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Find the EMF in the loop as a function of time.

  1. Apr 18, 2012 #1
    1. The problem statement, all variables and given/known data

    electromagnetic field

    2. Relevant equations

    E=hv

    3. The attempt at a solution

    I know that t is the variable and h1 and h2 I and I2 are considered given all we are doing is doing the algebra set up but not sure how to show this exactly.?
     

    Attached Files:

  2. jcsd
  3. Apr 18, 2012 #2
    Recall the definition of the induced emf,

    [itex]\text{emf} = - \frac{d\Phi}{dt},[/itex]

    where the magnetic flux is defined as

    [itex]\Phi = \int \vec{B} \cdot d\vec{A}.[/itex]

    Your goal is to find the flux as a function of time (clearly it is a function of time, since the area of the loop is growing with time), and then insert that into the formula for the induced emf. So it's a two step process: evaluate the integral to obtain the flux, and then take its time derivative.
     
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