Physics - Magnetism Question with Solution | TestHub

Distance of straight path from $O$

$=\frac{r}{\sqrt{2}}$

Hence, $B=B_1+B_2$

$=\frac{{\mu }_0}{4\pi }·\frac{2I}{\frac{r}{\sqrt{2}}}+\frac{{\mu }_0}{4\pi }\frac{2\pi I}{r}\left(\frac{1}{4}\right)$

$=\frac{{\mu }_0}{4\pi }·\frac{2I}{r}\left[\sqrt{2}+\frac{\pi }{4}\right]$