Magnetic Field Theory
Terms and Formulae
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 |
|
+ 
+ 
| 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 |
