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Rotation Rate of a Generator Coil

  1. Feb 7, 2010 #1
    1. The problem statement, all variables and given/known data
    If the rotation rate of a generator coil is doubled, what happens to the peak emf?

    2. Relevant equations

    3. The attempt at a solution

    I think it stays the same. Am i right?
  2. jcsd
  3. Feb 7, 2010 #2
    no. look at the equation for induced emf...
  4. Feb 7, 2010 #3
  5. Feb 7, 2010 #4
  6. Feb 7, 2010 #5
    I dont even have a number in my word problem..How can I not use intuition..lol
  7. Feb 7, 2010 #6
    by doing it symbolically, and you do have a number: 2

    the new [tex]\omega[/tex] is twice that of the old [tex]\omega[/tex]

    [tex]V_{max}[/tex] is whenever the trig function on the right is equal to 1. Therefore, we can say this:
    [tex]V_{oldmax}=\omega BA[/tex]
    [tex]V_{newmax} =2\omega BA[/tex]
    Do you see a substitution?
    [tex]V_{newmax} =2V_{oldmax}[/tex]
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