
Where $d$ is $\perp $ distance iron wire
$B=\frac{\mu_{0} i}{4 \pi d / \sqrt{2}} \times\left[\sin 90-\sin 45^{\circ}\right]$
$ = \frac{{\sqrt 2 {\mu _0}i}}{{4\pi d}}\left[ {1 - \frac{1}{{\sqrt 2 }}} \right]$
$ {B=\frac{\mu_{0} i}{4 \pi d}[\sqrt{2}-1]}$

$(A)$ If $I_1=I_2$, then B' cannot be equal to zero at the origin $(0,0,0)$
$(B)$ If $\mathrm{I}_1>0$ and $\mathrm{I}_2<0$, then $\mathrm{B}$ can be equal to zero at the origin $(0,0,0)$
$(C)$ If $\mathrm{I}_1<0$ and $\mathrm{I}_2>0$, then $\mathrm{B}$ can be equal to zero at the origin $(0,0,0)$
$(D)$ If $\mathrm{I}_1=\mathrm{I}_2$, then the $\mathrm{z}$-component of the magnetic field at the centre of the loop is $\left(-\frac{\mu_0 \mathrm{I}}{2 \mathrm{R}}\right)$