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A sherical capacitor has an inner sphere...

A sherical capacitor has an inner sphere of radius `12 cm` and an outer spere of radius `13 cm`. The outer sphere is earthed, and the inner sphere is given a charge of `2.5 muC`. The space between the concentric spjheres is filled with a liquid of dielectric caonstant `32`. Determine the potential of the inner sphere.

A

`400 V`

B

`450 V`

C

`500 V`

D

`300 V`

Text Solution

Verified by Experts

The correct Answer is:
B
`V-0=Q/C=(Q(b-a))/(K4piepsilon_(0)ab)`
or `V=(9xx10^(9)xx2.5xx10^(-6)(0.13-0.12))/(32xx0.13xx0.12)`
`=450 V`.
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