A polygon shaped wire is inscribed in a circle of radius \( R \). T...

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A polygon shaped wire is inscribed in a circle of radius \( R \). The magnetic induction at the centre of polygon, when current flows through the wire is
(a) \( \frac{\mu_{0} n I}{2 \pi R} \tan \left(\frac{2 \pi}{n}\right) \)
(b) \( \frac{\mu_{0} n I}{2 \pi R} \tan \left(\frac{4 \pi}{n}\right) \)
(c) \( \frac{\mu_{0} n I}{2 \pi R} \tan \left(\frac{\pi}{n}\right) \)
(d) \( \frac{\mu_{0} n I}{2 \pi R} \tan \left(\frac{\pi}{n^{2}}\right) \)
\( \mathrm{W} \)
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