Problem related to electric and magnetic energy densities

[Elisa A]

Homework Statement

How can be shown that the electric energy density is completely dominated by the magnetic energy density for non-relativistic plasmas?

Homework Equations

the electric energy density is given by $${\epsilon_{0}.E^{2}}{}$$, and the magnetic energy density is given by $$\frac{B^{2}}{2\mu_{0}}$$

The Attempt at a Solution

To relate the magnitude of the two fields it should be used one of the Maxwell's eqs, i.e.:
$$\nabla$$$$\times\vec{E}$$ = -$$\frac{d\vec{B}}{dt}$$

But this is all I can do so far...
Please , help me with a hint how to use the given ..

Thank you in advance

 

[stanchov]

Here is the answer of your question. Pages 17 and 18.
http://www.space.irfu.se/course/rf1/notes.pdf
batstan from clubs.dir.bg

 

[Elisa A]

thank you :)

Thank you for the help :)

Kisses,
Elisa