Physics - Magnetism Question with Solution | TestHub

The magnetic field at the centre of a circular arc of radius $r$ carrying current $I$ and subtending an angle $\theta$ at the centre is given by:

$B=\frac{{\mu }_{0}I}{4\pi r}\theta$

Given that the angle subtended by the arc is $\theta =\frac{\pi }{8}$.

Substituting the value of $\theta$, we get:

$B=\frac{{\mu }_{0}I}{4\pi r}\times \frac{\pi }{8}$

$B=\frac{{\mu }_{0}I}{32r}$

Answer: $\frac{{\mu }_{0}I}{32r}$