Electric Charges And Fields

Question

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

1 : 4

4 : 1

1:2

2:1

Solution

2:1

straight E subscript straight A over straight E subscript straight B space equals space straight r subscript straight B over straight r subscript straight A space equals space 2 over 1