Refractive index of light from permittivity

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Homework Help Overview

The discussion revolves around calculating various parameters related to the refractive index of water, given its relative magnetic permeability and electric permittivity. The subject area includes concepts from electromagnetism and optics.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to use the relationship between the speed of light, permittivity, and permeability to find the index of refraction. They express uncertainty about their calculations and seek guidance on how to approach the problem.
  • Some participants question the values used in the calculations, specifically asking for clarification on how the original poster arrived at their result of 1.1 for the index of refraction.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem and the calculations involved. There is a focus on clarifying the values used and ensuring that the correct relationships are applied.

Contextual Notes

Participants note that the original poster is relatively new to the topic and requests a gentle introduction to the concepts involved without delving too deeply too quickly.

Taylor_1989
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Homework Statement


Given that the relative magnetic permeability and relative electric permeability of water are respectively, ##\mu_{rel}=1## and ##\epsilon=1.769## calculate the following 6 parameters.

1. Index of refraction of water ## n ##

2. speed of electromagnetic waves in water ## c ##

3. Value of permittivity of water ##\epsilon##

4. Value of permeability of water ##\mu##

5. electrical susceptibility of water ## X_{e} ##

6. magnetic susceptibility of water ## X_{m}##

Homework Equations


##c^2=\frac{c_0^2}{\epsilon _r\:\mu _r},\:where\:c_0^2=\frac{1}{\epsilon _0\:\mu _0}##

The Attempt at a Solution


[/B]
Normall I would put my working up but I have been looking at this question for well over an hour and can't really make a start, I originally through that looking at Maxwell equation for a light wave would help but that just showed me the equations above. I then through well ##n=\frac{c}{v}=\frac{c_0}{c}=\sqrt{\mu _r\epsilon _r}## but this gave me 1.1 so that was a no go, at that all I have, I just done know how to start this type of question off can some give a nudge in the right direction please. I am quite new to all this so, is it possible not to go too deep straight away, thanks in advance.
 
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Taylor_1989 said:
I then through well ##n=\frac{c}{v}=\frac{c_0}{c}=\sqrt{\mu _r\epsilon _r}## but this gave me 1.1 so that was a no go
How did you get 1.1? What values did you use for ##\mu _r## and ##\epsilon _r##?
 
The values I used 1 and 1.769 as shown in the question
 
Taylor_1989 said:
The values I used 1 and 1.769 as shown in the question
When I use these values, I don't get 1.1 for ##n##.
 

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