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Faraday's Law of Induction and wire loop

  1. Apr 1, 2007 #1
    1. The problem statement, all variables and given/known data
    A wire loop of radius 0.3m lies so that an external magnetic field of magnitude 0.30 T is perpendicular to the loop. The field reverses its direction, and its magnitude changes to 0.20 T in 1.5s. Find the magnitude of the average induced emf in the loop during this time.

    2. Relevant equations
    [tex] \varepsilon_{avg} = \frac{-\Delta \Phi_{B}}{\Delta t}[/tex]

    [tex]\Phi_{B}=BAcos \theta [/tex]

    3. The attempt at a solution
    [tex]A=\pi r^{2}=\pi (0.30m)^{2}= 0.09\pim^{2}[/tex]

    [tex]0s: \Phi_{B}=BA cos \theta =(0.30T)(0.09\pi m^{2}) = 0.0848 T*m^{2}[/tex]

    [tex]1.5s: \Phi = -(0.20T)(0.09\pi m^{2})= -0.05655 T*m^{2}[/tex]


    The correct answer, however, is 94 mV??
    Last edited: Apr 1, 2007
  2. jcsd
  3. Apr 1, 2007 #2
    Nvm, I found my mistakes. Just some arithmetic errors :grumpy:
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