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  4. A current carring loop consists of 3 identical quarter circular of radius R, lying in the positive quadrants of the x-y, y-z and z-x planes with their centres at the origin, joined together then magnitude of magnetic field at origin is

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Q. A current carring loop consists of 3 identical quarter circular of radius R, lying in the positive quadrants of the x-y, y-z and z-x planes with their centres at the origin, joined together then magnitude of magnetic field at origin is

Solution:

$B_{o}=\sqrt{3}B_{arc}$
$= \sqrt{3}\left(\frac{\mu_{o}i}{4\left(2R\right)}\right)$
$B_{o }= \frac{\sqrt{3}\mu_{o}i}{R}$

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