npsm 새물리 New Physics : Sae Mulli

pISSN 0374-4914 eISSN 2289-0041


Research Paper

New Phys.: Sae Mulli 2020; 70: 667-674

Published online August 31, 2020

Copyright © New Physics: Sae Mulli.

Calculation of the off-axes Magnetic Field for Finite-length Solenoids

Taehun JANG1, Yun Kyung SEO2, Sang Ho SOHN*2, JoongWoo JUNG3

1Department of Physics, Kyungpook National University, Daegu 41566, Korea

2Department of Science Education, Graduate School, Kyungpook National University, Daegu 41566, Korea
3Haknam High School, Daegu 41420, Korea


Received: June 12, 2020; Revised: June 29, 2020; Accepted: June 29, 2020


In this study, we derived an approximate analytic function for the off-axis magnetic field of a finite-length solenoid by using the magnetic vector potential of a circular current loop. We verified that the derived analytic function reduced to a well-known magnetic field formula on the vertical axis of the solenoid and also inferred the magnetic field on the horizontal axis of the solenoid. Furthermore, we investigated the magnetic field at arbitrary points satisfying the approximate conditions through a simulation performed using Wolfram Mathematica.

Keywords: Magnetic field, Off-axes solenoid, Analytic function, Mathematical simulation

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