Relative Permitttivity & Relative Permeability Dependency

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Discussion Overview

The discussion revolves around the relationship between relative permittivity (εr) and relative permeability (μr) of materials, particularly in the context of electromagnetic radiation. Participants explore how these properties can be related mathematically and whether it is possible to determine one from the other without knowing certain parameters, such as phase velocity.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant inquires about the relationship between relative permittivity and relative permeability, seeking a method to find μr given εr.
  • Another participant provides a mathematical relationship involving phase velocity, stating that εrμr = (c/v)², where v is the phase velocity of electromagnetic radiation in the material.
  • A follow-up question is raised regarding the necessity of knowing the phase velocity to solve the problem, indicating uncertainty about the availability of this parameter.
  • It is clarified that the phase velocity is equal to the speed of light in the material, which is dependent on the refractive index.
  • A general inquiry is made about whether all materials possess the properties of relative permittivity, relative permeability, and refractive index.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the ability to relate εr and μr without knowing the phase velocity. There is no consensus on whether all materials possess the discussed properties.

Contextual Notes

The discussion does not resolve the dependency of relative permittivity and relative permeability on the phase velocity, nor does it clarify the conditions under which all materials exhibit these properties.

ubabmar
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Hi Everyone,

I want to know that is there anyway to relate the relative permittivity (εr) & relative permeability (μr) ?... I am having relative permittivity of an material & i want to find out its relative permeability ...

Like if εr = 2.2, then μr = ?...

Please reply ...
 
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welcome to pf!

hi ubabmar! welcome to pf! :smile:

if v (= c/n) is the phase velocity of electromagnetic radiation in the material, then …

ε = εrεo

µ = µrµo

εµ = 1/v2

so εrµr = 1/εoµov2 = (c/v)2 :wink:
 


tiny-tim said:
hi ubabmar! welcome to pf! :smile:

if v (= c/n) is the phase velocity of electromagnetic radiation in the material, then …

ε = εrεo

µ = µrµo

εµ = 1/v2

so εrµr = 1/εoµov2 = (c/v)2 :wink:

Hi Tiny-tim ...
Thank You for your reply ...
Yeah, your answer is giving me the relation but if i don't know the 'v' (Phase Velocity of EM radiation) then do this problem has any method ?...
Please ...
 
v is the speed of light in the material …

(equal to c/n, where n is the refractive index)

you do need to know it :wink:
 
tiny-tim said:
v is the speed of light in the material …

(equal to c/n, where n is the refractive index)

you do need to know it :wink:

Thankyou tiny-tim ...
I got the answer ...
But a general question that really all the materials posses all these properties ...
The Parameters are,
1. Relative Permittivity,
2. Relative Permeability,
3. Refractive index.
 

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