
An insulated metal sphere of radius
is situated in a vacuum. The charge
on the sphere may be considered to be a point charge at the centre of the sphere.
State a formula, in terms of
and
, for the potential
on the surface of the sphere.
Define capacitance and hence show that the capacitance
of the sphere is given by the expression

An isolated metal sphere has radius
. Use the expression in (a)(ii) to calculate the capacitance, in picofarad, of the sphere.