Skip to main content
  1. Home
  2. Illustrations
  3. #27

Illustration Fourth Maxwell equation: Constant electric current generates B-field

Vierte Maxwell-Gleichung: Konstanter elektrischer Strom erzeugt B-Feld
Download

Share — copy and redistribute the material in any medium or format

Adapt — remix, transform, and build upon the material for any purpose, even commercially.

This illustration is free to use with indication of the copyright: universaldenker.org

A constant electric current \(I\) through a surface \(A\) generates a time-independent magnetic field \( \boldsymbol{B} \) which forms a vortex along the edge \(L\) of the surface. This experimental finding can be summarized in the following 4th Maxwell equation in integral form:\[ \oint_{L} \boldsymbol{B} ~\cdot~ \text{d} \boldsymbol{l} ~=~ \mu_0 \, I \]

This is the special case of the fourth Maxwell equation, when the electric field is time-independent (electrostatics, Ampere's law).

Details about the illustration

This content is also available in other languages:
Deutsch English
  • License: CC BY 4.0This illustration may be used with indication of the copyright!
  • Copyright: © 2020
  • This illustration was uploaded by FufaeV on .
  • This illustration was updated by FufaeV on .

Give Feedback

Hey, I'm Alexander FufaeV, the physicist and writer here. It is very important to me that you leave this website satisfied. But since I don't own a crystal ball, I'm dependent on your feedback. So I can correct mistakes and improve this content.

How satisfied are you?