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

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

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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).

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  • 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 .

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