Question

An electric dipole consisting of charges +q and -q separated by a distance r, is kept symmetrically at the centre of an imaginary sphere of radius R (>r). Another point charge Q is also kept at the centre of the sphere. The net electric flux coming out of the sphere will be (a) (b) -(2q+Q) 4περ Eo (c) 2q+Q င်ပ o- (P) E0​

Answer 1

Using Gauss's law, the net electric flux through a closed surface is given by:

Φ = Q_in / ε0

where Φ is the electric flux, Q_in is the total charge enclosed by the surface, and ε0 is the electric constant.

In this case, we can consider the sphere as the closed surface. The electric dipole will produce electric field lines that pass through the surface, but these lines will be symmetric and cancel out each other's contribution to the net flux. Therefore, the only contribution to the flux will be from the point charge Q.

The charge enclosed by the surface is simply Q, so the net electric flux is:

Φ = Q / ε0

This result does not depend on the position of the electric dipole inside the sphere, as long as it is symmetrically placed at the center.