A parallel plate capacitor of area $A=16 \mathrm{~cm}^2$ and separation between the plates 10 cm , is…
A parallel plate capacitor of area $A=16 \mathrm{~cm}^2$ and separation between the plates 10 cm , is charged by a DC current. Consider a hypothetical plane surface of area $\mathrm{A}_0=3.2 \mathrm{~cm}^2$ inside the capacitor and parallel to the plates. At an instant, the current through the circuit is 6A. At the same instant the displacement current through $\mathrm{A}_0$ is ________ mA.
Solution
$i_d=i_c$ $\therefore$ Total displacement current $=6 \mathrm{~A}$ Through $A_0$ $\begin{aligned} & i=\left(\frac{A_0}{A}\right) 6 \\
& =\frac{3.2}{16} \times 6=1.2 \mathrm{~A}=1200 \mathrm{~mA} \end{aligned}$