Force on loop of wire pulled through magnetic field

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A loop of wire is being pulled through a uniform magnetic field, raising questions about the direction of the magnetic force acting on it. The discussion revolves around determining whether the force is directed left or right as the loop enters or exits the magnetic field. Participants are considering the effects of induced current and how it interacts with the magnetic field. The complexity arises from the need to treat the loop's behavior in relation to the magnetic field and the resulting forces on its sides. Understanding these dynamics is crucial for answering the multiple-choice question correctly.
brianfast
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Homework Statement



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1.A loop of wire is pulled with constant velocity v to the right through a region of space where there is a uniform magnetic field B directed into the page, as shown above. The magnetic force on the loop is
a.Directed to the left both as it enters and as it leaves the region
b.Directed to the right both as it enters and as it leaves the region
c.Directed to the left as it enters the region and to the right as it leaves
d.Directed to the right as it enters the region and to the left as it leaves
e.Zero at all times


This is a multiple choice question that I cannot figure out... This is a question for a test... but the teacher lost the key and has to redo the problems and I am helping him with it... but we are unsure about this question.

I'm not sure I can treat the loop as a particle, and it seems that if the loop induced a current, the forces would cancel out/not go left or right...

Thanks
 
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Think about this: which way does the current flow in the loop as it enters a region? What force does the magnetic field exert on each side of the loop?
 
B? 4char
 
No, not B.
 
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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