6533b7d8fe1ef96bd1269836

RESEARCH PRODUCT

Analytical and Semi-Analytical Solutions for the Force Between Circular Loops in Parallel Planes

John T. Conway

subject

PhysicsArc (geometry)Classical mechanicsMathematical analysisElectrical and Electronic EngineeringClosed-form expressionCurrent (fluid)CoaxialCircular loopElectronic Optical and Magnetic Materials

description

Closed-form solutions are presented for the force between noncoaxial coplanar circular current loops. A semi-analytical solution is given for the case where the loops lie in parallel planes. Numerical results are given which cross check these solutions against each other and against an independently developed method. The closed form solution for the force between a circular loop and a coaxial circular arc segment is also given.

https://doi.org/10.1109/tmag.2013.2245912