Which one of the following options represents the magnetic field $\vec{B}$ at $O$ due to the current flowing in the given wire segments lying on the $x y$ plane?
IIT 2022, Diffcult
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$\overrightarrow{ B }=\frac{\mu_0 I }{4 \pi L } \sin 45^{\circ}(-\hat{ k })+\frac{\mu_0 I \pi}{4 \pi \frac{ L }{2}}(-\hat{ k })+\frac{\mu_0 I }{4 \pi \frac{ L }{4}} \times \frac{\pi}{2}(-\hat{ k })$
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