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A nonconducting sphere of radius R is fi...

A nonconducting sphere of radius R is filled with uniform volume charge density `-rho`. The center of this sphere is displaced from the origin by `vecd`. The electric field `vecE` at any point P having position vector inside the sphere is

A

`rho/(3epsilon_0)vecd`

B

`rho/(3epsilon_0)(vecr - vecd)`

C

`rho/(3epsilon_0)(vecd - vecr)`

D

`rho/(3epsilon_0)(vecr)`

Text Solution

Verified by Experts

The correct Answer is:
C
`vec(E_(P)) = ( - rho)/(3 epsilon_(0)) vec(s) = -( rho)/( 3 epsilon_(0)) ( vecr - vec(d))`
`= (rho)/( 3 epsilon_(0))( vec(d) - vec(r))`
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