Charged Plate w/ Gaussian Cylinder: Integral E*dA

Thread starter Idividebyzero
Start date Jun 17, 2011
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Cylinder Gaussian

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A uniformly charged conducting plate with infinite extent has a surface charge density denoted as surf. A Gaussian surface, specifically a cylindrical pillbox, is used to analyze the electric field near the surface of the plate. The integral E * dA is applied to calculate the electric field, focusing on the contributions from the charged plate. The discussion emphasizes the importance of understanding the electric field behavior in relation to the Gaussian surface configuration. This analysis is crucial for deriving the electric field strength in the vicinity of charged conductors.

Jun 17, 2011

Idividebyzero

1. Consider a uniformly charged conducting
plate with an infinite extent, where the sur-
face charge density is surf . We introduce a
Gaussian surface as a cylindrical pillbox of ra-
dius a, half-way submerged into the surface.
The figure below shows a chunk of the infinite
plate and the pillbox configuration.

2. integral E * dA

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Jun 17, 2011

Doc Al

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Well, what's your answer?

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