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A solid sphere of radius R has a spheric...

A solid sphere of radius `R` has a spherical cavity of radius `r` as shown in the figure. If the volume charge density `sigma` is uniformly distributed over the whole volume of the sphere, then electric field strength at the centre of the sphere will be

A

`(R^(3)sigma)/(2piepsilon_(0)(R-r)^(2))`

B

`(Rsigma)/(3piepsilon_(0))`

C

`(1)/(3epsilon_(0))(r^(3)sigma)/((R-r)^(2))`

D

`(rsigma)/(3epsilon_(0)(R-r)^(2))`

Text Solution

Verified by Experts

`E=(1)/(4piepsilon_(0))((4)/(3)pir^(3)sigma)/((R-r)^(2))`
`=(1)/(3epsilon_(0))(r^(3)sigma)/((R-r)^(2))`
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