Consider a space plasma with density N = 3 x 108 m-3 with a static magnetic field of 3.6 x 10-7 T. Consider electromagnetic wave propagation under the cold plasma assumption parallel to the magnetic field. Make a plot of group velocity versus frequency for frequencies from 0 Hz to 500 kHz. Your plot should have 3 different curves for the three modes of propagation. Be sure to identify the modes and all cut off and resonant frequencies clearly.