Two nonconducting spheres of radii `R_1 and R_2` and carrying uniform volume charge densities `+rho and -rho`, respectively, are placed such that they partially overlap, as shown in the figure. At all points in the overlapping region,

Options

A. the electrostatic field is zero
B. the electrostatic potential is constant
C. the electrostatic field is constant in magnitude
D. the electrostatic field has same direction

Answer

C, D

Explanation

For electrostatic field,
`E_(p)=E_(1)+E_(2)=p/(3epsi_(0))C_(1)p+((-p))/(3epsi_(0))C_(1)P=p/(3epsi_(0))(C_(1)P+PC_(2))=p/(3epsi_(0))C_(1)C_(2)`