Shield Principle Clarified: Inside-Outside Electric Field Independency

In summary, Feynman says that the fields on the two sides of a closed conductor are completely independent, but this is only true if the conductor is grounded. If the conductor is ungrounded, the fields on the two sides are not completely independent.
  • #1
babblingsia
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Consider an uncharged spherical conductor .It has a cavity carved out of it and there's a charge q in the cavity.Now you get an electric field outside the sphere.All fine.But why does Feynman say that "...no static distribution of charges inside a closed conductor can produce any fields outside.Shielding works both ways!In electrostatics-but not in varying fields- the fields on the two sides of a closed conducting shell are completely independent." Could someone please help me clear the inconsistencies?
 
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  • #2
babblingsia said:
Consider an uncharged spherical conductor .It has a cavity carved out of it and there's a charge q in the cavity.Now you get an electric field outside the sphere.All fine.

Yeah, that's right.

But why does Feynman say that "...no static distribution of charges inside a closed conductor can produce any fields outside.Shielding works both ways!In electrostatics-but not in varying fields- the fields on the two sides of a closed conducting shell are completely independent." Could someone please help me clear the inconsistencies?

That' doesn't seem right. Are you sure you that's exactly how it was given in his book, and you didn't make an error while posting?

If so, he must talking about grounded conductors, or conductors which has a net opposing charge.
 
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  • #3
Feynman error!

Yes, Feynman really did write that just as babblingsia stated. It's an error that has been corrected in the latest printing of the "Definitive" edition. It now reads:

...the fields on the two sides of a closed grounded conducting shell are completely independent.​

PS: When I dragged out my tattered copy of the lectures to verify the OP's quote, I noticed the notation "huh?" that I had penciled in next to that statement when I first read it decades ago. :wink:
 
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  • #4
"the fields on the two sides of a closed conducting shell are completely independent."
I think he means that moving a charge wilthin a cavity (thus changing the field in the cavity) does not affect the field outside the conductor.
Sometimes Feynman's colorful language can confuse.
 
  • #5
i feel what he means is the the charge distribution inside the cavity has absolutely no effetc what so ever on the outside field
 
  • #6
Yep. See the example in Griffiths Introduction to ED, section on conductors. Very enlightening.
 

FAQ: Shield Principle Clarified: Inside-Outside Electric Field Independency

What is the shield principle?

The shield principle is a fundamental concept in electromagnetism that states that an electric field inside a charged conductor is zero. This means that the electric field inside a conductor is shielded or cancelled out by the charges on the surface of the conductor.

What does the inside-outside electric field independency mean?

The inside-outside electric field independency refers to the fact that the electric field inside a charged conductor is independent of the external electric field. This means that the charges on the surface of the conductor are solely responsible for the electric field inside it.

Why is the shield principle important?

The shield principle is important because it helps us understand how charges behave inside conductors and how electric fields are affected by these charges. It also has practical applications, such as in the design of electronic devices and electromagnetic shielding.

How does the shield principle relate to Faraday's cage?

The shield principle is closely related to Faraday's cage, which is an enclosure made of conductive material that blocks external electric fields. This is possible because the electric field inside the cage is cancelled out by the charges on its surface, creating a shielded environment inside.

Can the shield principle be violated?

No, the shield principle cannot be violated as it is a fundamental law of electromagnetism. Any violation of this principle would contradict our current understanding of how charges and electric fields behave in conductors.

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