A parallel plate capacitor with circular plates of radius 1 m has a capacitance of 1 nF. At t = 0, it is connected for charging in series with a resistor R = 1 M̦ across a 2V battery (Fig. 8.3). Calculate the magnetic field at a point P, halfway between the centre and the periphery of the plates, after t = 10^-3 s. (The charge on the capacitor at time t is q (t) = CV [1 - exp (-t/τ)], where the time constant τ is equal to CR.)
OP = 0.5m
1MΩ
2V