Ampere's Law

Written by Jerry Ratzlaff. Posted in Electromagnetics

Ampere's Law (Maxwell's fourth equation) states:

  • A flowing electric current (J) gives rise to a magnetic field that circles the current
  • A time changing electric flux density (D) gives rise to a magnetic field that circles the D field

formula

\( \bigtriangledown \;x\; H = \frac { \partial D} { \partial t} + J \)

Where:

\(\bigtriangledown \;x\;\) = divergence operator

\(D\) = electric displacement

\(H\) = magnetic field strength

\(J\) = electric current density

\(t\) = time