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Mutual inductance

  1. Feb 26, 2009 #1
    1. The problem statement, all variables and given/known data

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    2. Relevant equations

    Φ = M*I
    Biot-Savart law
    Ampere's law

    3. The attempt at a solution

    I have the formula Φ = M*I, which means that to find the mutual inductance I simply need to find the magnetic flux through the top circuit due to the current in the bottom circuit. However, I don't yet have a solid grasp of Ampere's law. Is there a way to use Ampere's law in this situation, or am I going to have to grind it out with Biot-Savart?
     
  2. jcsd
  3. Feb 26, 2009 #2

    LowlyPion

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    Homework Helper

    Looks like you will have a double integral for each point along the second wire for all the contribution from points on the first, then integrated over its own length.

    See also:
    http://en.wikipedia.org/wiki/Inductance#Mutual_inductance
     
  4. Feb 26, 2009 #3
    Can I use Biot-Savart to find the magnetic field at some general point (x,y) in the plane, then integrate that over the area of the top loop to get flux?
     
  5. Feb 26, 2009 #4

    Redbelly98

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    Staff Emeritus
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    What's the B-field of a long straight wire?
     
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