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 (IdI) of a 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, Idl 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:

CONCEPT:

Biot - Savart's law gives the equation of magnetic field produced by the current carrying segment and it is written as;

$d\overrightarrow{B}=\frac{{\mu }_{o}Id\overrightarrow{I}\times \hat{r}}{4\pi r^2}$

Here we have B as the magnetic field, I is the current, and r is the distance.

EXPLANATION:

Statement I - Biot-Savart's law gives us the expression for the magnetic field strength of an infinitesimal current element (IdI) of a current carrying conductor only which is written as;

$d\overrightarrow{B}=\frac{{\mu }_{o}Id\overrightarrow{I}\times \hat{r}}{4\pi r^2}$

Therefore this statement is true.

Statement II -  In statement II is given that 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, Idl while the latter being produced by a vector source, q. The Biot- Savart's law is the equation of the magnetic field produced by the current carrying conductor whereas in coulomb's law we find the force of attraction and repulsion between the two masses. Biot-Savart's law is not analogous to Coulomb's inverse square law of charge q.

Therefore, this statement is false.

Hence, option 4) is the correct answer.