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There are two concentric conducting shel...

There are two concentric conducting shells of radius `R, 2R` respectively. Charge on each surface is as shown in the figure.
Equivalent capacitance of this system is:

A

`4piepsilon_(0)R`

B

`8piepsilon_(0)R`

C

`16piepsilon_(0)R`

D

`12piepsilon_(0)R`

Text Solution

Verified by Experts

The correct Answer is:
A
This is series combination of a spherical capacitor and an isolated sphere.
Capacitance of spherical capacitor `=(4piepsilon_(0)2R^(2))/(2R-R)`
`C_(1)=8piepsilon_(0)R`
Capacitance of isolated sphere `C_(2)=8piepsilon_(0)R`
Capacitance of system is `1/C=1/(C_(1))+1/(C_(2))`
`1/C=1/(8piepsilon_(0)R)+1/(8piepsilon_(0)R)=1/(4piepsilon_(0)R)`
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