Gauss' Law - Electric Field for a Charged Metal Plate

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SUMMARY

The discussion centers on applying Gauss' Law to determine the electric field and surface charge density for a system involving an infinite metal plate with surface charge densities of σL = -6μC/m² and σR = +4μC/m². The relevant equation used is E = |σ|/2ε0, which describes the electric field due to an infinite plane of charge. Participants emphasized the importance of understanding the behavior of electric fields inside conductors, particularly that the electric field inside a thick conductor is zero. The correct answer to the problem posed is option D, confirming the calculations based on the provided surface charge densities.

PREREQUISITES
  • Understanding of Gauss' Law and its application to electric fields
  • Familiarity with surface charge density concepts
  • Knowledge of electric fields in conductors
  • Basic proficiency in electrostatics and charge distributions
NEXT STEPS
  • Study the derivation and applications of Gauss' Law in electrostatics
  • Learn about electric fields produced by infinite planes of charge
  • Explore the properties of electric fields within conductors
  • Investigate the implications of surface charge density on electric field calculations
USEFUL FOR

Students and educators in physics, particularly those focusing on electromagnetism, as well as anyone seeking to deepen their understanding of electric fields and Gauss' Law applications in charged systems.

Gustavo
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Homework Statement



An infinite metal plate has a surface density of charge σL=-6μC/m² , Left side and a surface density Of load σR=+4μC/m² , in the right side. A Gaussian surface In the form of a circular cylinder, with area A 12 cm², is Located with the left side inside the plaque and a thin Plate loaded to the right. The surface charge density of the Metal plate is σA. Check the correct option with respect to the density value Superficial σA And flow ΦE Through the Gaussian.

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ANSWER: D

Homework Equations



Gauss law for an infinite plate: E=|σ|/2ε0

The Attempt at a Solution



I could not understand the problem, I do not know how to find the density and nor the flow. I tried to use Gauss's Law but I could not understand the problem.
 
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Gustavo said:
I could not understand the problem,
Can you be more specific about what it is that you do not understand?
You have a charged thick metal plate and a charged thin metal plate. Since the thick plate is a conductor, what can you say about the field inside it?
You quote the formula for the field resulting from an infinite uniform plane of charge. What fields from such planes act inside the thick plate? What equation does that give you?
 

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