A symmetric star shaped conducting wire loop is carrying a steady state current \( I \) as shown...

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A symmetric star shaped conducting wire loop is carrying a steady state current \( I \) as shown in the figure. The distance between the diametrically opposite vertices of the star is \( 4 a \). The magnitude of the magnetic field at the centre of the loop is:
(1) \( \frac{\mu_{0} I}{4 \pi a} 3[\sqrt{3}-1] \)
(2) \( \frac{\mu_{0} I}{4 \pi a} 6[\sqrt{3}-1] \)
(3) \( \frac{\mu_{0} I}{4 \pi a} 6[\sqrt{3}+1] \)
(4) \( \frac{\mu_{0} I}{4 \pi a} 3[2-\sqrt{3}] \)
(JEE Advanced 2017)
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