Does Moving Coils in Electromagnets Create Current? Explained

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Moving a coil through a magnetic field can induce an electromotive force (EMF) according to Faraday's Law of induction. If the coil is moved without rotation between the poles of an electromagnet, an EMF is generated due to the change in magnetic flux. This induced EMF can lead to an electric current in the coil, provided there is a closed circuit. The discussion emphasizes the importance of the coil's motion relative to the magnetic field lines, as cutting through these lines is crucial for current generation. Understanding these principles is essential for grasping electromagnetic induction.
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Homework Statement
A small coil is moved forward (without turning) between the poles of the electromagnet. Does an electric current develop in the coil? Explain the answer
Relevant Equations
Lenz's law
A small coil is moved forward (without turning) between the poles of the electromagnet. Does an electric current develop in the coil? Explain the answer
 

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Hi, according to the rules here in Physics Forums, you must write your attempt on the problem and then the other members here can give you hints and guide you to the solution.

So, anyway to get you started, according to Faraday's Law of induction do we have an EMF produced in the coil? Assume that the magnetic field in the region between the poles is approximately homogeneous.
If there is no EMF produced, what about the current? Will it be zero?
 
Have you come across the expression "when a conductor cuts lines of flux ..."?
 
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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