Off-axis magnetic fields of a circular loop and a solenoid for the electromagnetic induction of a magnetic pendulum

초록

In this study, two types of approximate analytic functions for the off-axis magnetic field (B) over right arrow (r, theta) of a circular loop and a finite-length solenoid are presented. The derived analytic functions reduce to a well-known magnetic field formula with respect to the vertical axis of the circular loop and the solenoidwhen theta = 0. In addition, we investigated two types of (B) over right arrow (r, theta) within the approximate conditions through a simulation performed using Wolfram Mathematica. The derived analytic functions can be used to determine the magnetic field (B) over right arrow (r, theta) at arbitrary points with large r and small. around a circular loop and a solenoid. They are helpful for investigating the electromagnetic induction that can be attributed to a magnet swinging over a coil or a solenoid.

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