Direction of force on a current-carrying conductor in a magnetic field Which rule should be used to determine the direction of the mechanical force on a straight conductor carrying current when placed in a magnetic field?

Difficulty: Easy

Correct Answer: Fleming's left hand rule

Explanation:

Introduction / Context:Electromechanical energy conversion devices (motors) rely on the force experienced by a current-carrying conductor in a magnetic field. Correctly identifying the force direction is a foundational skill in electrical engineering and physics.

Given Data / Assumptions:

  • Straight conductor with current I lies in a magnetic flux density B.
  • Force direction must be identified using standard hand rules.
  • Conventional current direction is assumed.

Concept / Approach:Fleming’s left-hand rule is used for motors (force), while Fleming’s right-hand rule is used for generators (induced EMF). The corkscrew (or right-hand grip) rule gives the direction of the magnetic field around a current but not the mechanical force direction. The motor rule aligns thumb = force (motion), first finger = magnetic field (B), and second finger = current (I).

Step-by-Step Solution:Identify the need: force on a current-carrying conductor.Recall: left hand → motor/force; right hand → generator/EMF.Use left-hand orientation: First finger to B, second finger to I, thumb gives force.Therefore, choose Fleming’s left hand rule.

Verification / Alternative check:Lorentz force density f = J × B gives the same result; Fleming’s rule is the mnemonic for the vector cross product direction in practical problems.

Why Other Options Are Wrong:Right-hand rule addresses induced EMF direction; corkscrew rule gives B around a wire; “Any of the above” is incorrect because each rule has a distinct purpose.

Common Pitfalls:Mixing up left vs right-hand mnemonics; using corkscrew rule to infer force instead of field direction.

Final Answer:Fleming's left hand rule

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