Discuss similarities and differences of Biot-Savart law with Coulomb’s law

Similarities and differences of Biot-Savart's law with Coulomb's law are as below. Similarities :

$(1)$ Both depend inversely on the square of distance.

$(2)$ Both are long range.

$(3)$ The principle of superposition applies to both fields.

Thus, static electric field $\mathrm{E}=\frac{k \mathrm{Q}}{r^{2}}$

$\therefore \mathrm{E} \propto \mathrm{Q}$

Similarly for Biot-Savart law,

$\mathrm{B}=\frac{\mu_{0}}{4 \pi} \frac{\mathrm{I} d l \times \hat{r}}{r^{2}}$

$\therefore \mathrm{B} \propto \mathrm{I} d l$

Differences :

$(1)$ Magnetic field is produced due to vector component $\mathrm{I} d \vec{l}$. Whereas electric field is produced due to scalar component $d q$.

$(2)$ The electrostatic field is along the displacement vector joining the source and the field point, whereas, the magnetic field is perpendicular to current element $\mathrm{I} d \vec{l}$ and the plane containing the displacement vector $\vec{r}$.

$(3)$ Biot-Savart's law is depend on angle $(\sin \theta)$. The point on $\mathrm{I} d \vec{l}$ element be $\theta=0^{\circ}$ so that $\sin 0^{\circ}=0$ and no magnetic field on axial point whereas Coulomb's law does not depend on angle $\theta$.