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Faraday's and Lenz's Law - square coil

  1. Feb 10, 2015 #1
    1. The problem statement, all variables and given/known data
    A square coil rotates around an axis passing through the center. It is inside a magnetic field of B= 0.6T uniform and constant. The side of the coil is a = 2cm, the resistance R is 0.1 ohm.

    The coil is powered by a generator that gives an emf = 0.2 + 0.24sin(ωt).
    The current during the motion of the coil is constant. Calculate i and ω.

    3. The attempt at a solution

    The induced emf is [itex]\epsilon_i = Ba^2\omega sin(\omega t) [/itex].

    I can't understand how to go on with the problem. I cannot understand why the current stays constant if both the intial emf and the induced emf changes as sin(ωt).

    Could you help me please?
    Thank you
  2. jcsd
  3. Feb 10, 2015 #2


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    Homework Helper

    the total emf is part from the generator (given) and part from being induced.
    For the current to be constant, these need to add to a constant emf (ie, be 180 deg out-of-phase) 0.2V.
    So, given its (ohmic) Resistance, what is I ?
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