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

Answer: (B)

2:1

Answer 2

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): $2:1$