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Divergence
A property of a vector field that measures its tendency to move away from a given point.
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Curl
A property of a vector field that indicates the amount and direction of rotational motion in the field.
Terms
Formula
| The divergence of a vector field |
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| Gauss' Theorem |
Mathematical equation relating volume and surface integrals using the
divergence of a given function:
F
·da = div Fdv |
| 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 |
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