**Unformatted text preview: **In the simplest case, E ’ obeys Ohm’s Law, ie, E ’ = & j , where j is the current density and & is the resistivity. Rederive the dispersion relation for the plane polarized Alfven waves of 14.1 including the resistivity. Comment on the physics of your result for the limiting case k.B = 0, ie, explain which purely k_perp mode (as discussed in class and in the notes) is being modified by resistivity and how so. Then, for general k , solve the dispersion relation for “small” resistivity, to first order. Describe the time evolution of the Alfven wave in this case. Define “small”. What would happen to the Alfven wave with resistivity if k y = 0....

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