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    Wavelength and phase speed of microwaves

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    The question ask to determine these in 3 different mediums: a vacuum and two different plasma's. The full question is attached.

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    The answer is given clearly in the word file attached below.

    (i) The phase speed of wave in vacuum is the velocity of light. That is 3*108 m/s
    Wavelength = velocity of light / frequency
    f= 2.45GHz =2.45*109 Hz
     = (3*108)/(2.45*109)
    = 12.24 cm

    (ii) Given data Number density (n0) = 7*1016 /m3
    Wave frequency (f) = 2.45GHz
    Phase speed of a wave in a plasma is given by Vp= c/SQRT(1- (fp/f)2)
    Where plasma frequency fp = 9*SQRT(n0) Hz , n0 in number of electrons/ m3

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    A clear cut solution is attached with step by step explanation.