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Statement of a problem № 3822

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(a) A wire in the form of a polygon of n sides is circumscribed by a circle of radius a. If the current through the wire is i , show that the magnetic induction at the centre of the circle is given by B=n0ni/2piatan(pi/n) (b) Show that in the limit n -> 00 you get the expected result.

Solution:
(a)  A wire in the form of a polygon of n sides is circumscribed by a circle of

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