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Problem 28-53 Halliday and Resnick 9th Edition Prove that the relation τ=NiABSin(θ) holds not only for...

Problem 28-53 Halliday and Resnick 9th Edition Prove that the relation τ=NiABSin(θ) holds not only for the rectangular loop of Figure 28-19 but also for a loop of arbitrary shape. (Hint: Replace the loop of arbitrary shape with an assembly of long, thin, approximately rectangular loops that are nearly equivalent to the loop of arbitrary shape as far as the distribution of current is concerned.) I don't see how to construct the assembly of loops so that it is approximately equivalent in current distribution to the arbitrary loop. What for example, is the current in each loop of the assembly?

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