A symmetric star conducting wire loop is carrying a steady state … - Vidyadip

MCQ

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

✓
$\frac{\mu_0 \mathrm{I}}{4 \pi \mathrm{a}} 6[\sqrt{3}-1]$
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
$\frac{\mu_0 \mathrm{I}}{4 \pi \mathrm{a}} 3[2-\sqrt{3}]$

✓

Answer

Correct option: A.

$\frac{\mu_0 \mathrm{I}}{4 \pi \mathrm{a}} 6[\sqrt{3}-1]$

a
$B=12\left(\frac{\mu_0 I}{4 \pi a}\right)(\sin 60-\sin 30)$

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