A current carrying wire \( A B \) of the length \( 2 \pi R \) is tu...

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A current carrying wire \( A B \) of the length \( 2 \pi R \) is turned along a circle, as shown in figure. The magnetic field at the centre \( \mathrm{O} \).
(A) \( \frac{\mu_{0} \mathrm{i}}{2 \mathrm{R}}\left(\frac{2 \pi-\theta}{2 \pi}\right)^{2} \)
(B) \( \frac{\mu_{0} \mathrm{i}}{2 \mathrm{R}}\left(\frac{2 \pi-\theta}{2 \pi}\right) \)
(C) \( \frac{\mu_{0} \mathrm{i}}{2 \mathrm{R}}(2 \pi-\theta) \)
(D) \( \frac{\mu_{0} i}{2 R}(2 \pi+\theta)^{2} \)
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