An Analysis of Mutual Inductance between the Straight Conductor and the Conductor of Circular Arc

In an electric furnace, mutual inductance between the flexible cable and secondary bus, copper pipe (Both of them are regarded as the straight conductors.) is not able to neglected. There is no adequate paper about it except Momota's. In this paper, it is assumed that the flexible cable is regarded as a conductor of circular arc and mutual inductance between the straight conductor and the conductor of circular arc is analyzed by means of the Neumann formula. A few special cases are slso analyzed. The results are expressed by elementary functions.