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A symmetric star conducting wire loop is carrying a steady state current $\mathrm{I}$ as shown in figure. The distance between the diametrically opposite vertices of the star is $4 a$. The magnitude of the magnetic field at the center of the loop is
  • A$\frac{\mu_0 \mathrm{I}}{4 \pi \mathrm{a}} 6[\sqrt{3}-1]$
  • B$\frac{\mu_0 \mathrm{I}}{4 \pi \mathrm{a}} 6[\sqrt{3}+1]$
  • C$\frac{\mu_0 \mathrm{I}}{4 \pi \mathrm{a}} 3[\sqrt{3}-1]$
  • D$\frac{\mu_0 \mathrm{I}}{4 \pi \mathrm{a}} 3[2-\sqrt{3}]$
IIT 2017, Medium
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