The planar circular plates of a capacitor are being charged. At a given moment t

Question

The planar circular plates of a capacitor are being charged. At a given moment the charge is being built up at the rate dq/dt. The plates have a radius R and a separation d.

a. Show that the magnetic field due to the displacement current midway between the plates at a radius equal to half the plate radius is given by

b. Given that the radius of the plate is , and the plate separation d= 1cm . Calculate the magnetic field due to the displacement current midway between the plates at a radius equal to half the plate radius, if the charge builds up at a rate of 1 C/s.

Explanation / Answer

from the amperes law

B.dl = mue0*i

here adding the two magnetic fields so 2B*2piR = mue0*i

B = mue0*i/4piR

where i = dq/dt

b) B = 4pi*10^-7/4pi*0.1 = 1*10^-6 T

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