Path Integral Approach to Faraday's Law of Induction

Abstract

We derive a general form of the induced electromotive force due to a time-varying magnetic field. It is shown that the integral form of Faraday's law of induction is more conveniently written in the covering space. Thus the differential form is shown to relate the induced electric field in the n th winding number to the (n+1) th time-derivative of the magnetic field.