Magnetic permeability and optical impedance

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SUMMARY

The discussion centers on calculating the optical impedance (Z) of an electromagnetic wave with a frequency of 5.10^14 Hz in a medium with an index of refraction (n) equal to 1.33 and magnetic permeability (μ) equivalent to the magnetic permeability in a vacuum (μ0). The formula for optical impedance is Z = μ . c/n. Participants confirmed that knowing μ, the speed of light (c), and n allows for the calculation of Z, and clarified that the relative electrical permittivity (εr) is 1.769.

PREREQUISITES
  • Understanding of electromagnetic wave properties
  • Familiarity with the concepts of magnetic permeability (μ) and vacuum permeability (μ0)
  • Knowledge of optical impedance calculations
  • Basic grasp of refractive index (n) and its implications
NEXT STEPS
  • Research the standard value of magnetic permeability in a vacuum (μ0)
  • Learn about the speed of light (c) in different media
  • Explore the relationship between refractive index and optical impedance
  • Study the implications of relative electrical permittivity (εr) in electromagnetic theory
USEFUL FOR

Students and professionals in physics, electrical engineering, and optics who are interested in understanding electromagnetic wave behavior and optical impedance calculations.

duchuy
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Homework Statement
Determine the value of optical impedance
Relevant Equations
Z = μ . c/n
Hi,
It's given that an electromagnetic wave (5.10^14 Hz) traveling in an environment with the index n = 1,33, where the magnetic permeability (μ) is equal to the magnetic permeability in a vacuum (μ0).
The optical impedance (Z) is given by the formula : Z = μ . c/n.
I tried to turn μ into μ0 to determine its value but I didn't manage to get any further than determining the value of the relative electrical permittivity (εr) = 1,769.
Sorry if I have misused any vocabulary because I'm translating this from french.
Thank you so much for your help!
 
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duchuy said:
I tried to turn μ into μ0 to determine its value but I didn't manage to get any further than determining the
That doesn't make sense, but it might be a language problem.

What is the magnetic permeability of a vacuum (μ0)? Look up this standard value if you don't already know it.

duchuy said:
the magnetic permeability (μ) is equal to the magnetic permeability in a vacuum (μ0).
So, you now know how big the magnetic permeability (μ) is.

Since you know μ, c and n you can now work out Z using your formula. I don't see the problem.
 

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