{'fraction_non_alphanumeric': 0.007590132827324478, 'fraction_numerical': 0.0, 'mean_word_length': 4.739130434782608, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Analytic expressions for the Lorentz force and torque on a line current with arbitrary orientation due to a cuboidal permanent magnet

This paper concerns the analysis of the force and torque between a rectangular coil with arbitrary orientation and a cuboidal permanent magnet. An analytic solution for the Lorentz force and torque on a line current is presented and the results for a rectangular coil are obtained by meshing the cross-section of the coil. The method presented will be used in the design of a planar actuator.