Question

A parallel plate capacitor consists of two circular plates each of radius $2\, cm$, separated by a distance of $0.1\, mm$. If voltage across the plates is varying at the rate of $5 \times 10^{13} V / s$, then the value of displacement current is

• A. $5.50\, A$
• B. $5.56 \times 10^{2} A$
• C. $5.56 \times 10^{3} A$
• D. $2.28 \times 10^{4} A$

Answer 1

Answer: (C)

$I_{d} =\varepsilon_{0} A \frac{d E}{d t}=\varepsilon_{0} \frac{A}{d} \frac{d V}{d t}$
$=\frac{8.86 \times 10^{-12} \times 3.14 \times\left(2 \times 10^{-2}\right)^{2}}{0.1 \times 10^{-3}} \times 5 \times 10^{13}$
$=5.56 \times 10^{3} A$