A hairpin like shape as shown in figure is made by bending a long current carrying wire. What is the magnitude of magnetic field at P which lies at the centre of the semicircle?

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A hairpin like shape as shown in figure is made by bending a long current carrying wire. What is the magnitude of magnetic field at P which lies at the centre of the semicircle?
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$\frac{μ_{0} i}{2 πr} (2 - π)$

$\frac{μ_{0} i}{4 πr} (2 + π)$

$\frac{μ_{0} i}{4 πr} (2 - π)$

$\frac{μ_{0} i}{2 πr} (2 + π)$

answer is B.

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Detailed Solution

B = \frac{μ_{0} i}{4 π r} + \frac{μ_{0} i}{4 r}

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