Question
Which factor does NOT affect the magnitude of motional EMF in a conductor?
The correct answer is
The resistance of the conductor
To determine which factor does NOT affect the magnitude of motional EMF in a conductor, we must first understand the formula for calculating motional EMF:
EMF = Bℓv sin(θ)
where:
- B is the magnetic field strength.
- ℓ is the length of the conductor.
- v is the speed of the conductor.
- θ is the angle between the conductor's direction of motion and the magnetic field.
Let's analyze the provided factors:
- The speed of the conductor: Since speed (v) is directly included in the formula, it does affect the magnitude of motional EMF.
- The length of the conductor: As the length (ℓ) is also part of the equation, it affects the magnitude of motional EMF.
- The resistance of the conductor: The formula for motional EMF does not involve the resistance of the conductor. Thus, resistance does not affect the magnitude of motional EMF.
- The angle between the conductor's velocity and the magnetic field: The angle (θ) affects the magnitude through the sine function. Therefore, it influences the motional EMF.
Given this analysis, the resistance of the conductor does NOT affect the magnitude of motional EMF.
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