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Two non-conducting spheres of radii R1 a...

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 overlap, as shown in the figure. At all points in the overlapping region

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

Text Solution

Verified by Experts

The correct Answer is:
C, D

electric field at point P
`=(rho(vec(AP)))/(3 in_(0))+(-rho(vec(BP)))/(3 in_(0))=(rho(vec(AP)-vec(BP)))/(3 in_(0))=(rho(vec(AB)))/(3 in_(0))`
= constant in both magnitude and direction at evergy point of overlap region.
also e is non zero so potential is not same at all points.
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