Two non-conducting spheres of radii R 1 and R 2 and carrying uniform volume charge densities + ρ and - ρ , respectively, are placed such that they partially overlap, as shown in the figure. At all points in the overlapping region,

Step-by-step solution

In triangle P C 1 C 2 , r → 2 = d → + r → 1 The electrostatic field at point P is, E → = K ρ 4 3 π R 1 3 r → 2 R 1 3 + K ρ 4 3 π R 2 3 - r → 1 R 2 3 E → = K ρ 4 3 π r → 2 - r → 1 E → = ρ 3 ε 0 d →