An element `vec(Delta) = Delta x hati` is placed at the origin as shown (fig.) and carries a current I = 2 A . Find out the magnetic field at a point p on the y-axis at a distance of 1.0 m due to the element `Delta x = 1 cm`. Give the direction of the field produced.

Explanation

Here `dl = Delta x = 1 cm = 10^(-2) m, I = 2 A and r = 1.0 m`
Moreover `theta = 90^@`
`:.` Magnetic field `DeltaB = (mu_0)/(4pi) cdot (I dl sin theta)/(r^2) = (10^(-7) xx 2 xx 10^(-2) xx sin 90^@)/((1.0)^(2))`
`= 2 xx 10^(-9) T`
The direction of magnetic field is +z- axis.