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 $\theta =\frac{\pi }{2}$.

Substituting the value of $\theta$ in the formula:

$B=\frac{{\mu }_{0}I}{4\pi R}\times \frac{\pi }{2}$

$B=\frac{{\mu }_{0}I}{8R}$

Answer: $\frac{{\mu }_{0}I}{8R}$