Analytical Lorentz Force Model Between 1-D Linear Currents in Arbitrary Relative Positions and Directions

We derive an analytical formula for the Lorentz force and torque between 1-D linear current elements in arbitrary relative positions explicitly without remaining integral. A circuit is represented as the links of linear elements, and the force and torque on an element are represented as equivalent nodal forces on either side of it. We then treat the circuit as a link mechanism. Furthermore, we con...