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space weather PLEASE HELP me use MATLAB NO REFERENCE space weatherPLEASE HELP meuse MATLABNO REFERENCEImage transcription text1.1 Free Space Maxwell’s equations describe thebehavior of electromagnetic fields and their interactionwith mat- ter. They are one of the major b… … Image transcription textbecomes: ale. ale. a;2 ‘”fleo at2 =0 Which has the general solution:F. = Eo cos [wt — kzz} it, (4) where E0 is a complex amplitudethat may incorporate a phase angle as determined b… … Image transcription text12 – 1.0 – [LB – 0.0 ‘- n; – 0.2 – 00- 02 Figure 1: With and appliedelectric field, E, ions (red dots) and electrons (blue dots} areshifted from their equilibrium positions by a dista… … Image transcription textther than the ions, which means we can pretty much ignore theion motion and 5 = —52. s = ‘1″ 2E mew __ q _ mewZE where qwithout subscript is simply the magnitude of the char… … Image transcription textWhere we recognize that the summation is just the polarization.This can used in equation 6 to get: 33 621′ 62E anmwweflw (7′ w2325 = (1’ :3) Wow ‘8’ Faraday’s law is not changed by … … Image transcription textanalysis would show that the energy of the wave propagates withthe group velocity which can be shown to be: v _ 6w 0.1%, 1 w2l-Lueo Which is clearly lower than the vacuum speed… … Image transcription textSolving for v yields: Vx jw ge BZ 0 Ex me Vu me He B z me jw geBx me Ey 0 me jw 0 Dividing out the j, recognizing thegyrofrequency yields: VX W joe cos 0 0 Ex Vy me -j… … Image transcription textThe constant in the parentheses multiplying the identity matrixis the ratio of c2 = 1/|.l.g€g to vf, = Lei/k2, which we identify asthe square of the index of refraction, n2. When the… … Image transcription text2 Problems Parameter Value Plasma Frequency cup = (211]4 x10’5 Rod 5—1 Electron Gyrcfrequency (13 = [2701.4 x 105 Red5—1 Angle between k and Bu 9 = 10° Table 1: Const… …   Science Astronomy EE 472 Share (0)