Exact analytical solution for the losses in and forces on an induced conducting spheroid

An analytical solution is presented for the induced currents in highly conducting prolate and oblate spheroids due to the presence of an external axisymmetric inducing field produced by carrying-current circular turns. Exact analytical expressions are derived for the magnetic vector potential, the power losses and the forces acting upon the spheroids. The magnetic vector potential outside and inside the conducting spheroids is determined by solving the vector Laplace equation and the vector Helmholtz equation, respectively, using the method of separation of variables.