Discussion Forum



1)

Two non- conducting spheres of radii R1 and R2 are 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

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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:

Option C,D

Explanation:

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For electrostatic field,

 Ep= E1+E2

  =   $\frac{\rho}{3\epsilon_{0}}C_{1}P+\frac{(-\rho)}{3\epsilon_{0}}C_{1}P$

  =  $\frac{\rho}{3\epsilon_{0}}(C_{1}P+PC_{2})$

  $E_{p}=\frac{\rho}{3\epsilon_{0}}C_{1}C_{2}$

 For  electrostatic potential: since the electric field is non zero so it is not equipotential