Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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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.
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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
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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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