Phase relation between the electric & magnetic fields in a plasma

[willidietomorrow]

Homework Statement

So I have got the question below.
I am asked to find the phase difference between the electric field and magnetic field of electromagnetic waves traveling in a plasma, using the electrical conductivity expression.
Now I have found the frequency of the waves and I know that there is a phase difference between the current and the voltage in the material can be obtained by writing the complex conductivity as A + iB and then finding the angle of that complex number in polar form. What I don't understand is how to calculate the phase difference between the electric field and the magnetic field? Is that the same as phase difference between the current and the voltage?

 

[TSny]

What I don't understand is how to calculate the phase difference between the electric field and the magnetic field? Is that the same as phase difference between the current and the voltage?

No, I don't believe so. You can derive the phase difference between the E and B fields by starting with Maxwell's equations. In particular, you need the two Maxwell equations that involve the curls of the fields. For plane waves you can replace the curl operators by $i\vec k \times$ and replace the time derivatives by $-i \omega$.