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!

Homework Help: Applying amperes law and faradays law to a solenoid and energy density

  1. Dec 14, 2009 #1
    This isn't really a homework problem, I just need to know how to do a problem similar to this one for the final and I don't want to fail, so I posted it here.

    A solenoid with n turns per unit length, length l and radius a (l>>a) has a current I(t)==Io sin(wt) [w is omega], where I and w are constant.
    a) using ampere's law calculate the magnetic field inside the solenoid.
    b) use faraday's law to calculate the induced electric field around the edge of the solenoid
    c) calculate the energy density due to the electric and magnetic field inside the solenoid.

    BL=uNI
    ∇xE= -(dB/dt) <--partial derivative of mag field
    U=(εo/2)*E^2+(1/2*uo)*B^2

    a) For the first part I know that BL=uNI so I tried just getting B=u*n(Iosin(wt)) but there must be more to it.
    b) so if that is true do I just stick that into equation 2 and solve for E
    c) and if both of those are right, do I just stick them in equation 3 or is there more I have to do for that one too?
     
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

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