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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 |