d) If the frequency of this EM wave is 10¹0 Hz, figure out the electric and magnetic field vectors as a function of time and space at this distance. (Write E along y, and B along z direction.) e) Write the Poynting vector for this EM wave.

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5. A radio station is radiating EM waves with an average power of Pave = 1500 kW from its vertical antenna whose
length is L = 10 m. Assume that the radiation is spherically symmetric around this antenna.
a) What is the average intensity of the laser light at a distance of 12.2 km from the source point?
b) What is the radiation presure of the laser light at this distance on a totally reflective surface?
c) What are the maximum values of the electric and magnetic fields at this distance?
d)
If the frequency of this EM wave is 10¹0 Hz, figure out the electric and magnetic field vectors as a function
of time and space at this distance. (Write E along y, and B along z direction.)
e)
Write the Poynting vector for this EM wave.
Transcribed Image Text:5. A radio station is radiating EM waves with an average power of Pave = 1500 kW from its vertical antenna whose length is L = 10 m. Assume that the radiation is spherically symmetric around this antenna. a) What is the average intensity of the laser light at a distance of 12.2 km from the source point? b) What is the radiation presure of the laser light at this distance on a totally reflective surface? c) What are the maximum values of the electric and magnetic fields at this distance? d) If the frequency of this EM wave is 10¹0 Hz, figure out the electric and magnetic field vectors as a function of time and space at this distance. (Write E along y, and B along z direction.) e) Write the Poynting vector for this EM wave.
(9) We know that Average intensity is the measure of average
power per unit Area
Iavy
Pary
A
where
Iavy
and
=
=
2
Emax
(b) We know that the Radiation pressure on
given by
PR =
(1+x) Iavg
=
x = reflection
PR =
= 8x10-4 Wm-2
0.80 X 10-3 Wm-²2
Parg =
чля2
2 Iavy
с
2 Javg
CEO
Bmax.:
=
1500 X 10³ W
47 (12-2x10³m) 2
(c) we know that average intensity can be written as
Tavg
= CEo Emax
2
с
coefficient = 1 (for totally Reflecting surface)
Emaa
с
any
2X 8 X 10-4 Wm 2
3х108 mis
2x8x104
3X108 x8-854x10-12
surface is
=
=
Emax. = 0.775 X104 v/m = 7075 x10³ V/m
7.75X103
3x108
= 5.33 X10-¹² Nm ²²
0.602x10² √²/m²
2.58×105T
Transcribed Image Text:(9) We know that Average intensity is the measure of average power per unit Area Iavy Pary A where Iavy and = = 2 Emax (b) We know that the Radiation pressure on given by PR = (1+x) Iavg = x = reflection PR = = 8x10-4 Wm-2 0.80 X 10-3 Wm-²2 Parg = чля2 2 Iavy с 2 Javg CEO Bmax.: = 1500 X 10³ W 47 (12-2x10³m) 2 (c) we know that average intensity can be written as Tavg = CEo Emax 2 с coefficient = 1 (for totally Reflecting surface) Emaa с any 2X 8 X 10-4 Wm 2 3х108 mis 2x8x104 3X108 x8-854x10-12 surface is = = Emax. = 0.775 X104 v/m = 7075 x10³ V/m 7.75X103 3x108 = 5.33 X10-¹² Nm ²² 0.602x10² √²/m² 2.58×105T
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