
An isolated solid metal sphere A of radius
has charge
, as illustrated in the figure below.
A point P is distance
from the surface of the sphere. Determine an expression that includes the terms
and
for the electric field strength
at point P.
A second identical solid metal sphere B is now placed near sphere A. The centres of the spheres are separated by a distance
, as shown in the figure below.
Point P lies midway between spheres A and B. Sphere B has charge
. Explain why
the magnitude of the electric field strength at P is given by the sum of the magnitudes of the field strengths due to each sphere
the electric field strength at point P due to the charged metal spheres is not, in practice, equal to
, where
is the electric field strength determined in (a).