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Magnetic force on a circuit

  1. Apr 24, 2014 #1
    1. The problem statement, all variables and given/known data
    attachment.php?attachmentid=69003&stc=1&d=1398335923.png

    (Ans: A,B,C,D)

    2. Relevant equations



    3. The attempt at a solution
    The magnitude of force on the structure is given by

    $$|I(\vec{AC}\times \vec{B})|=I|\vec{AC}||\vec{B}|\sin(\pi/4)$$
    From the question, ##I=2\,A##, ##|\vec{AC}|=2\sqrt{2}\,m## and ##|\vec{B}|=2\,T##. Hence,
    $$|F|=2\times 2\sqrt{2}\times 2 \times \frac{1}{\sqrt{2}}=8\,N$$
    However, this is incorrect as per the answer key.

    Any help is appreciated. Thanks!
     

    Attached Files:

  2. jcsd
  3. Apr 24, 2014 #2
    What does the answer key say?
     
  4. Apr 24, 2014 #3
    I already stated the answers below the image. The correct choices are A,B,C,D.
     
  5. Apr 24, 2014 #4
    The key says they are all correct? I agree with you. A seems to be off by a factor 21/2
     
  6. Apr 24, 2014 #5
    Yes, all the options are correct. I already proved that B,C,D are correct, I was unsure about only the A option. Thanks dauto for the check! :)
     
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