Is the Electric Field Zero Inside Any Shape of an Empty Cavity in a Conductor?

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Homework Help Overview

The discussion revolves around the electric field inside an empty cavity within a conductor and whether it remains zero regardless of the cavity's shape. Participants are exploring the implications of this statement and the conditions under which it holds true.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the validity of the statement regarding the electric field being zero in various cavity shapes. Some are considering the effects of charges and fields within and around the conductor.

Discussion Status

The discussion is active, with participants providing insights and questioning assumptions about charge distribution and the behavior of electric fields in conductors. There is an acknowledgment of the complexity of the situation, particularly regarding the implications of an empty cavity.

Contextual Notes

There is a focus on the assumption that the cavity is empty and the implications of this condition on the electric field. Participants are also considering the effects of external electric fields and charge distributions within the conductor.

hisashiburi
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Homework Statement


The electric field inside an empty cavity in a conductor is zero. Is this statement true no matter what the shape of the cavity? Why or why not?


Homework Equations


Electric field equation. E = kQ / R^2


The Attempt at a Solution


I can't seem to figure out if this is true no matter what the shape.
 
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no, consider a charge in a cavity in a conductor.

it's only in the meat of the conductor, because when you would put a conductor in a field, the electrons would move and create a field with the protons on their own. The two fields tend to cancel. But in a hole, you don't have this problem. (The edges of the conductor will be charged however, in that case.)
 
jacobrhcp said:
no, consider a charge in a cavity in a conductor.

it's only in the meat of the conductor, because when you would put a conductor in a field, the electrons would move and create a field with the protons on their own. The two fields tend to cancel. But in a hole, you don't have this problem. (The edges of the conductor will be charged however, in that case.)

That's correct, but it's stated that the cavity is empty, so it doesn't contain a charge. There's no net charge density in the conductor and the cavity is empty, so the only place a charge could be is on the surface of the cavity. Now consider a gaussian surface around the cavity but inside the conductor.
 
oh I'm sorry, ah well... I guess Dick gave you quite a hint there.
 

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