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A charge particle 'q' lies at the centre...

A charge particle `'q'` lies at the centre of two concentric hollow sphere of inner radii `R` and `3R` and outer radii `2R` and `4R` respectively. What amount of work has to be performed to slowly transfer the charge `'q'` from center rough the orifice to infinity.

A

`5/96 (q^(2))/(piepsilon_(0)R)`

B

`(q^(2))/(16 piepsilon_(0)R)`

C

`7/96 (q^(2))/(piepsilon_(0)R)`

D

`(q^(2))/(96 piepsilon_(0)R)`

Text Solution

Verified by Experts

The correct Answer is:
C
Work performed `=int_(R)^(2R) 1/2 epsilon_(0) E^(2)dV+int_(3R)^(4R) 1/2 epsilon_(0) E^(2) dV=7/96 (q^(2))/(piepsilon_(0)R`
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