An infinite straight conductor carrying current 2i is split into a loop of radius r as shown in fig. The magnetic field at the centre of the coil is

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zero

$\frac{μ_{0}}{4 π} \frac{2 (π - 1)}{r}$

$\frac{μ_{0}}{4 π} \frac{(π + 1)}{r}$

$\frac{μ_{0}}{4 π} \frac{2 (π + 1)}{r}$

answer is D.

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Detailed Solution

Net magnetic field at O is zero because both the curve parts carrying equal current and produce magnetic field in opposite direction and due to the straight part magnetic field is zero as the center of the circle lies along the conductor.

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