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Strength of magnetic field at a point

  1. Mar 26, 2009 #1
    1. The problem statement, all variables and given/known data

    http://img291.imageshack.us/img291/9572/picture2ehv.png [Broken]

    What is the strength of the magnetic field at point P?

    The answer is 7.9×10^−5 T.

    However, I used the equation B = u*I/(2*pi*d) and keep getting 5*10^-5 T.


    2. Relevant equations
    B = u*I / (2*pi*d)


    3. The attempt at a solution

    Nearer wire:
    B = uI/(2*pi*d) = (1.257*10^-6)(5.0)/(2*pi*0.02) = 0.00005 T
    Further wire:
    B = uI/(2*pi*d) = (1.257*10^-6)(5.0)/(2*pi*0.01) = 0.0001 T
    Total B:
    B = 0.0001T - 0.00005T = 0.00005 T

    What am I doing wrong?
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Mar 26, 2009 #2

    alphysicist

    User Avatar
    Homework Helper

    Hi erinec,

    This formula gives the magnitude of the B-field of a long straight wire (at a distance d away from the wire).

    But in this problem you don't have straight wires creating the magnetic field at P; the wires are semicircles. Look through your textbook again and see if you can find a formula that better fits this situation.
     
    Last edited by a moderator: May 4, 2017
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