A capacitor with circular plates of radius 10cm and plate separation 2.0mm is being charged by a time-dependent current given by
I(t)=4.0e−t/0.010A,t≥0.
Assume the field between the plates is uniform and fringe effects are negligible.
(a) Derive an expression for the charge q(t) on the capacitor at any instant t.
(b) Using the result of part (a), obtain the electric flux ΦE(t) linked with a surface bounded by a circle of radius equal to that of the plates.
(c) Calculate the magnitude of the displacement current at the instant t=0.010s.
(d) Show explicitly whether the displacement current equals the conduction current at the same instant.