A parabolic reflector focuses electromagnetic waves into a beam as shown in the figure. The electromagnetic radiation is pulsed, with a pulse frequency of 19.0 GHz, and the duration of each pulse is t = 1.00 ns. The face of the reflector has a radius of 3.00 cm, and the average power during each pulse is 29.0 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?(b)What is the total energy (in µJ) contained in each pulse?(c)Compute the average energy density (in mJ/m3) inside each pulse.(d)Determine the amplitude of the electric field (in kV/m) and magnetic field (in µT) in these electromagnetic waves.(e)Assuming that this pulsed beam strikes an absorbing surface, compute the force (in µN) exerted on the surface during the 1.00 ns duration of each pulse. A parabolic reflector focuses electromagnetic waves into a beam as shown in the figure. The electromagnetic radiation is pulsed, with a pulse frequency of 19.0 GHz, and the duration of each pulse is t = 1.00 ns. The face of the reflector has a radius of 3.00 cm, and theaverage power during each pulse is 29.0 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 pJ) 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.EmaxkV/mBmax =pT(e) Assuming that this pulsed beam strikes an absorbing surface, compute the force (in pN) exerted on the surface during the 1.00 ns duration of each pulse.UN

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Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter34: Maxwell’s Equations And Electromagnetic Waves

Section: Chapter Questions

Problem 82PQ

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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 19.0 GHz, and the duration of each pulse is

t = 1.00 ns.

The face of the reflector has a radius of 3.00 cm, and the average power during each pulse is 29.0 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?

(b)

What is the total energy (in µJ) contained in each pulse?

(c)Compute the average energy density (in mJ/m³) inside each pulse.

(d)Determine the amplitude of the electric field (in kV/m) and magnetic field (in µT) in these electromagnetic waves.

(e)

Assuming that this pulsed beam strikes an absorbing surface, compute the force (in µN) exerted on the surface during the 1.00 ns duration of each pulse.

A parabolic reflector focuses electromagnetic waves into a beam as shown in the figure. The electromagnetic radiation is pulsed, with a pulse frequency of 19.0 GHz, and the duration of each pulse is t = 1.00 ns. The face of the reflector has a radius of 3.00 cm, and the
average power during each pulse is 29.0 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 pJ) 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
Bmax =
pT
(e) Assuming that this pulsed beam strikes an absorbing surface, compute the force (in pN) exerted on the surface during the 1.00 ns duration of each pulse.
UN

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