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  • 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 <img alt="+\infty" src="https://learn.careers360.com/latex-image/?&

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

                            

Option: 1

\frac{\mu _{0}I}{4\pi a}\left [ 1+\frac{b}{\sqrt{a^{2}+b^{2}}} \right ]             


Option: 2

\frac{\mu _{0}I}{4\pi a}\left [ 1-\frac{b}{\sqrt{a^{2}+b^{2}}} \right ]


Option: 3

\frac{\mu _{0}I}{4\pi a}\left [ \frac{b}{\sqrt{a^{2}+b^{2}}} \right ]


Option: 4

None of these


Answers (1)

 

Magnetic Field Due to a Straight Wire -

B=\frac{\mu_{o}i}{4\pi r}(\sin\phi_{1}+\sin\phi_{2})

- wherein

 

 

B=\frac{\mu _{0}}{4\pi }\frac{i}{a}\left ( sin 90+sin\left ( -\theta \right ) \right )=\frac{\mu _{0}}{4\pi }\frac{i}{a}\left ( 1-sin\theta \right )

=\frac{\mu _{0}}{4\pi }\frac{i}{a}\left [ 1-\frac{b}{\sqrt{a^{2}+b^{2}}} \right ]

Posted by

Sumit Saini

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