Voltage around a loop, half inside a capacitor and half outside

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SUMMARY

The discussion centers on the concept of electromotive force (emf) in a loop that partially encompasses a capacitor, as explored in Griffiths' Electrodynamics. Participants agree that the integral of the electric field around the loop is zero due to the absence of an emf source, leading to no sustained current. The reasoning presented confirms that the initial redistribution of charge within the wire cancels the external field, resulting in no net emf throughout the loop. Thus, both the original solution and the alternative reasoning validate the conclusion that there is no emf present.

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  • Understanding of Griffiths' Electrodynamics concepts
  • Familiarity with electrostatic fields and their properties
  • Knowledge of electromotive force (emf) and its implications
  • Basic principles of charge redistribution in conductive materials
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  • Study the concept of electric field lines and their integration around closed loops
  • Learn about the implications of Gauss's Law in electrostatics
  • Explore the relationship between electric fields and potential differences in circuits
  • Investigate the behavior of capacitors in various circuit configurations
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RubinLicht
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Homework Statement


This is not a homework problem, I'm working through griffiths Electrodynamics on my own.
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Homework Equations


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when there is an emf source, since electrosatic fields integrate to zero around a loop

The Attempt at a Solution


The solution claims that since the integral of f (force per charge) around the a loop for any electrostatic field is zero, the emf is zero since that is the only field present.

However, when I thought about this problem, I reasoned that initially the charges in the wire would rapidly reorient themselves to cancel out the external field. and since the field is 0 through out the wire, and there isn't a source of emf that generates potential differences in the metal, the current is naturally zero. This is very different reasoning, and i don't think the solutions are valid. Can anyone confirm/deny please?
 

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The problem asks about "the emf in the loop". It's unclear what that means.
The reasoning offered explains why there should be no net emf in one complete trip around the loop, hence no sustained current. Your reasoning is that once the initial redistribution of charge settles down there is no net emf in any segment of the loop.
I see no contradiction, and both appear valid.
 
There is no source of emf anywhere within the loop so the current is obviously zero. Seems like what you reason and what the author reasons is the same. No emf!
 

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