Skip over navigation

Magnetic Field Theory

Terms and Formulae

Introduction and Summary

A Brief Review of Vector Calculus

Terms

Divergence  -  A property of a vector field that measures its tendency to move away from a given point.
Curl  -  A property of a vector field that indicates the amount and direction of rotational motion in the field.

Formula

 
The divergence of a vector field

÷F = + +    

 
Gauss' Theorem Mathematical equation relating volume and surface integrals using the divergence of a given function: F ·da = div F dv
 
The curl of a vector field curl F = - , - , -
 
Stokes' Theorem Mathematical equation relating line and surface integrals using the curl of a given function: F ·ds = curl F ·da
 
Equation for the line integral of a closed loop in a magnetic field B·ds =
 
Equation for the curl of any magnetic field curl B =
 
Equation for the divergence of any magnetic field div B = 0

Follow Us