A closed circuit is in the form of a regular hexagon of side a. If the circuit c

Question

A closed circuit is in the form of a regular hexagon of side a. If the circuit carries current I, What is magnetic induction at the cetre of the hexagon?

Options:

A . √3μ0iπa

B . √3μ0iπa

C . zero

D . None

Answer: Option A
:
A

α = β B = 6 [\frac{μ_{i}}{4 π r} (s i n α + s i n β)] = 6 [\frac{μ_{o} i}{4 π r} 2 s i n 30] = \frac{6 μ_{0} i \times 2 \times \frac{1}{2}}{2 π \sqrt{3} a} h e r e, r = \sqrt{a^{2} - \frac{a^{2}}{4}} = \sqrt{3} \frac{a}{2}

= \frac{\sqrt{3} μ_{0} i}{π a}

A Closed Circuit Is In The Form Of A Regular Hexagon Of Side...

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