Given below are two statements: Statement I: Biot-Savart's law gi… - Vidyadip

MCQ

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:

A
Both Statement $I$ and Statement $II$ are incorrect
✓
Statement $I$ is correct and Statement $II$ is incorrect
C
Statement $I$ is incorrect and Statement $II$ is correct
D
Both Statement $I$ and Statement $II$ are correct

✓

Answer

Correct option: B.

Statement $I$ is correct and Statement $II$ is incorrect

b
$d \overrightarrow{ B }=\frac{\mu_{0}( Id \vec{\ell} \times \overrightarrow{ r })}{4 \pi r ^{3}}$

As per Biot Savart law, the expression for magnetic field depends on current carrying element $\operatorname{Id} \vec{\ell}$, which is a vector quantity, therefore, statement-I is correct and statement-II is wrong.

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