1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Faraday Law problem

  1. Jan 8, 2009 #1
    1. The problem statement, all variables and given/known data

    A long solenoid of radius a , is driven by an alternating current , so that the field inside is sinusoidal: B(t)=B0cos(omega*t)z-hat. A circular loop of wire, of raduis a/2 and resistance R, is placed inside the solenoid and coaxial with it. Find the current induced in the loop , as a function of time.

    2. Relevant equations

    I=[tex]\epsilon[/tex]/R
    [tex]\Phi[/tex]=[tex]\int[/tex]B[tex]\cdot[/tex] da

    [tex]\epsilon[/tex]=[tex]\int[/tex]E[tex]\cdot[/tex]dl=[tex]\int[/tex](dB/dt)[tex]\cdot[/tex]da

    3. The attempt at a solution

    dB/dt=-omega*B0sin(omega*t)z-hat
    [tex]\epsilon[/tex]=[tex]\int[/tex]omega*B0sin(omega*t) da, since the area of a circle is pi*r2, da is just pi*r2

    I=omega*B0*sin(omega*t)*[tex]\pi[/tex]a2/(R)

    episilon is supposed to be the electromotive force BTW.
     
  2. jcsd
  3. Jan 9, 2009 #2
    Excuse me, but I think among 'da=pi*r^2', r should be a/2
     
  4. Jan 9, 2009 #3
    What about my remaining solutions?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Faraday Law problem
  1. Faraday's Law (Replies: 10)

  2. Faraday's law problem (Replies: 5)

  3. Faraday's law problem. (Replies: 3)

Loading...