Question

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)`

Answer 1

Correct Answer - 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))`