finding the magnetic field at center of a square loop

lundi 28 avril 2014

My textbook says that at the center of a square conducting wire of length ω, the magnetic field is:



B=[itex]\sqrt{2}[/itex]μ[itex]_{0}[/itex]I/([itex]\pi[/itex]R)



I am not sure how to calculate this...?



Because the Biot Savart law has a closed loop integral, we do not use piecewise addition of line integrals to find the magnetic field, as we would to find the magnetic force, is that correct? Do we treat the square loop as if it were a straight wire of total length 4ω?





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