Analysis of the current induced by the motion of a magnet pendulum with a large initial angle

Abstract

Abstract In this study, formulae for the waveform of an induced current, I t , generated when a magnet traverses along a rectangular coil with a narrow width were theoretically obtained considering the relative motion of the magnet and coil. Consequently, an experiment was performed under experimental conditions that matched the formulas, and the results obtained were compared with the theoretical predictions. The dependence of I ( t ) on the initial angle ϕ 0 of the magnet pendulum and the width w of the rectangular coil was found to be consistent with the theoretical prediction. Thus, the formulae obtained in this study are expected to be useful in addressing temporal variations in the waveform of the induced current produced by a magnet moving in a polar coordinate space.