A current I flows through a thin wire shaped as regular polygon of n sides which can be inscribed in a circle of radius R. The magnetic field induction at the center of polygon due to one side of the polygon is

\[\frac{{{\mu }_{0}}I}{2\pi R}\left( \cos \frac{\pi }{n} \right)\]

\[\frac{{{\mu }_{0}}I}{\pi R}\left( \tan \frac{\pi }{n} \right)\]

\[\frac{{{\mu }_{0}}I}{4\pi R}\left( \tan \frac{\pi }{n} \right)\]

\[\frac{{{\mu }_{0}}I}{2\pi R}\left( \tan \frac{\pi }{n} \right)\]

A current I flows through a thin wire shaped as regular polygon of n s

1.	A current I flows through a thin wire shaped as regular polygon of n sides which can be inscribed in a circle of radius R. The magnetic field induction at the center of polygon due to one side of the polygon is
A.	\[\frac{{{\mu }_{0}}I}{\pi R}\left( \tan \frac{\pi }{n} \right)\]
B.	\[\frac{{{\mu }_{0}}I}{4\pi R}\left( \tan \frac{\pi }{n} \right)\]
C.	\[\frac{{{\mu }_{0}}I}{2\pi R}\left( \tan \frac{\pi }{n} \right)\]
D.	\[\frac{{{\mu }_{0}}I}{2\pi R}\left( \cos \frac{\pi }{n} \right)\]
Answer» D. \[\frac{{{\mu }_{0}}I}{2\pi R}\left( \cos \frac{\pi }{n} \right)\]