A parallel plate capacitor of area $50\: cm^2$ and plate separation $3\: mm$ is charged initially to $80\: \mu C$. Due to a radioactive source nearby, the medium between the plates gets slightly conducting and the plate loses charge initially at the rate of $1.5 \times 10^{-8}C/s$. What is the magnitude and direction of displacement current?

Question

$\begin {array} {1 1} (a)\;\text{Zero} \\ (b)\;1.5 \times 10^{-10}A\text{ and perpendicular to conduction current} \\ (c)\;1.5 \times 10^{-10} \text{ and same direction as conduction current} \\ (d)\;1.5 \times 10^{-8} \text{ and opposite direction to that of conduction current} \end {array}$