Two plane waves contra-propagate in free space and interfere with each other. They have the same frequency, same amplitude, and same propagations constant, oo, E, B, respectively. Derive an expression for the time-average Poynting vector, (P), of the resulting wave.

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Two plane waves contra-propagate in free space and interfere with each other. They have the
same frequency, same amplitude, and same propagations constant, @, E, B, respectively.
Derive an expression for the time-average Poynting vector, (P), of the resulting wave.
Transcribed Image Text:Two plane waves contra-propagate in free space and interfere with each other. They have the same frequency, same amplitude, and same propagations constant, @, E, B, respectively. Derive an expression for the time-average Poynting vector, (P), of the resulting wave.
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12
The given Frequency is 30 × 10¹² Hz
ωμο
α = = B =
2
= V πfμσ
=
4π × 10-7
here
12
=
√π × 30 × 10¹² × 4π × 10¯7 × 10500
√30 × 40 × π² × 1050 × 10³
=
=
3.526 × 106
C.
Wave phase velocity=
12
2π×30×
)×10¹²
3.526×106
= 5.34 × 107m/sec
b. Relative permittivity of medium(³r)-
с
√Hp Ep
vp=
where,
Mp
1
5.34 × 107
√ET = 5.61
r
Ep =
31.47
=
3×108
√1XET
3|2
Transcribed Image Text:12 The given Frequency is 30 × 10¹² Hz ωμο α = = B = 2 = V πfμσ = 4π × 10-7 here 12 = √π × 30 × 10¹² × 4π × 10¯7 × 10500 √30 × 40 × π² × 1050 × 10³ = = 3.526 × 106 C. Wave phase velocity= 12 2π×30× )×10¹² 3.526×106 = 5.34 × 107m/sec b. Relative permittivity of medium(³r)- с √Hp Ep vp= where, Mp 1 5.34 × 107 √ET = 5.61 r Ep = 31.47 = 3×108 √1XET 3|2
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