Relative Permitttivity & Relative Permeability Dependency

[ubabmar]

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 ...

 

[tiny-tim]

welcome to pf!

hi ubabmar! welcome to pf!

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

ε = ε_rε_o

µ = µ_rµ_o

εµ = 1/v²​

so ε_rµ_r = 1/ε_oµ_ov² = (c/v)²

 

[ubabmar]

hi ubabmar! welcome to pf!

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

ε = ε_rε_o

µ = µ_rµ_o

εµ = 1/v²​

so ε_rµ_r = 1/ε_oµ_ov² = (c/v)²

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 ...

 

[tiny-tim]

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 ​

 

[ubabmar]

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 ​

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.