A current \( I \) flows along a thin wire shaped as a regular polygon with \( n \) sides which c...

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A current \( I \) flows along a thin wire shaped as a regular polygon with \( n \) sides which can be inscribed into a circle of radius \( R \). Find the magnetic induction at the centre of the polygon. Analyse the obtained expression at \( n \rightarrow \infty \).
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