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Difficulty: MediumFundamentals of Electromagnetism and Induction

A straight copper conductor moved parallel to the lines of a uniform magnetic field develops an induced electromotive force across its terminals.

Answer: Answer

Answer

False
The statement is false because electromagnetic induction requires a conductor to cut across magnetic lines of force. When the direction of motion is parallel to the magnetic flux lines, zero flux is cut, resulting in zero induced electromotive force.

Step-by-Step Solution

1
Identify the physical requirement for motional electromagnetic induction in a conductor.
Electromagnetic induction occurs when a conductor moves across magnetic lines of force, represented by the relationship E=B⋅l⋅v⋅sin⁡θE = B \cdot l \cdot v \cdot \sin\theta.
A magnetic force acts on charge carriers only when there is a component of velocity perpendicular to the magnetic field vector.
2
Determine the angle of motion relative to the magnetic field lines.
Since the conductor moves parallel to the magnetic field lines, the angle θ=0∘\theta = 0^\circ, and sin⁡(0∘)=0\sin(0^\circ) = 0.
Parallel motion means the conductor cuts zero magnetic flux lines per unit of time.
3
Calculate the resulting induced electromotive force (EMF).
The induced voltage is zero, confirming the statement is false.
Without cutting magnetic flux lines, no potential difference can be established between the conductor ends.

Key Concept

Motional electromagnetic induction requires cutting across magnetic flux lines; movement parallel to magnetic field lines produces zero induced voltage.
Estimated Time:45s
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Topics

Fundamentals of Electromagnetism and Induction

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