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  4. 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:

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Q. 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:

NEETNEET 2022Moving Charges and Magnetism

Solution:

$dB =\frac{\mu_{0}( Id \vec{\ell} \times \vec{r})}{4 \pi r ^{3}}$
As per Biot Savart law, the expression for magnetic field depends on current carrying element $Id \vec{\ell}$, which is a vector quantity, therefore, statement-I is correct and statement-II is wrong.