A long curved conductor carries a current $I$ (I is a vector). A small current element of length $d l$, on the wire induces a magnetic field at a point, away from the current element. If the position vector between the current element and the point is $r$, making an angle with current element then, the induced magnetic field density; $d B$ (vector) at the point is $\left(\mu_{0}=\right.$ permeability of free space $)$