Decay of Electric Field between two plates

AI Thread Summary
The discussion focuses on the behavior of electric fields between charged plates and other geometries like spheres and wires. It clarifies that the electric field between infinite plates remains constant regardless of distance, while fields from charged spheres and wires do decay with distance. The approximation of infinite plates is valid for typical capacitor geometries, but as plate separation increases, the field strength diminishes. Participants emphasize the importance of understanding basic charge distributions, such as spherical, line, and sheet charges, for solving related problems. Overall, the key takeaway is that while the electric field between plates is constant, it varies for other charge configurations.
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Homework Statement



I was looking at
http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elesht.html
(scroll down a little on the link)



Homework Equations





The Attempt at a Solution



Would it be correct to say that the decay in the electric field between the plates is directly proportional to the distance between them? (No just proportional)
 
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What decay?
 
The decay in the magnitude of the electric field? In the way that as the field radiates out in a cylindrical way from a wire the field would be less the further it is from the wire.
 
No, the electric field of an infinite plate is a constant. It doesn't depend how far away from it you are. The magnitude doesn't change.

Obviously, the plates of a capacitor aren't infinite, but it's a good approximation for typical geometries. If you separate the plates enough, then the approximation is no longer very good and you would expect the field strength to fall off. To find exactly how it varies with distance is probably quite difficult.
 
Last edited:
Okay, thank you.

The question I have is;
What electric field distributions and 'decay with distance' do you get for a charged sphere, plate and wire?

So it would appear that the answer to the 'decay with distance' part of the question for all three is, "it does not".
 
No, that's not right. The field falls off as you move away from a sphere and, as you mentioned earlier, a wire.

If you look at the problems and examples in your course, you'll probably find that all the problems involve a spherical distribution of charge (includes point charges), a line of charge, or a sheet of charge — or some combination of those. They're the building blocks for solving problems, so your instructor probably just wants you to know the basic properties of these charge distributions.
 
Ok, thank you. Yes, I understand now.

Sorry, I'd misinterpreted your 2nd last post.
 
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