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) is

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$\frac{μ_{0} i}{4 πa} (1 - \frac{b}{\sqrt{a^{2} + b^{2}}})$

$\frac{μ_{0} i}{4 πa} (\frac{b}{\sqrt{a^{2} + b^{2}}})$

$\frac{μ_{0} i}{4 πa} (1 + \frac{b}{\sqrt{a^{2} + b^{2}}})$

None of these

answer is B.

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Detailed Solution

$\begin{array}{l} B = \frac{μ_{0}}{4 π} \frac{I}{a} [\sin 90^{0} + \sin (- θ)] = \frac{μ_{0}}{4 π} \frac{I}{a} (1 - \sin θ) \\ = \frac{μ_{0}}{4 π} \frac{I}{a} (1 - \frac{b}{\sqrt{a^{2} + b^{2}}}) \end{array}$

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