Match List - I with List - II.List - I (Laws) List - II (Applications) A. Ampere's law I. Force on a charge B. Biot's law II. Force due to a current carrying conductor C. Coulomb's law III. Electric flux density at a point D. Gauss's law IV. Magnetic flux density at a point
To match List - I (Laws) with List - II (Applications), we need to understand the fundamental concepts associated with each law:
- Ampere's Law: This is used to find the magnetic flux density at a point due to a current-carrying conductor. It relates magnetic fields to the electric current that produces them. Therefore, the correct application for Ampere's Law is IV. Magnetic flux density at a point.
- Biot's Law: In this context, this likely refers to the Biot-Savart Law, which describes the magnetic field generated by an electric current. It is used to compute the magnetic field (or magnetic force) due to a current. Hence, it best relates to II. Force due to a current carrying conductor.
- Coulomb's Law: This is utilized to calculate the force between two point charges. It describes the electrostatic interaction between electrically charged particles. Thus, it correlates with I. Force on a charge.
- Gauss's Law: This law is applied to determine the electric flux density at a point. It relates the distribution of electric charge to the resulting electric field. So, it aligns with III. Electric flux density at a point.
Therefore, the correct matching is:
A-IV, B-II, C-I, D-III
Let's see why the other options are incorrect:
- A-I is incorrect as Ampere's Law is not about force on a charge.
- B-I is incorrect because Biot's Law relates to the magnetic field due to a current, not directly to the force on a charge.
- C-III wrongly assigns Coulomb’s Law an application in electric flux density calculation, which is the domain of Gauss’s Law.
- D-IV incorrectly links Gauss's Law with magnetic properties, which is relevant to Ampere's Law.
Hence, the logic and reasoning confirm that A-IV, B-II, C-I, D-III is the correct answer.
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