Question

A current of $2\text{A}$ is flowing through a circular coil of radius $1\text{m}$.

Find the magnitude of magnetic field at the center of the circular coil.

​​​​​​​$[$1 Mark$]$

• A. $\frac{{\mu }_0}{2}$
• B. $2{\mu }_0$
• C. ${\mu }_0$
• D. $\frac{{\mu }_0}{2\pi }$

Answer 1

The correct option is C ${\mu }_0$

The magnitude of magnetic field at the center of a circular current carrying coil is given by,

$B=\frac{{\mu }_{0}i}{2r}=\frac{{\mu }_0\times 2}{2\times 1}$

$\Rightarrow B={\mu }_0\text{T}$