Abstract
A plane rotor, which is an electron constrained to move in a circular orbit, has time-dependent magnetic flux on its axis. By Faraday's law, an induced electric field acts on the electron. The induced electric field exerts a torque on the electron and thus changes its kinetic angular momentum. The induced electric field also does work on the electron and changes its energy. These changes are in agreement with generalised Ehrenfest theorems. The kinetic angular momentum and the energy of the electron depend on the instantaneous flux through the orbit. The Shrodinger equation for the plane rotor is solved exactly in a manifestly gauge-invariant way. The probability that the rotor is in an eigenstate of its energy operator is contrasted with the probability that the system is in an eigenstate of the unperturbed Hamiltonian.
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