Two metal spheres of radii and are connected by a thin wire

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Two metal spheres of radii

a

and

b

are connected by a thin wire. Their separation is very large compared with their dimensions. The capacitance of this system is (1)

4\pi\epsilon_0ab

(2)

2\pi\epsilon_0(a+b)

(3)

4\pi\epsilon_0(a+b)

(4)

4\pi\epsilon_0\left(\frac{a^2+b^2}{2}\right)