Research of the Problem for the Current-carrying Circular Coil in Non-uniform Magnetic Field

Abstract

There were three stages had been carried out for solving the questions. The questions were the ampere force, the torque, and the work of the current-carrying circular coil in non-uniform magnetic field. The first stage was that the simple question of the ampere force, the torque, and the work of the current-carrying square coil in non-uniform magnetic field had been obtained. The second stage was that the limit analysis method had been put forward. The method had three steps. The first step was to evaluate the limit value of the parameter in limit situation. The second step was to get the exact solution in generation situation. The third step was to verify the exact solution with the limit value of the parameter in limit situation. The finally stage was that the diagrams were shown for the complex by numerical integration. The integrations of the torque and the work were not integrable. The conclusions on comparing of the diagrams for the square coil and the circular in torque and work were noticeable. The limit analysis method and the numerical method were suit for many complex questions those were not integrable.