Question

A parallel plate condenser of capacity $100pF$ is connected to $230V$ of $AC$ supply of $300rad/sec$ frequency. The $rms$ value of displacement current

• A. $6.9\mu A$
• B. $2.3\mu A$
• C. $9.2\mu A$
• D. $4.6\mu A$

Answer 1

The correct option is A $6.9\mu A$

Capacitance of the plates, $C=100pF$
Angular frequency, = $300rad{s}^{-1}$

$E_{rms}=230V$

$\begin{array}{c}{I}_{rms}=\frac{E_{rms}}{X_C}=E_{rms}\times \omega C\\ I_{rms}=230\times 300\times 100\times {10}^{-12}\\ =6.9\times {10}^{-6}=6.9\mu A\end{array}$