A current of 10 A is passing through a long wire which has a semicircular loop of radius 20 cm as shown in the figure below. The magnetic field produced at the centre of the loop is __________.

The magnetic field at the centre of the current-carrying circular loop is:

$B=\frac{1}{2}\frac{\left({\mu }_{0}i\right)}{2r}$

Where $\mu$ is permeability of free space, r=radius, N= number of turns of coil,i=current

Given,

i=10A, ${\mu }_0=4\pi x{10}^{-7}$ and r= 0.2 m

$\mathrm{B}=\frac{4\mathrm{\pi x}{10}^{-7}\mathrm{x}10}{2\mathrm{x}0.2\mathrm{x}2}$

$\mathrm{B}=5\mathrm{\pi } \mathrm{x} {10}^{-6}\mathrm{T}$

$\mathrm{B}=5\mathrm{\pi \mu T}$