An infinitely long wire carrying current $I$ is along $Y$ axis such that its one end is at point $A(0, b)$ while the wire extends upto $+ \infty .$ The magnitude of magnetic field strength at point $(a, 0)$
Diffcult
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$\mathrm{B}=\frac{\mu_{0}}{4 \pi} \frac{\mathrm{i}}{\mathrm{a}}(\sin 90+\sin (-\theta))$
$=\frac{\mu_{0}}{4 \pi} \frac{\mathrm{i}}{\mathrm{a}}(1-\sin \theta)=\frac{\mu_{0}}{4 \pi} \frac{\mathrm{i}}{\mathrm{a}}\left(1-\frac{\mathrm{b}}{\sqrt{\mathrm{a}^{2}+\mathrm{b}^{2}}}\right)$
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