Gauss's Law: Net Charge Enclosed by Surface?

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SUMMARY

Gauss's Law states that the net charge enclosed by a closed Gaussian surface is critical for applying the law correctly. Charges located on the surface of the Gaussian surface cannot be fully counted as enclosed; only a portion of the charge should be considered. For spherical surfaces, half of the charge on the surface can be counted, while for cubic surfaces, it can be one-half, one-fourth, or one-eighth, depending on the specific geometry and placement of the charge.

PREREQUISITES
  • Understanding of Gauss's Law in electrostatics
  • Familiarity with Gaussian surfaces
  • Basic knowledge of electric charge distribution
  • Concept of electric field lines
NEXT STEPS
  • Study the mathematical formulation of Gauss's Law
  • Explore examples of Gaussian surfaces in different geometries
  • Learn about electric field calculations using Gauss's Law
  • Investigate the implications of charge distribution on electric fields
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Physics students, educators, and anyone studying electrostatics or preparing for exams in electromagnetism will benefit from this discussion.

breez
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I've been taught that in gauss's law, the charge that is used must be the net charge enclosed by a closed gaussian surface. If the charge is located on the surface of the gaussian surface (such as a particle charge) can we still use gauss's law? In other words, am I right in interpreting enclosed charge to mean any charge that that is not outside of the surface?
 
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breez said:
If the charge is located on the surface of the gaussian surface (such as a particle charge) can we still use gauss's law?
Actually not. But if you have no choice, count only part of the charge on the surface. For a sphere this part may be 1/2. For a cube, 1/2, 1/4 or 1/8
 

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