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: Magnetic Field of a Finite Solenoid

  1. May 6, 2014 #1
    The problem statement, all variables and given/known data
    Find the magnetic field generated at the center of a coil of wire with N turns, a radius of r, and a current I running through it

    Relevant equations
    B=μ0nI, where n=N/L (L is the total length of the coil)

    The attempt at a solution

    However, the correct answer is:

    Why is this? Thank you!
    Last edited: May 6, 2014
  2. jcsd
  3. May 6, 2014 #2
    The equation you have given I believe only applies to a "long" solenoid. This is a good approximation as you can see, but it isn't enough. Consider how we would find the magnetic field at the center of ring? Now consider how we would find the find at the center of a collection of rings. Is the answer the same? Should it be the same?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted