Concepts Of Physics MCQ Edition [Volume 2]PhysicsGauss's Law
An electric dipole is positioned at the centre of a sphere. Choose the correct statements:
Options
- AThe electric field is non-zero at all points on the sphere
- BThe electric field is zero along a circle on the sphere
- CThe electric field is zero at every point on the sphere
- DThe electric flux through the sphere is zero
Correct answer
D. The electric flux through the sphere is zero
Step-by-step solution
The electric field due to a short dipole at a distance r from its centre is given by E = p 4 ₀ r^3 1 + 3 ^2 , where is the angle made by the position vector with the dipole moment. For any point on the sphere of radius r , the magnitude of the electric field is minimum at the equatorial plane ( = 2 ), where E = p 4 ₀ r^3 , which is non-zero. Thus, the electric field is non-zero at all points on the sphere. An electric dipole consists of two equal and opposite charges, +q and -q . The net charge enclosed by the sphe