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

Options

A. `(rho)/(3in_(0))vec(d)`
B. `(rho)/(3in_(0))(vec(r)-vec(d))`
C. `(rho)/(3in_(0))(vec(d)-vec(r ))`
D. `(rho)/(3in_(0))vec((r ))`

Answer

c

Explanation

`vec(E_(p))=(-rho)/(3epsilon_(0))vecs= -(rho)/(3 epsilon_(0))(vec(r )-vec(a))`
`=(rho)/(3epsilon_(0))(vec(d)-vec(r ))`