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

AI Thread Summary
Segments AB and CD are the only contributors to the magnetic field at point O, as segments BC and DA do not affect it. The magnetic field can be calculated using the formula B_x = (µ_0 * I) / 2R at x = 0, leading to a simplified expression of ((µ_0 * I) / 2) * ((1/0.6) +(1/0.4)). The relevant equation for a circular conductor is B = μ_o/4π*Ι*L/R^2, with the angle subtended by the segments at the center being π/3. The lengths of the segments can be determined using L = R*θ. Understanding these contributions is crucial for solving the magnetic field at point O.
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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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