Assertion (A): The direction of force on a current-carrying conductor ...
- The assertion that the force on a current-carrying conductor in a magnetic field depends on the directions of both the current and the magnetic field is correct. This relationship is described by the right-hand rule for the force on a current-carrying conductor in a magnetic field.
- The reason that the force is maximum when the current is perpendicular to the magnetic field is also correct. This is a fundamental principle of electromagnetism.
- However, the reason does not directly explain why the assertion is true. While it is true that the force is maximum when the current is perpendicular to the magnetic field, this fact alone does not fully explain the dependence of the force on the directions of both the current and the magnetic field. Hence, Option B is the correct answer.
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Assertion (A): The direction of force on a current-carrying conductor ...
Assertion Analysis
The assertion states that the direction of force on a current-carrying conductor in a magnetic field is influenced by both the current's direction and the magnetic field's direction. This is indeed true. The force can be determined using Fleming's Left-Hand Rule, which states that if you align your thumb, forefinger, and middle finger perpendicular to each other, the thumb represents the direction of force, the forefinger the magnetic field, and the middle finger the current.
Reason Analysis
The reason provided indicates that when the current is perpendicular to the magnetic field, the force experienced by the conductor is at its maximum. This statement is also true, as the maximum force occurs when the angle between the current and magnetic field is 90 degrees. The force decreases as the angle decreases, reaching zero when the two directions align.
Relationship Between Assertion and Reason
While both the assertion and reason are true, the reason does not directly explain the assertion. The assertion encompasses a broader principle that includes how the force depends on both the direction of the current and the magnetic field. In contrast, the reason focuses only on the condition for maximum force, without addressing how both directions influence the force's direction.
Conclusion
Therefore, the correct choice is:
- Option B: Both Assertion and Reason are true, but Reason is not the correct explanation of Assertion.
This distinction clarifies that while related, the reasoning does not fully account for the assertion's broader implications.