Magnetic Field Due to Straight Current Carrying Wire

Practice Questions:

Question 11: difficult

A current I flows in 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 centre of polygon due to
one side of the polygon is :

1. \[tan\frac{\pi}{n} tesla\]

2. \[\frac{\mu_{0}I}{\pi R}\left[ tan\frac{\pi}{n} \right] tesla\]

3. \[\frac{\mu_{0}I}{2\pi R}\left[ tan\frac{\pi}{n} \right] tesla\]

4. \[\frac{\mu_{0}I}{2\pi R}\left[ cos\frac{\pi}{n} \right]\]

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