Permitivity, and relative permitivity

[neu]

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?

 

[Meir Achuz]

Yes, but you could keep the c instead of epsilon0 and mu0.

 

[neu]

ok so: $$\frac{1}{c}=\sqrt{\epsilon_{0}\mu_{0}}$$

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

is it $$\frac{n}{c}=\sqrt{\epsilon\mu}$$?

 

[Meir Achuz]

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 $$\epsilon=\epsilon_r\epsilon_0.$$