In an RC circuit with resistance R=1 Ohm and an air filled, uncharged capacitor

Question

In an RC circuit with resistance R=1 Ohm and an air filled, uncharged capacitor with circular plate of radius 1m and plate separation 1mm is connected to a 10V DC supply. Find the following at any time t, (ie., leave your answers in terms of t) (1) Charge at time t. (2) Current at time t. (3) Electric Field (assuming it to be uniform between the plates) at time t (4) Displacement current at time t, it should be equal to the current (5) Magnetic Field at R=2m at time t. Answers may be left in terms of mu 0 and epsilon 0- Show all work.

Explanation / Answer

1) charge at time is given by q = Q(1-e^-t/RC) where C = 0A/d and Q = C

2)current i = (q/RC)e^-/RC discharging of current

3)electric field E = C/0A

4)i = (q/RC)e^-/RC

5) magnetic field B = 0i/4R

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