Intrinsic Wave Impedance for Conductive Medium

Click For Summary
SUMMARY

The intrinsic impedance for a conductive medium is complex, differing from the 377 Ω value for air. Key constants involved include μ₀ (permeability of free space), ε₀ (permittivity of free space), and εᵣ (relative permittivity of the medium). Understanding these constants is crucial for solving problems related to electric and magnetic waves in conductive media. The discussion emphasizes the importance of these parameters in the context of wave equations and their implications in electromagnetic theory.

PREREQUISITES
  • Understanding of intrinsic impedance in electromagnetic theory
  • Familiarity with wave equations in conductive media
  • Knowledge of electromagnetic constants: μ₀, ε₀, and εᵣ
  • Basic concepts of electric and magnetic fields
NEXT STEPS
  • Research the properties and applications of intrinsic impedance in conductive media
  • Study the derivation and implications of wave equations in conductive materials
  • Learn about the significance of μ₀, ε₀, and εᵣ in electromagnetic theory
  • Explore practical examples of electric and magnetic wave behavior in conductive media
USEFUL FOR

Students and professionals in electrical engineering, physicists studying electromagnetic theory, and anyone involved in analyzing wave propagation in conductive materials.

tquiva
Messages
19
Reaction score
0

Homework Statement


I know that for air, the intrinsic impedance η is 377 Ω, but it becomes complex in a conductive medium. This fact is sort of hindering me in being able to answer a few problems consisting of electric and magnetic waves in a conductive medium, but I just wanted to clarify one thing.
Say, I am given H(z,t)=0.5cos(ωt-βz)ay+0.7cos(ωt-βz)ax

Homework Equations


I know that the intrinsic impedance for a conductive medium is:
attachment.php?attachmentid=40735&stc=1&d=1320639186.png


The Attempt at a Solution


When σ=0 for one problem, I was left with:
attachment.php?attachmentid=40736&stc=1&d=1320639330.png

But I do know that
attachment.php?attachmentid=40738&stc=1&d=1320639449.png


My question is, what in the world is u_o, ε_o, and ε_r ?
Am I supposed to figure this out or is this already provided in a table somewhere?
I have been trying to look in my book and online, but am getting confused easily.
Will someone please clarify this for me?
Any help is greatly appreciated!
 

Attachments

  • Screen Shot 2011-11-06 at 6.12.32 PM.png
    Screen Shot 2011-11-06 at 6.12.32 PM.png
    3.7 KB · Views: 1,632
  • Screen Shot 2011-11-06 at 6.15.09 PM.png
    Screen Shot 2011-11-06 at 6.15.09 PM.png
    1.2 KB · Views: 1,276
  • Screen Shot 2011-11-06 at 6.17.10 PM.png
    Screen Shot 2011-11-06 at 6.17.10 PM.png
    1 KB · Views: 1,263
Physics news on Phys.org
Those are all real constants. mu_0 and epsilon_0 are permeability and permittivity of free space, look them up anywhere, and epsilon_r is the relative permittivity of your medium (= epsilon/epsilon_0).

How you got as far as you did, which is pretty far, without knowing that is a bit of a mysrtery to me, and please believe that I'm nort trying to be condescending or insulting - just wondering!
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
6K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K