Question

A circular loop of radius R carrigcurrent I lies in x-y plane with its centre at origin.The total magnetic flux through x-y plane is-?

Answer 1

$$\begin{gathered} Flux=Magneticfield\times area \\ flux=BA \\ B=\frac{{\mu }_{0}I}{2R} \\ A=\pi R^2 \\ Flux=\frac{{\mu }_{0}I}{2R}\times \pi R^2=\frac{{\mu }_{0}I\mathrm{\pi R}}{2} \end{gathered}$$