NEET 2022 · PhysicsStraight wire fieldPrevious Year Question
Given below are two statements. Statement I: Biot-Savart's law gives an 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. In light of the above statements choose the most appropriate answer from the options given below:
Answer: (C) Statement I is correct and Statement II is incorrect. Answer: (C) Solution: Statement I is correct: Biot-Savart's law dB = (μ₀/4π)(I dl × r̂)/r² gives the field due to an infinitesimal current element only; the total field requires integrating over the whole conductor.
- A.Both Statement I and Statement II are correct
- B.Both Statement I and Statement II are incorrect
- C.Statement I is correct and Statement II is incorrect✓
- D.Statement I is incorrect and Statement II is correct
Correct Answer
(C) Statement I is correct and Statement II is incorrect
Solution & Explanation
Answer: (C) Solution: Statement I is correct: Biot-Savart's law dB = (μ₀/4π)(I dl × r̂)/r² gives the field due to an infinitesimal current element only; the total field requires integrating over the whole conductor. Statement II is incorrect: the analogy is inverted. The current element Idl is a vector source, whereas the charge q in Coulomb's law is a scalar source. The statement swaps these. Therefore Statement I is correct and Statement II is incorrect.
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