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Biot-Savart and a Square Loop

  1. Jul 27, 2011 #1
    1. The problem statement, all variables and given/known data

    A conductor in the shape of a square of edge length 0.28 m carries a current I = 17.0A. Calculate the magnitude of the magnetic field at the center of the square. Round your answer to three significant figures. Take the permeability of free space to be 4*pi*10^-7.

    2. Relevant equations

    L = length of one side of the square = 0.28 m
    I = current = 17 A
    Sin(theta2) = 45 degrees = sqrt(2)/2
    Sin(theta1) = -45 degrees = -sqrt(2)/2

    B = 4{[(mu*I)/(4*pi*L)] * (sin(theta2) - sin(theta1))}

    3. The attempt at a solution

    I think I've got it, but the website won't take my answer. Sorry for the lack of LaTex.

    Values for theta were obtained by forming two 45-45-90 triangles; those values are the distance from any side to the center.

    Plugging everything in, I get 4{[(4piE-7*17) / (4*pi*0.28)] * sqrt(2)} = 34.3 * 10^-6 T. However, this is incorrect. Have I made a calculation error? A concept error? This will be my 23rd try putting something into the website and I am tired of it.

    Thanks for any help.
     
  2. jcsd
  3. Jul 27, 2011 #2

    tiny-tim

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    hi 012983! :smile:

    i can't work out what formula you're using for the Biot-Savart law :confused:

    the angle should be the angle between the field and the plane of the loop (90°)

    and shouldn't there be an r2 somewhere?

    see http://en.wikipedia.org/wiki/Biot-Savart_law" [Broken]​
     
    Last edited by a moderator: May 5, 2017
  4. Jul 28, 2011 #3
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