Electromagnetics - finding wavelength from e_r and f

Click For Summary
SUMMARY

The discussion focuses on calculating the phase velocity and wavelength of a transmission line with a relative dielectric constant (ε_r) of 2.25 at a frequency of 50 MHz. The relevant equations are λ = ?(ε_r, f) and u = λf. The phase velocity (u) can be derived using the relationship u = c / √(ε_r), where c is the speed of light. The wavelength (λ) can then be calculated using λ = u / f.

PREREQUISITES
  • Understanding of electromagnetic wave propagation
  • Familiarity with the concept of relative dielectric constant (ε_r)
  • Basic knowledge of frequency and wavelength relationships
  • Ability to apply formulas related to phase velocity and wavelength
NEXT STEPS
  • Study the relationship between phase velocity and relative dielectric constant in transmission lines
  • Learn how to derive wavelength from frequency and phase velocity
  • Explore the implications of dielectric materials on electromagnetic wave behavior
  • Investigate the speed of light in different media and its relationship to refractive index
USEFUL FOR

Students studying electromagnetics, electrical engineers working with transmission lines, and anyone interested in wave propagation in dielectric materials.

a_lawson_2k
Messages
39
Reaction score
0

Homework Statement



A transmission line is 1 meter and has a relative dielectric constant of 2.25
Find the phase velocity u and the wavelength λ for a frequency of 50 MHz.

Homework Equations



λ=?(ε_r, f)
u=λf

The Attempt at a Solution



I am unable to get from the relative dielectric constant and frequency to the wavelength. I could not find any such equation in my text.

My guess is the transmission line datum is extraneous, but I could be wrong.
 
Physics news on Phys.org
Thne length is immaterial, don't know why it's included.

To answer the question, what is the simple relationship between relative dielectric constant and the phase velocity? It applies to the transmission line and also to light. For light, think n for a hint.
 

Similar threads

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