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Given below are two statements :
Statement I : Biot-Savart's law gives us the expression for the magnetic field strength of an infinitesimal current element ($I\,d\vec{l}$) of the current carrying conductor only.
Statement II : Biot-Savart's law is analogous to Coulomb's inverse square law of charge $q$, with the former being related to the field produced by a scalar source, $I\,d\vec{l}$, while the latter being produced by a vector source, $q$.
In light of above statements choose the most appropriate answer from the options given below
A
Statement I is incorrect and Statement II is correct
B
Both Statement I and Statement II are correct
C
Both Statement I and Statement II are incorrect
D
Statement I is correct and Statement II is incorrect
Detailed Solution
By Biot-Savart's law, $d\vec{B} = \frac{\mu_0}{4\pi}\frac{I\,d\vec{\ell} \times \vec{r}}{r^3}$
It gives the magnetic field due to an infinitesimal current element $I\,d\vec{\ell}$ – Statement I is correct.
The current element $I\,d\vec{\ell}$ is a vector source, while charge q is a scalar source – so Statement II (which says the opposite) is incorrect.
So Statement I is correct and Statement II is incorrect.