Two non-conducting spheres of radii `R_(1)` and `R_(2)` and carrying uniform volume charge densities `+rho` and `- rho` respectively are placed such that they partially overlapping region.

Options

A. Electric field intensity is zero
B. The magnitude and direction of electric field intensity are uniform
C. The magnitude of electric field intensity is uniform but the direction is changing from point to point
D. None

Answer

B

Explanation

`vecE=(rhovecr_1)/(3epsilon_0)-(rhovecr_2)/(3epsilon_0) =rho/(3epsilon_0) (vecr_1-vecr_2)=(rho vecr_0)/(3epsilon_0)`
Here `vecr_0` is a constant vector which joins the centres of both the spheres . Hence , the electric field intensity inside the overlapping region is uniform.