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Shouldn't Emf generated be Derivative of Flux?

  1. Sep 20, 2015 #1
    Hey, I don't understand why emf generated is not the first derivative. For example I have a graph of magnetic flux through a wire against time. I thought that emf generated was the rate of change of flux, however this doesn't work. Emf=-Dflux/Dtime . In this example I have a y=sinx curve for the magnetic flux through wire and the answer is y=-cosx, which is the integral. Thanks in advance
     

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  2. jcsd
  3. Sep 20, 2015 #2
    It's not the integral, its the negative (!) derivative with respect to time. You even posted the correct formula already. $$E = - \frac{d\,\Phi}{d\,t}$$ You need the minus sign due to Lenz's law.
     
  4. Sep 20, 2015 #3
    That was actually quite simple, thanks for your explanation
     
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