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March 28, 2017

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A wire has a length of 4.52 x 10-2 m and is used to make a circular coil of one turn. There is a current of 7.94 A in the wire. In the presence of a 8.04-T magnetic field, what is the maximum torque that this coil can experience?

  • Physics 2 - ,

    The magnitude of torque is M=p•B•sinα,
    where p is the magnetic moment, B is magnetic field.
    Max M=p•B.
    p=I•A, where A is the area of the loop.
    If the length of the wire is L=2πR, the radius is R=L/2π,
    the area is A= πR^2=L^2/4 π=1.626•10-4 (m^2)
    Max M= I•( L^2/4 π) •B= 7.94•1.626•10-4•8.04=0.01 N•m

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