What's the Electric Field Inside a Sealed Metal Can in a Uniform External Field?

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Homework Help Overview

The discussion revolves around determining the electric field inside a sealed metal can placed in a uniform external electric field of 10 N/C. The problem involves concepts from electrostatics and the behavior of conductors in electric fields.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the implications of Gauss' law and the concept of a Faraday cage. Questions arise about the relationship between electric flux and electric field magnitude, particularly in the absence of charge.

Discussion Status

Some participants have provided insights regarding the properties of conductors in electrostatic situations, noting that the electric field inside a conductor is typically zero. There is ongoing exploration of the implications of this for the problem at hand.

Contextual Notes

Participants express uncertainty about the concept of a Faraday cage and its relevance to the problem, indicating a potential gap in prior knowledge that may affect the discussion.

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Homework Statement



A sealed metal can is placed in a uniform external electric field of 10 N/C . The field points along the +x direction. The can is 20cm in length and 10cm in diameter. What's the value of the electric field at the center of the can?

Homework Equations



The Attempt at a Solution


i'm pretty sure this has something to do with Gauss' law but I'm not sure how to relate electric flux back to electric field magnitude especially without a charge?
 
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Doesn't the metal can act as a Faraday cage?
 
hilbert2 said:
Doesn't the metal can act as a Faraday cage?

i honestly have no clue what that is, i don't think we have gone over that yet.

i was just assuming this was a gaussian surface of some kind maybe because it's enclosed?
 
hilbert2 said:
Doesn't the metal can act as a Faraday cage?

i honestly have no clue what that is, i don't think we have gone over that yet.

i was just assuming this was a gaussian surface of some kind maybe because it's enclosed?
 
In an electrostatic situation, the electric field inside a conductor material is always zero. Because if there were a nonzero field, electric current would be induced and it would not be a static situation. The same applies if the conducting object is hollow.

http://en.wikipedia.org/wiki/Faraday_cage
 

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