Conducting object in the presence of a variable magnetic field

A numerical method is proposed to determine vector potential and gradient of scalar potential inside a conductor in the presence of a magnetic field that exhibits harmonic variations with time. The problem is reduced to the solution of the Helmholtz equation in a conducting object under the condition that the normal component of the right-hand side of equation on the conducting surface is zero. An iterative procedure is proposed for the solution of the original problem. First, the surface charge distribution that satisfies the boundary condition for the vector potential on the conducting surface is found, and, then, the next approximation for the vector potential is obtained with the aid of the Poisson equation. The method is illustrated using numerical experiments.