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Q. In the loop shown, the magnetic induction at the point $O$ isPhysics Question Image

KCETKCET 2012Moving Charges and Magnetism

Solution:

Net magnetic field at O
$B = B_{1}+B_{2} = \frac{-\pi/2}{2\pi}-\frac{\mu_{0}I}{2R_{1}}+\frac{\pi/2}{2\pi}\cdot\frac{\mu_{0}I}{2R_{2}}$
$= \frac{\mu_{0}I}{8}\left(\frac{R_{1}+R_{2}}{R_{1}R_{2}}\right)$