NEET · Physics · STD 12 - 4. Moving charges and magnetism
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
- B 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 & Solution
Correct Answer
(B) Statement \(I\) is correct and Statement \(II\) is incorrect
Step-by-step Solution
Detailed explanation
\(d \overrightarrow{ B }=\frac{\mu_{0}( Id \vec{\ell} \times \overrightarrow{ r })}{4 \pi r ^{3}}\) 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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