Give the differences between Biot-Savart law and Coulomb's law.

(N/A) The differences between Biot-Savart law and Coulomb's law are as follows:
$1$. Biot-Savart law relates to the magnetic field produced by a current element $I d\vec{l}$, whereas Coulomb's law relates to the electric field produced by a point charge $q$.
$2$. Biot-Savart law is a vector law because the magnetic field is perpendicular to both the current element $d\vec{l}$ and the position vector $\vec{r}$. Coulomb's law is a scalar law in the sense that the electric field is along the position vector $\vec{r}$ joining the charge to the point.
$3$. Biot-Savart law depends on the angle between the current element and the position vector $(\sin \theta)$, whereas Coulomb's law is independent of any angle.
$4$. The source of the magnetic field is a vector source $(I d\vec{l})$, while the source of the electric field is a scalar source (charge $q$).