Problem related to electric and magnetic energy densities

AI Thread Summary
The discussion centers on demonstrating that in non-relativistic plasmas, the magnetic energy density significantly outweighs the electric energy density. The electric energy density is defined as ε₀E², while the magnetic energy density is given by B²/2μ₀. Participants suggest using Maxwell's equations, specifically the relationship between the electric and magnetic fields, to establish this dominance. A link to additional resources is provided to aid in understanding the concepts. The conversation highlights the need for guidance on applying these equations effectively.
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 :)

Thank you for the help :)

Kisses,
Elisa
 
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