Question

An element $\Delta l$ = $\Delta xI$ is placed at the origin (as shown in figure) and carries a current $l=2A.$ Find out the magnetic field at a point $P$ on the $Y-$ axis at a distance of $1.0m$ due to the element $x=wcm$. Also, give the direction of the field produced.

Answer 1

magnetic field at p

dB =$\frac{{\mu }_{0}I\times dl\times sin\theta }{4\pi r^2}$

=$\frac{{10}^{-7}\times 10\times {10}^{-2}}{25\times {10}^{-2}}$

=$4\times {10}^{-8}$T

the direction of the magnetic field is perpendicular to current direction