New formulas for calculating torque between filamentary circular coil and thin wall solenoid with inclined axis whose axes are at the same plane

Abstract

In this paper we present a novel approach for calculating the torque between two filamentary circular coils with inclined axes whose centers are at the same plane. In this approach we use Grover’s formula for the mutual inductance between two filamentary circular coils with inclined axes whose centers are at the same plane. The filament method is applied to the combination comprising a filamentary circular coil and a thin wall solenoid. As the comparative method we give the new formula for this coil’s combination which is derived from Chester Snow’s formula for two solenoids with inclined axes.