Question

Two spherical conductors A and B of radii a and b(b > a) are placed concentrically in the air. B is given a charge +Q and A is earthed. The equivalent capacitance of the system is ______.

Options

• `4piepsilon_0 ["ab"/"b - a"]`

• `4piepsilon_0 ["a + b"]`

• `4pi epsilon_0 "b"`

• `4pieepsilon_0 ("b"^2/"b - a")`

Answer 1

Two spherical conductors A and B of radii a and b(b > a) are placed concentrically in the air. B is given a charge +Q and A is earthed. The equivalent capacitance of the system is `underline(4pieepsilon_0 ("b"^2/"b - a"))`.