# 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.

Â© BrainMass Inc. brainmass.com November 30, 2021, 2:42 am ad1c9bdddfhttps://brainmass.com/physics/velocity/wavelength-phase-speed-microwaves-198945

#### Solution Preview

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)

=0.1224m

= 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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#### Solution Summary

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

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