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!

Maximize the magnetic field in a solenoid

  1. Mar 31, 2010 #1
    1. The problem statement, all variables and given/known data
    Assuming we have equal volumes in both scenarios, which would maximize the magnetic field in a solenoid: a thick and short wire or a thin and long wire.

    2. Relevant equations
    B=(m)(constant)(I)/(2R)
    m= the number of layers of wire


    3. The attempt at a solution

    The answer is clearly a thin and long wire because of the equation B=unI, but I was suppose to use the equation I listed under "relevant equations". According to that equation, if we use a thicker wire, the number of layers of wire would increase but the radius would increase. So based on that equation, how am I suppose to realize that a long and thin wire maximizes the field?
     
  2. jcsd
  3. Apr 1, 2010 #2
    Re: Solenoid

    The equation listed looks like the one for a (flat) circular coil.
    The one used is for a long solenoid.
    The field in the centre of such a solenoid is given by
    B= μonI
    where n is the number of turns of wire per unit length.
    Your reasoning is correct if the question refers to a solenoid.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Maximize the magnetic field in a solenoid
Loading...