Physics - Magnetism Question with Solution | TestHub

Magnetic field due to long wire at $O$ point
$$B_1=\frac{{\mu }_0}{2\pi }\left(\frac{l}{R}\right)$$(upward) Magnetic field due to loop at $O$ point $B_2=\frac{{\mu }_0}{4\pi }\cdot \frac{I\cdot 2\pi R}{R^2}$ $\Rightarrow B_2=\frac{{\mu }_0}{2}\cdot \frac{I}{R}$ (in upward direction) Resultant magnetic field at centre $O$ $B=B_1+B_2$ $\Rightarrow B=\frac{{\mu }_{0}I}{2\pi \cdot R}(\pi +1)T$ Resultant magnetic field at centre $O$