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Inside a uniformly charged infinitely lo...

Inside a uniformly charged infinitely long cylinder of radius 'R' and volume charge density 'rho' there is a spherical cavity of radius 'R//2'. A point 'P' is located at a dsintance `2 R` from the axis of the cylinder as shown. Then the electric field strength at the point 'P' is

A

`(23rhpR)/(54varepsilon_(0))`

B

`(23rhpR)/(108varepsilon_(0))`

C

`(25rhoR)/(54varepsilon_(0))`

D

`(25rhoR)/(108varepsilon_(0))`

Text Solution

Verified by Experts

The correct Answer is:
D
The electric field strength at point 'P' is
`E = E_(1) - E_(2)`
`= (rhoR)/(4varepsilon_(0)) - (rhoR)/(54varepsilon_(0))`
`E = (25rhoR)/(108varepsilon_(0))`
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