Content deleted Content added
Undid revision 1223590750 by Jeaucques Quœure (talk) Previous version did not rely on knowing magnetic flux = Phi_B and read better |
Undid revision 1223662934 by XabqEfdg (talk) Newly added information about magnetic flux was indeed consistent with analogous Gauss' laws. |
||
Line 33:
{{Equation box 1
|indent =:
|equation = {{oiint|preintegral=<math>\Phi_B = </math>|intsubscpt=<math>\scriptstyle S</math>|integrand=<math>\mathbf{B} \cdot \mathrm{d}\mathbf{S} = 0</math>}}
|cellpadding= 15
|border
Line 41:
where {{math|''S''}} is any [[closed surface]] (see image right), and {{math|d'''S'''}} is a [[Vector (geometric)|vector]], whose magnitude is the area of an [[infinitesimal]] piece of the surface {{math|''S''}}, and whose direction is the outward-pointing [[surface normal]] (see [[surface integral]] for more details).
The integral and differential forms of Gauss's law for magnetism are mathematically equivalent, due to the [[divergence theorem]]. That said, one or the other might be more convenient to use in a particular computation.
| |||