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A parallel plate capacitor has a capacit...

A parallel plate capacitor has a capacity `80xx10^(-6)F`, when air is present between its plates. The space between the plates is filled with a dielectric slab of dielectric constant 20. The capacitor is now connected to a battery of 30V by wires. The dielectric slab is then removed. Then, the charge passing through the wire is

A

`12xx10^(-3)C`

B

`253xx10^(-3)C`

C

`120xx10^(-3)C`

D

`456xx10^(-3)C`

Text Solution

Verified by Experts

The correct Answer is:
D
`C_("air") =80 mu F`
`C_("dielectric") = epsi_(t) C_("air") =1600 mu F`
Charge stored in the presence of air,
`q_("air") =C_("air") xx V=80xx30xx10^(-6)=2400 mu C`
Charge stored in presence of dielectric medium,
`q_(d) =C_("dielectric") xx V=1600xx30xx10^(-6)`
`=48000 mu C`
When dielectric is removed, effective charge remained is
`q=q_(d) -q_("air")`
`=(48-2.4)xx10^(-3) C`
`q=456xx10^(-3) C`
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