established , by rate of change of potential difference

• A. $10^5\, V\, s^{-1}$
• B. $10^6\, V\, s^{-1}$
• C. $10^4\, V\, s^{-1}$
• D. $10^7\, V\, s^{-1}$

Answer 1

Answer: (B)

$I_{d}=\varepsilon_{0} \frac{d\phi_{E}}{dt}=\varepsilon_{0}A \frac{d}{dt}\left(\frac{V}{d}\right)$
or $I_{d}=\frac{\varepsilon_{0}A}{d}\times\frac{dV}{dt}=C \frac{dV}{dt}$ or $\frac{dV}{dt}=\frac{I_{d}}{C}=\frac{1.0}{10^{-6}}=10^{6}\,V\,s^{-1}$