Gaussian Units: Electric Field

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SUMMARY

The discussion centers on the application of Gaussian units in calculating electric fields. The correct equation for the electric field in a dielectric medium is E = Q/(ε_r r²), where ε_r represents the relative permittivity. In Gaussian units, the permittivity of free space is considered unity, which can obscure relationships compared to MKS units. The preference for MKS units is highlighted due to their clarity in expressing these relationships.

PREREQUISITES
  • Understanding of Gaussian units in electromagnetism
  • Familiarity with the concept of electric fields
  • Knowledge of dielectric materials and their properties
  • Basic grasp of MKS (Meter-Kilogram-Second) units
NEXT STEPS
  • Study the differences between Gaussian and MKS units in electromagnetism
  • Explore the concept of relative permittivity (ε_r) in various materials
  • Learn about the implications of using different unit systems in physics
  • Investigate the derivation of electric field equations in different unit systems
USEFUL FOR

Physicists, electrical engineers, and students studying electromagnetism who need clarity on unit systems and their impact on electric field calculations.

soupdejour
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I am stuck with Gaussian units. If the field in vacuum is

E = \frac{Q}{r^2}

Is the field in a dielectric

E = \frac{Q}{\epsilon_r r^2}

, or is it unchanged?
 
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The latter is the correct equation. In gaussian units, free-space epsilon is unity, this is why I prefer MKS units since all the unities in natural units sometimes hide these kind of relationships.
 

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