Question

Two uniformly charged spherical conductors, A and B of radii 5 mm and 10 mm are separated by a distance of 2 cm. If the spheres are connected by a conducting wire, then in equilibrium condition, the ratio of the magnitude of the electric fields at surface of the spheres A and B will be

• A. 1:2
• B. 2:1
• C. 1:1
• D. 1:4

Answer 1

The Correct Option is B

Spheres after connecting with a conducting wire :

\(σ_1R_1 = σ_2R_2\)

Then, \(E = \frac{σ }{ ∈_0}\)

Hence, the ratio of the magnitude of the electric fields at surface of the spheres A and B will be : 

\(⇒ \frac{E_1}{E_2}\)

= \(\frac{σ_1}{σ_2}\)

= \(\frac{R_2}{R_1}\)

= \(\frac{2}{1}\)

Hence, the correct option is (B): \(2:1\)