Question

An AC-voltage source Vac = Vo cos(ωt) is connected to a parallel plate capacitor C,

as shown in Fig. 1. Show that the current passing through the wires is identical to

displacement current. (Marks:08)

FIG. 1: Parallel Plate Capacitor​

Answer 1

Answer:

ANSWER

(a) RMS value of the conduction current, I=

X

c

V

X

c

=

ωC

1

⇒I=VωC

⇒I=230×300×100×10

−12

⇒I=6.9μA

(b) Yes. Conduction current is equal to the displacement current.

(c) B=

2πR

2

μ

o

rI

o

I

o

=

2

I

r is distance between plates from the axis,r=0.03m

putting values

B=

2π×0.06

2

4π×10

−7

×0.03×

2

×6.9×10

−6

⇒B=1.63×10

−11

T