1. Limited time only! Sign up for a free 30min personal 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!

Repeat Q: Ignore. Show what the magnitude of induced emf

  1. Nov 19, 2011 #1
    Show what the magnitude of induced emf

    1. The problem statement, all variables and given/known data

    Consider a magnetic field B = K(x3z2,0, -x2z3)sinωt in the region of interest, where K and ω are positive constants and t is variable time. Show that the magnitude of the induced emf around a circle R in the plane z = a with its center at x = 0, y = 0, z = a is:
    ε = (K/4)∏a3R4ωcosωt

    2. Relevant equations

    Fluxb = ∫B . dA

    3. The attempt at a solution

    Since the normal vector points in the k direction, we only have to worry about Bz.

    ∫Bzdydx. So -∫∫x2a3dydx.

    The make the change to polar:

    -aK3∫∫(rcosθ)2r dr dθ = -(K/4)a3R4∫cosθsinψt dθ.


    This doesn't get me anywhere.
     
    Last edited: Nov 19, 2011
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: Repeat Q: Ignore. Show what the magnitude of induced emf
Loading...