  We consider the minimum energy problem on the unit sphere $\mathbb S^{d-1}$
in the Euclidean space $\mathbb R^d$, $d\geq 3$, in the presence of an external
field $Q$, where the charges are assumed to interact according to Newtonian
potential $1/r^{d-2}$, with $r$ denoting the Euclidean distance. We solve the
problem by finding the support of the extremal measure, and obtaining an
explicit expression for the density of the extremal measure. We then apply our
results to an external field generated by a point charge of positive magnitude,
placed at the North Pole of the sphere, and to a quadratic external field.
