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A capacitor made of two circular plates ...

A capacitor made of two circular plates each of radius 12 cm and separated by 5 mm. The capacitor is being charged by an external source. The charging current is constant and equal to 0.15 A. The capacitance of the parallel plate capacitor is

A

`0.15 pF, 0.87 V s ^(-1)`

B

`80.1 pF' 1.875 xx 10 ^(9) V si ^(-1)`

C

`0.15 pF, 80.1 V s ^(-1)`

D

`1.875 p F, 0.15 V s ^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B

Capacitance of the parallel plate capacitor
`C =(epsi _(0) A)/(d) = (8.85 xx 10 ^(-12) xx pi xx (12 xx 10 ^(-12)) ^(2))/( 5 xx 10 ^(-2))`
`C = 08.1 xx 10 ^(-12) F = 80.1pF.` We know `Q = CV`
`I = (dQ)/(dt) = C (dV)/(dt)`
SO, `(dV)/(dt) = I/C = (0.15)/( 80.1 xx 10^(-12))= 1. 875 xx 10 ^(9) V s ^(-1)`
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