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February 18th, 2011, 11:21 AM  #1 
Senior Member Joined: Oct 2009 Posts: 895 Thanks: 1  Compare the magnetic field strength inside & outside the so
1  Compare the magnetic field strength inside and outside the solenoid ? 2  A magnetic field inside a solenoid is 0.2 T. what is the number of turns/cm of the solenoid if the solenoid carries a current of 10 A ? 3  The magnetic field a distance of 4 cm from a long straight current  carrying wire is 2 X 10 ^ 5 T . what is the current in the wire ? what is the magnetic field at distance of 12 cm from the wire ? 
February 18th, 2011, 12:59 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 464 Math Focus: Calculus/ODEs  Re: Compare the magnetic field strength inside & outside the
1.) If we assume the case of an ideal solenoid, i.e., the turns are closely spaced and the length is long compared to the radius, then we can assume the magnetic field inside is uniform and the field outside is zero. The uniform field strength inside will be given by: where: is a constant called the permeability of free space is the number of turns per unit length is the current 2.) Using the expression above, we find: 3.) The magnetic field strength outside a long straight currentcarrying wire is given by: where r is the distance from the center of the wire's cross section. Using the data given, we have: To find the field strength at 12 cm, we may use the fact that the field strength varies inversely as r, so if we triple the distance, the field strength is 1/3 the original. 

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