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Ampere's Law?

  1. Dec 13, 2008 #1
    Is there any way to use Ampere's Law [tex]\oint_{C}\beta d\ell = \mu_{0}I[/tex] to calculate teh magnetic field [tex]\beta[/tex] at a single point if there are no surfaces C such that [tex]\beta[/tex] is constant over the surface's perimeter?



    Edit: I mean solve symbolically, no estimation/splitting the integral up into discrete sums
    Last edited: Dec 13, 2008
  2. jcsd
  3. Dec 14, 2008 #2


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    Ampere's law at a point is the Maxwell equation for curl B~j.
    You then have to solve a differential equation for B.
  4. Dec 15, 2008 #3
    what is B~j?
  5. Dec 15, 2008 #4


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    Depending on the set-up, you may be better off using the Biot-Savart law instead. There may or may not be a way to get an expression for current density J depending on how the question is given.
  6. Dec 15, 2008 #5


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    Maxwell's equation is (Curl B)=k j. The constant k is different in different systems of units.
    By ~ I meant that (Curl B) was proportional to j.
  7. Dec 15, 2008 #6
    Oh ok Thanks
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