What Determines the Magnitude of Induced EMF?

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The magnitude of induced EMF is primarily determined by the rate of change of magnetic flux or the motion of a conductor in a magnetic field, as described by Faraday's Law. In cases where there is no change in the magnetic field, motional EMF can be generated through the movement of a conductor. The discussion highlights the importance of understanding how motion relative to a magnetic field contributes to induced EMF. Clarification on the relationship between induced current and the factors influencing its magnitude is sought. Understanding these principles is crucial for grasping the fundamentals of electromagnetism.
Mariah
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I understand the direction compnent of this question. But I don't understand where the magnitude of the induced current came from? I'm assuming faradays law wasn't used as there wasn't a change in magnetic field?
 

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Look up "motional emf".
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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