a.) Beale Air Force Base in Marysville hosts one of the nation's critical early warning radar systems. Named PAVE PAWS, it is designed to detect and track submarine- launched ballistic missiles originating from the Pacific Ocean. It operates at frequency 420 MHz and has an average power of 146 kW. Determine the magnitudes of the electric and magnetic field amplitudes at a distance of 10 km from the radar face. (Assume the radiation forms a uniform hemispherical shape.)

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5.)
Electromagnetic Waves
a.) Beale Air Force Base in Marysville hosts one of the nation's critical early warning
radar systems. Named PAVE PAWS, it is designed to detect and track submarine-
launched ballistic missiles originating from the Pacific Ocean. It operates at frequency
420 MHz and has an average power of 146 kW. Determine the magnitudes of the
electric and magnetic field amplitudes at a distance of 10 km from the radar face.
(Assume the radiation forms a uniform hemispherical shape.)
b.) A beam of light travels in vacuum along the positive x-axis. Its magnetic field is:
B = -0.014 cos (1.38 x 104 x - of) j
Determine its angular frequency, wavelength and the corresponding electric field vector
and Poynting vector. (N.B., use Cartesian unit vectors to denote directions for E and S.)
E =
S=
c.) From our definition of the Poynting vector, (S-E x B), find the direction of the
unknown vector in each case:
ii.)
BO
S
E
SE
iv.)
BE
B
Transcribed Image Text:5.) Electromagnetic Waves a.) Beale Air Force Base in Marysville hosts one of the nation's critical early warning radar systems. Named PAVE PAWS, it is designed to detect and track submarine- launched ballistic missiles originating from the Pacific Ocean. It operates at frequency 420 MHz and has an average power of 146 kW. Determine the magnitudes of the electric and magnetic field amplitudes at a distance of 10 km from the radar face. (Assume the radiation forms a uniform hemispherical shape.) b.) A beam of light travels in vacuum along the positive x-axis. Its magnetic field is: B = -0.014 cos (1.38 x 104 x - of) j Determine its angular frequency, wavelength and the corresponding electric field vector and Poynting vector. (N.B., use Cartesian unit vectors to denote directions for E and S.) E = S= c.) From our definition of the Poynting vector, (S-E x B), find the direction of the unknown vector in each case: ii.) BO S E SE iv.) BE B
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