JEE Advanced | 2013ElectrostaticsHard

Question

Two non-conducting spheres of radii R1 and R2 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 :-

                        

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

Solution

                 

Electric field at point  
 
= constant in both magnitude and direction at every point of overlap region. Also E is non zero so potential is not same at all points.

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