How Should Relative Permittivity Be Applied in Electric Field Calculations?

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SUMMARY

The discussion focuses on the application of relative permittivity (εr) in electric field calculations involving two point charges of 2C and 3C in a medium with a relative permittivity of 5.5. It is established that the relative permittivity should be multiplied by the permittivity of free space (εo) when calculating the electric field strength. The relationship between εo and εr is emphasized, indicating that they are used together in formulas, either as a product (εoεr) or simply as ε.

PREREQUISITES
  • Understanding of electric field strength calculations
  • Familiarity with the concept of permittivity of free space (εo)
  • Knowledge of relative permittivity (εr) and its significance
  • Basic grasp of Coulomb's law and point charge interactions
NEXT STEPS
  • Study the derivation and application of the electric field strength formula in different media
  • Learn about the relationship between εo and εr in electromagnetic theory
  • Explore examples of electric field calculations involving multiple charges in various permittivity conditions
  • Investigate the implications of relative permittivity in dielectric materials
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone involved in electric field calculations and analysis in different media.

Jmphysics
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Homework Statement


I've been given a question where I have to find the electric field strength at a point between two charges. Now I understand the mathematics but the question I'm trying to solve says two point charges of value 2C and 3C are position within a medium of relative permittivity 5.5.

My question is when i put my values into the electric field strength equation should this value 5.5 be multiply by the permittivity of free space or be used differently.

Homework Equations

The Attempt at a Solution


I have looked on the internet for the formula but sometimes its written differently and I just want to be one hundred percent confident I'm using this value correctly since I keep finding conflicting information.
 
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It is strange that it's worded like that, but my guess is that you multiply the permittivity of free space by 5.5
 
Hi Jmphysics.
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εo and εr always go around together like a married couple; where you find one it needs the other right alongside.

Some formulae emphasise this by explicitly showing their product εoεr, other formulae denote this product concisely as just ε
 

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