Permitivity, and relative permitivity

  • Thread starter Thread starter neu
  • Start date Start date
  • Tags Tags
    Relative
Click For Summary

Homework Help Overview

The discussion revolves around the relationship between wave vector \( k \), permittivity, and permeability in the context of electromagnetic waves in different media, specifically comparing vacuum to dielectric materials.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between the speed of light in vacuum and its equivalent in a dielectric medium, questioning how permittivity and permeability relate to the speed of light.

Discussion Status

Some participants have provided insights on maintaining the use of constants like \( c \) instead of switching to permittivity and permeability. There is an ongoing exploration of how these quantities relate to the refractive index and the wave vector.

Contextual Notes

Participants are discussing the implications of using relative permittivity and permeability in their equations, with some uncertainty about the definitions and relationships involved.

neu
Messages
228
Reaction score
3

Homework Statement



For a plane em wave in vacuum can write k=\frac{w}{c}

what is the equivalent relation in a dielectric?

Homework Equations



\frac{1}{c^2}={\epsilon}{\mu}


The Attempt at a Solution



k=\sqrt{{\epsilon_{r}}\epsilon\mu}.w

This right?
 
Last edited:
Physics news on Phys.org
Yes, but you could keep the c instead of epsilon0 and mu0.
 
ok so: \frac{1}{c}=\sqrt{\epsilon_{0}\mu_{0}}

so how is \epsilon and \mu related to c?

is it \frac{n}{c}=\sqrt{\epsilon\mu}?
 
neu said:
ok so: \frac{1}{c}=\sqrt{\epsilon_{0}\mu_{0}}

so how is \epsilon and \mu related to c?

is it \frac{n}{c}=\sqrt{\epsilon\mu}?
Yes, if you mean \epsilon=\epsilon_r\epsilon_0.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
0
Views
2K
Replies
1
Views
1K
  • · Replies 5 ·
Replies
5
Views
4K
Replies
2
Views
2K
Replies
5
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 5 ·
Replies
5
Views
881
  • · Replies 1 ·
Replies
1
Views
3K