Problem related to electric and magnetic energy densities

Elisa A
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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...:confused:
Please , help me with a hint how to use the given ..

Thank you in advance
 
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Thank you for the help :)

Kisses,
Elisa
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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