A parabolic reflector focuses electromagnetic waves into a beam as shown in the figure. The electromagnetic radiation is pulsed, with a pulse frequency of 16.0 GHz, and the duration of each pulse is t = 1.00 ns. The face of the reflector has a radius of 5.00 cm, and the average power during each pulse is 20.0 kW. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.)

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
10th Edition
ISBN:9781337399128
Author:Russell E. Smith
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Chapter7: Alternating Current, Power Distribution, And Voltage Systems
Section: Chapter Questions
Problem 11RQ
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A parabolic reflector focuses electromagnetic waves into a beam as shown in the figure. The electromagnetic radiation is pulsed,
with a pulse frequency of 16.0 GHz, and the duration of each pulse is t = 1.00 ns. The face of the reflector has a radius of
5.00 cm, and the average power during each pulse is 20.0 kW. (Due to the nature of this problem, do not use rounded
intermediate values in your calculations-including answers submitted in WebAssign.)
(a) What is the wavelength (in cm) of these electromagnetic waves?
cm
(b) What is the total energy (in µJ) contained in each pulse?
(c) Compute the average energy density (in mJ/m³) inside each pulse.
mJ/m³
(d) Determine the amplitude of the electric field (in kV/m) and magnetic field (in µT) in these electromagnetic waves.
Emax
kV/m
%3D
B max
HT
(e) Assuming that this pulsed beam strikes an absorbing surface, compute the force (in uN) exerted on the surface during the
1.00 ns duration of each pulse.
µN
Transcribed Image Text:A parabolic reflector focuses electromagnetic waves into a beam as shown in the figure. The electromagnetic radiation is pulsed, with a pulse frequency of 16.0 GHz, and the duration of each pulse is t = 1.00 ns. The face of the reflector has a radius of 5.00 cm, and the average power during each pulse is 20.0 kW. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) What is the wavelength (in cm) of these electromagnetic waves? cm (b) What is the total energy (in µJ) contained in each pulse? (c) Compute the average energy density (in mJ/m³) inside each pulse. mJ/m³ (d) Determine the amplitude of the electric field (in kV/m) and magnetic field (in µT) in these electromagnetic waves. Emax kV/m %3D B max HT (e) Assuming that this pulsed beam strikes an absorbing surface, compute the force (in uN) exerted on the surface during the 1.00 ns duration of each pulse. µN
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