Permitivity, and relative permitivity

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In summary, the equivalent relation for a plane electromagnetic wave in a dielectric is k=\frac{w}{c}=\sqrt{\epsilon_r\epsilon_0\mu_0}.
  • #1
neu
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Homework Statement



For a plane em wave in vacuum can write [tex]k=\frac{w}{c}[/tex]

what is the equivalent relation in a dielectric?

Homework Equations



[tex]\frac{1}{c^2}={\epsilon}{\mu}[/tex]


The Attempt at a Solution



[tex] k=\sqrt{{\epsilon_{r}}\epsilon\mu}.w[/tex]

This right?
 
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  • #2
Yes, but you could keep the c instead of epsilon0 and mu0.
 
  • #3
ok so: [tex] \frac{1}{c}=\sqrt{\epsilon_{0}\mu_{0}}[/tex]

so how is [tex]\epsilon[/tex] and [tex]\mu[/tex] related to c?

is it [tex]\frac{n}{c}=\sqrt{\epsilon\mu}[/tex]?
 
  • #4
neu said:
ok so: [tex] \frac{1}{c}=\sqrt{\epsilon_{0}\mu_{0}}[/tex]

so how is [tex]\epsilon[/tex] and [tex]\mu[/tex] related to c?

is it [tex]\frac{n}{c}=\sqrt{\epsilon\mu}[/tex]?
Yes, if you mean [tex]\epsilon=\epsilon_r\epsilon_0.[/tex]
 

1. What is permitivity?

Permitivity is a physical property that describes the ability of a material to store an electric charge. It is typically represented by the Greek letter epsilon (ε) and is measured in units of farads per meter (F/m).

2. How is permitivity related to electric fields?

Permitivity is directly related to electric fields. In the presence of an electric field, a material with a high permitivity will experience a greater displacement of electrons, resulting in a higher electric polarization and a stronger interaction with the electric field.

3. What is relative permitivity?

Relative permitivity, also known as dielectric constant, is a dimensionless quantity that compares the permitivity of a material to the permitivity of a vacuum. It is often denoted by the symbol εr and is used to describe how strongly a material can be polarized in an electric field compared to a vacuum.

4. How is relative permitivity measured?

Relative permitivity is typically measured by comparing the capacitance of a capacitor filled with the material in question to the capacitance of an empty capacitor. The ratio of the two capacitances is equal to the relative permitivity of the material.

5. What are some common applications of permitivity and relative permitivity?

Permitivity and relative permitivity have many practical applications in various fields such as electronics, telecommunications, and materials science. They are used to design and optimize electronic components, insulators, and capacitors, as well as to study the properties of materials and their interactions with electric fields.

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