Question

Current '$I$' is flowing in a conductor shaped as shown in the figure. The radius of the curved part is $r$ and the length of straight portion is very large. The value of the magnetic field at the center $O$ will be

• A. $\frac{{\mu }_{0}I}{4\pi r}(\frac{3\pi }{2}+1)$
• B. $\frac{{\mu }_{0}I}{4\pi r}(\frac{3\pi }{2}-1)$
• C. $\frac{{\mu }_{0}I}{4\pi r}(\frac{\pi }{2}+1)$
• D. $\frac{{\mu }_{0}I}{4\pi r}(\frac{\pi }{2}-1)$

Answer 1

The correct option is A $\frac{{\mu }_{0}I}{4\pi r}(\frac{3\pi }{2}+1)$

$B=\frac{{\mu }_{o}I}{4\pi r}+\frac{{\mu }_{o}I}{4\pi r}\frac{3\pi }{2}+0$

$B=\frac{{\mu }_{o}I}{4\pi r}(\frac{3\pi }{2}+1)$