Question

The magnetic induction field at the centre C of
the wire which is in the shape as shown in figure carrying current ${}^{\prime }{i}^{\prime }$ is

• A. $\frac{{\mu }_{o}i}{4\pi r}(1+\pi )$
• B. $\frac{{\mu }_{o}i}{2\pi r}(1+\pi )$
• C. $\frac{{\mu }_{o}i}{\pi r}(1+\pi )$
• D. $\frac{{\mu }_{o}i}{r}(1+\pi )$

Answer 1

The correct option is D $\frac{{\mu }_{o}i}{r}(1+\pi )$

$\left|\overline{B}\right|=\frac{{\mu }_{0}I}{2\pi r}(1+\pi )$

${\mu }_0$

$I=2A$

$\left|\overline{B}\right|=\frac{{\mu }_0}{2\pi .3}=\frac{{\mu }_{0}i}{r}(1+\pi )$