Question

Two spherical conductors A and B of radii 1mm and 2mm are separated by a distance of 5 cm and are uniformly charged. If the spheres are connected by a conducting wire, then at equilibrium condition, the ratio of the magnitude of the electric fields at the surface of spheres A and B is

• A. 4:1
• B. 1:2
• C. 2:1
• D. 1:4

Hint:

For spheres connected by a wire, their potentials equalize, and the electric field is inversely proportional to the radius for conductors.

Answer 1

The Correct Option is C

Since the spheres are connected by a conducting wire, the electric potential on both spheres will be the same. The electric field is inversely proportional to the radius, hence the ratio of the electric fields at the surface of the spheres will be 2:1.