How can a conductor have zero field inside when it is not in equilbrium

In summary: Therefore, there would be no field inside the conductor.In summary, the book states that all conductors have a zero field inside. This is because in the presence of an external electric field, the charges inside the conductor will rearrange themselves to create an opposing field, resulting in a net zero field inside. However, this only applies to perfect conductors and for practical purposes, as in the case of a non-zero external field, there will be a small field inside for a short period of time. In the absence of an external field, there would be no field inside the conductor.
  • #1
flyingpig
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Homework Statement




My book draws this picture where there is an external field outside a conductor and inside has charges where an opposite field takes place inside and there a net zero field occurs. But the book then generalizes that ALL conductors have zero field inside.

My question is why? What if there is no external field? How can they say ALL?
 
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  • #2
flyingpig said:

Homework Statement

My book draws this picture where there is an external field outside a conductor and inside has charges where an opposite field takes place inside and there a net zero field occurs. But the book then generalizes that ALL conductors have zero field inside.

My question is why? What if there is no external field? How can they say ALL?
Only perfect conductors would have zero field inside (eg. a superconductor) at all times. If current flows through a copper wire, there is a small field inside the wire as a small amount of work is required to sustain the current (resistance is not zero).

For practical purposes, however, in the presence of an external electric field (no potential difference maintained between ends of the conductor) the field inside a conductor is effectively zero - once the charges settle down after a few pico seconds. Let's assume that the field inside the conductor is not zero - what would happen? Since electrons are able to move freely within the conductor, charges would immediately move in response to the electric field (actually opposite to the direction of the field), until the field became 0.

AM
 
  • #3
But I am saying what if there was no external field in the beginning.
 
  • #4
The book is saying that there is no field inside a conductor, even though there is a non-zero external field. If there is NO external field, then of course the author must have reasoned that nobody would expect there to be a field inside.

(I believe OP is referring to a static field - so a perfect conductor is not needed.)
 
  • #5
I pulled it out from my book (part of it because it is too big)

[PLAIN]http://img96.imageshack.us/img96/2802/79188880.jpg
 
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  • #6
Not sure what the confusion is. If there were no external field, the charges wouldn't need to rearrange themselves to create the opposing field.
 

FAQ: How can a conductor have zero field inside when it is not in equilbrium

How is it possible for a conductor to have zero electric field inside when it is not in equilibrium?

According to Gauss's Law, the electric field inside a conductor is zero because any excess charge on the surface of the conductor will distribute itself in such a way that the electric field inside is cancelled out. This is known as electrostatic shielding.

Can a conductor have zero electric field inside even when it is not in equilibrium?

Yes, a conductor can have zero electric field inside even when it is not in equilibrium. This is because the excess charge on the surface of the conductor will still distribute itself in a way that cancels out the electric field inside, following the principle of electrostatic shielding.

How does the presence of charges on the surface of a conductor affect the electric field inside?

The presence of charges on the surface of a conductor affects the electric field inside by creating an opposite electric field that cancels out the electric field of the charges inside. This is known as electrostatic shielding.

Why is it important for a conductor to have zero electric field inside?

It is important for a conductor to have zero electric field inside to prevent any unwanted electrical interference. This is especially important for sensitive electronic devices that can be affected by external electric fields.

What other factors besides excess charges can influence the electric field inside a conductor?

Besides excess charges, the shape and size of the conductor can also influence the electric field inside. For example, a spherical conductor will have a more evenly distributed electric field inside compared to a cylindrical conductor.

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