Two infinite length wires are placed according to figure. Magnitude of magnetic field at point $M$ which is mid point of line joining the two wire
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field of both wire is perpendicular at point $^{\prime} \mathrm{M}^{\prime}$
$\mathrm{B}_{\mathrm{M}}=\sqrt{\left(\frac{\mu_{0} \mathrm{I}}{2 \pi \mathrm{a}}\right)^{2}+\left(\frac{\mu_{0} \mathrm{I}}{2 \pi \mathrm{a}}\right)^{2}}=\frac{\mu_{0} \mathrm{I}}{\sqrt{2} \pi \mathrm{a}}$
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