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Wire Attracts Loop - Electromagnetic Unit

  1. May 10, 2015 #1
    1. The problem statement, all variables and given/known data

    A rectangular loop of wire is placed next to a straight wire, as shown above. There is a current I in both the straight wire and the loop. The dimensions shown in the figure are a, b = 2.2a, and c = 8a. What is the magnitude of the force on the loop? Express your answer in terms of I, a, and μ0.

    2. Relevant equations

    B = (μ0 * I)/(2pi*d)

    3. The attempt at a solution

    Wouldn't I just use the equation from above and just use the value for b as the distance (d) ?

    What is different in this problem that would require the equation to be different
     
  2. jcsd
  3. May 11, 2015 #2
    where is the figure?
     
  4. May 16, 2015 #3
    HW15_1.jpg

    Sorry, I forgot to put the figure up. Here it is!

    So another attempt at this solution is:

    F = I B L

    where B = mu0 I / 2 pi a where a is the distance between the wires

    so the final equation:

    F = I * mu0 I / 2 pi a * 2.2a

    where b = 2.2a is the length from the figure
     
  5. May 17, 2015 #4

    rude man

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    Gold Member

    There are two forces on the loop: one in one direction, the other in the other. So you need 2 equations. Figure out the net force on the loop.
     
  6. May 17, 2015 #5
    what are the forces which act on each segment of loop? are these forces balanced?
     
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