Decay of Electric Field between two plates

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Homework Help Overview

The discussion revolves around the behavior of electric fields between charged plates, specifically addressing the concept of decay in electric field strength with distance. The subject area includes electrostatics and electric field theory.

Discussion Character

  • Conceptual clarification, Assumption checking, Mixed

Approaches and Questions Raised

  • Participants explore the relationship between electric field strength and distance from charged objects, questioning whether the electric field decays with distance for different geometries such as plates, spheres, and wires.

Discussion Status

There is an ongoing exploration of the characteristics of electric fields generated by various charge distributions. Some participants have offered clarifications regarding the behavior of electric fields from infinite plates versus finite geometries, while others have raised questions about the decay of fields from different shapes.

Contextual Notes

Participants are considering the implications of approximations in electric field behavior and the limitations of applying certain models to real-world scenarios. The discussion reflects a mix of understanding and misconceptions about electric field distributions.

ZedCar
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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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