Changes

=The Maxwell Equations=

=The Maxwell Equations=

One the the most important applications of the concepts you have learned are the equations which describe classical electricity and magnetism.  These equations, called the [[Maxwell equations]] after [[James Clerk Maxwell]], are

One the the most important applications of the concepts you have learned are the equations which describe classical electricity and magnetism.  When we set <math>\mathbf{E} \ </math> as the [[electric field]],  <math>\mathbf{B} \ </math> as the [[magnetic field]], <math>\mathbf{D} \ </math> as the [[electric displacement field]], and <math>\mathbf{H} \ </math> as the [[magnetizing field]], then the equations describing these quantities are  

<math>\nabla \cdot \mathbf{D} = \rho</math>  

<math>\nabla \cdot \mathbf{D} = \rho</math>  

  \int_S \frac{\partial\mathbf{D}}{\partial t} \cdot \mathrm{d} \mathbf{A}</math>

  \int_S \frac{\partial\mathbf{D}}{\partial t} \cdot \mathrm{d} \mathbf{A}</math>

The four laws are called, respectively, Coulombs/Gauss' Law, absence of magnetic monopoles, Faraday's/Induction Law, and Ampère's Law.

The four laws are called, respectively, Coulombs/Gauss' Law, absence of magnetic monopoles, Faraday's/Induction Law, and Ampère's Law. Together, they are called the [[Maxwell equations]], after [[James Clerk Maxwell]].

{{MVCalc}}

{{MVCalc}}