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