Ampere's Magnetic Circuital Law: A Simple and Rigorous Two-Step Proof

Author:

Rajaraman K. C.1

Affiliation:

1. Department of Electrical and Communication Engineering, Institut Teknologi Brunei, Bandar Seri Begawan, Brunei Darussalam

Abstract

A new proof of Ampere's law from the Biot-Savart law is presented. In the first step, a physical interpretation of current as moving charges carrying their electric fields with them simplifies the derivation of the magnetic field of current in a straight infinitely long conductor. The m.m.f. of a finite electric circuit linking a magnetic path is synthesized from those of two infinitely long wires carrying equal currents in opposite directions, only one of them threading the path. This makes the second step rigorous, enabling a non-mathematical treatment of the magnetic effects of electric currents in free space.

Publisher

SAGE Publications

Subject

Electrical and Electronic Engineering,Education

Reference8 articles.

1. Carter G. W., The Electromagnetic Field in its Engineering Aspects, 2nd edn (Longmans, 1967), pp. 84–85, 94–96.

2. Hammond P. and Sykulski J. K., Electromagnetism: Physical Processes and Computation (Oxford University Press, Oxford, 1995), pp. 48–51, 58–60, 90–92.

3. Oatley C. W., Electric and Magnetic Fields: An Introduction (Cambridge University Press, Cambridge, 1976), pp. 66–70, 74–75.

4. Duffin W. J., Electricity and Magnetism, 4th edn (McGraw-Hill, London, 1990), pp. 195–196.

5. Christopoulos C., An Introduction to Applied Electromagnetism (John Wiley & Sons, Chichester, 1995), pp. 61–62, 65–66.

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3