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Torque on a current loop about a hinge line

  1. Nov 20, 2009 #1
    1. The problem statement, all variables and given/known data

    A rectangular 20 turn loop that is 12 by 5 cm carries a current of 0.10A. It's hinged at one of the longer 12cm sides. It's mounted with its plane at an angle of 33 degrees to the direction of a magnetic field of 0.50T. What's the torque about the hinge line?

    2. Relevant equations

    T = iAbsin(theta)

    3. The attempt at a solution

    I guess my question is about the significance on the hinge line. The example in my book hinges on the z axis located in the middle of loop, so it uses the formula:

    t = 2iaB (b/2) sin (theta)
    where b/2 sin(theta) is decribed as the "moment arm". When it is hinged on the left longer side instead of the z axis, does this mean the equation would become 2iaB b sin (theta) instead?
     
  2. jcsd
  3. Nov 20, 2009 #2

    tiny-tim

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    Hi theowne ! :smile:

    (have a theta: θ :wink:)
    There's various ways of looking a this (including actually working it out from scratch :wink:), but the easiest is probably to add a second loop next to the first, making one big loop with a hinge in the middle! :smile:
     
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