Assume that a large solar flare erupts in a region where the magnetic field stre

Question

Assume that a large solar flare erupts in a region where the magnetic field strength is 0.03T and that it releases 10(poer of 25)J in an hour.
a. What was the magnetic energy density in that region before the eruption began?
b. What minimum volume will be required to supply the magnetic energy necessary to fuel the flare?
c.How long would it take for an Alfven wave to travel the length of the flare?
d.Assuming that the volume involved in supplying the energy for the flare eruption was a cube, compare the lenght of one side of the cube with the typical size of a large flare.

Explanation / Answer

Given that B = 0.03 T E = 10 J a) Um = B^2 / 8 * pi = (0.03)^2 / 8 * 3.14 = 3.582 x 10^-5 J/m^3 b) Um = E / V ==> V = E / Um = 10J / 3.582 x 10^-5 J/m^3 = 2.791 x 10^5 m^3 c) X = (V)^1/3 = 65.35 m

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