Solved: PHYSICS Question for NEET

NEET PHYSICSMedium

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 (Idl) 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.

Statement I is incorrect but Statement II is correct.

Both Statement I and Statement II are correct.

Both Statement I and Statement II are incorrect.

Statement I is correct but Statement II is incorrect.

Step-by-Step Solution

Analyze Statement I: Biot-Savart's law mathematically defines the magnetic field $d\mathbf{B}$ produced only by an infinitesimal current element $I d\mathbf{l}$ . To find the field of a finite conductor, one must apply the principle of superposition (integration). Thus, the statement describes the law correctly. Statement I is Correct.
Analyze Statement II: The statement compares the sources of the fields.

Coulomb's Law: The source is electric charge $q$ . Charge is a scalar quantity.
Biot-Savart's Law: The source is the current element $I d\mathbf{l}$ . Because it has direction (along the tangent to the conductor), the current element is a vector quantity.
Comparison: Statement II claims $Idl$ is scalar and $q$ is vector. This is the reverse of the truth. Statement II is Incorrect.

Conclusion: Statement I is correct, but Statement II is incorrect .

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