An air$-$filled circular parallel plate capacitor with radius a$=5\mathrm{.}00$a$=5\mathrm{.}00$cm and plate separation d$=2\mathrm{.}00$d$=2\mathrm{.}00$mm$,$ is driven by a $60$Hz alternating voltage with amplitude V$=118$V$=118$V$.$ Naturally, the magnitude of the current is greatest at the instant when the voltage is zero. At such an instant, determine the following quantities.

$($a$)$

Magnitude of the rate of change of electric flux in the capacitor.

kV$$m$/$s $(2$ kV$$m$/$s$)$

$($b$)$

Magnitude of the displacement current in the capacitor.

A $(0\mathrm{.}02$ A$)$

$($c$)$

Magnitude of the magnetic field near the edge of the capacitor.

pT $(0\mathrm{.}02$ pT$)$