A current i flows through a closed loop as shown in the figure. If ...

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A current i flows through a closed loop as shown in the figure. If the part abc is a circular arc of radius \( R \) and the part ac is a straight wire, then the magnetic field at the centre \( \mathrm{O} \) is
(1) \( \frac{\mu_{0} \mathrm{i}}{2 \pi R}(\tan \theta-\theta) \)
(2) \( \frac{\mu_{0} \mathbf{i}}{\pi R}(\pi-\theta+\tan \theta) \)
(3) \( \frac{\mu_{0} \mathrm{i}}{2 \mathrm{R}}(\pi-\theta+\tan \theta) \)
(4) \( \frac{\mu_{0} \mathrm{i}}{2 \pi \mathrm{R}}(\pi-\theta+\tan \theta) \)
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