What is the Contribution of Segments AB and CD to the Magnetic Field at Point O?

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SUMMARY

The discussion focuses on calculating the magnetic field contribution at point O from segments AB and CD of a circular conductor. The relevant equations used include B_x = (µ_0 * I) / 2R and B = μ_o/4π*Ι*L/R^2. The simplification of the magnetic field formula yields ((µ_0 * I) / 2) * ((1/0.6) +(1/0.4)), with the angle subtended by the segments at the center being π/3, allowing for the calculation of segment lengths using L = R*θ.

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Homework Statement


http://s619.photobucket.com/albums/tt272/babyazureyoshi/?action=view&current=014.jpg


Homework Equations


1) B_x = (µ_0 * I) / 2R at x = 0


The Attempt at a Solution


I know that segments BC and DA do not contribute to the magnetic field at O so all I need to know is the contribution for segments AB and CD. Using equation one, I simplified the formula to ((µ_0 * I) / 2) * ((1/0.6) +(1/0.4)).
 
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The relevant equation is for the circular conductor.
Ηere you have to use
B = μ_o/4π*Ι*L/R^2.
Since angle subtended by the segments at the center is π/3, you can find the lengths of the segments by using the formula L = R*θ
 

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