Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 24, Problem 23P
To determine
The average magnitude of the Poynting vector corresponds to a radio transmitter used for broadcasting purpose.
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What is the average magnitude of the Poynting vector 9.00 mi from a radio transmitter broadcasting isotropically (equally in all
directions) with an average power of 300 kW?
HW/m2
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An AM radio transmitter broadcasts 54.0 kW of power uniformly in all directions.
(a) Assuming all of the radio waves that strike the ground are completely absorbed, and that there is no absorption by
the atmosphere or other objects, what is the intensity (in W/m2) 26.0 km away? (Hint: Half the power will be spread
over the area of a hemisphere.)
W/m2
(b) What is the maximum electric field strength (in V/m) at this distance?
V/m
A satellite in geostationary orbit is used to transmit data via electromagnetic radiation. The satellite is at a height of 35,000 kmkm above the surface of the earth, and we assume it has an isotropic power output of 1.0 kWkW (although, in practice, satellite antennas transmit signals that are less powerful but more directional).
Reception devices pick up the variation in the electric field vector of the electromagnetic wave sent out by the satellite. Given the satellite specifications listed in the problem introduction, what is the amplitude of the electric field vector of the satellite broadcast as measured at the surface of the earth?
Chapter 24 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 24.1 - Prob. 24.1QQCh. 24.4 - Prob. 24.2QQCh. 24.4 - Prob. 24.3QQCh. 24.4 - Prob. 24.4QQCh. 24.6 - Prob. 24.5QQCh. 24.6 - Prob. 24.6QQCh. 24.7 - Prob. 24.7QQCh. 24 - Prob. 1OQCh. 24 - Prob. 2OQCh. 24 - Prob. 3OQ
Ch. 24 - If plane polarized light is sent through two...Ch. 24 - Prob. 5OQCh. 24 - Prob. 6OQCh. 24 - Prob. 7OQCh. 24 - Prob. 9OQCh. 24 - Prob. 10OQCh. 24 - Prob. 11OQCh. 24 - Consider an electromagnetic wave traveling in the...Ch. 24 - Prob. 1CQCh. 24 - Prob. 2CQCh. 24 - Prob. 3CQCh. 24 - Prob. 4CQCh. 24 - Prob. 5CQCh. 24 - Prob. 6CQCh. 24 - Prob. 7CQCh. 24 - Prob. 8CQCh. 24 - Prob. 9CQCh. 24 - Prob. 10CQCh. 24 - Prob. 11CQCh. 24 - Prob. 12CQCh. 24 - Prob. 1PCh. 24 - Prob. 2PCh. 24 - Prob. 3PCh. 24 - A 1.05-H inductor is connected in series with a...Ch. 24 - Prob. 5PCh. 24 - Prob. 6PCh. 24 - Prob. 7PCh. 24 - An electron moves through a uniform electric field...Ch. 24 - Prob. 9PCh. 24 - Prob. 10PCh. 24 - Prob. 11PCh. 24 - Prob. 12PCh. 24 - Figure P24.13 shows a plane electromagnetic...Ch. 24 - Prob. 14PCh. 24 - Review. A microwave oven is powered by a...Ch. 24 - Prob. 16PCh. 24 - A physicist drives through a stop light. When he...Ch. 24 - Prob. 18PCh. 24 - Prob. 19PCh. 24 - A light source recedes from an observer with a...Ch. 24 - Prob. 21PCh. 24 - Prob. 22PCh. 24 - Prob. 23PCh. 24 - Prob. 24PCh. 24 - Prob. 25PCh. 24 - Prob. 26PCh. 24 - Prob. 27PCh. 24 - Prob. 28PCh. 24 - Prob. 29PCh. 24 - Prob. 30PCh. 24 - Prob. 31PCh. 24 - Prob. 32PCh. 24 - Prob. 33PCh. 24 - Prob. 34PCh. 24 - Prob. 35PCh. 24 - Prob. 36PCh. 24 - Prob. 37PCh. 24 - Prob. 38PCh. 24 - Prob. 39PCh. 24 - Prob. 40PCh. 24 - Prob. 41PCh. 24 - Prob. 42PCh. 24 - Prob. 43PCh. 24 - Prob. 44PCh. 24 - Prob. 45PCh. 24 - Prob. 46PCh. 24 - Prob. 47PCh. 24 - Prob. 48PCh. 24 - You use a sequence of ideal polarizing filters,...Ch. 24 - Prob. 50PCh. 24 - Prob. 51PCh. 24 - Figure P24.52 shows portions of the energy-level...Ch. 24 - Prob. 53PCh. 24 - Prob. 54PCh. 24 - Prob. 55PCh. 24 - Prob. 56PCh. 24 - Prob. 57PCh. 24 - Prob. 58PCh. 24 - Prob. 59PCh. 24 - Prob. 60PCh. 24 - Prob. 61PCh. 24 - Prob. 62PCh. 24 - A dish antenna having a diameter of 20.0 m...Ch. 24 - Prob. 65PCh. 24 - Prob. 66PCh. 24 - Prob. 67PCh. 24 - Prob. 68PCh. 24 - Prob. 69PCh. 24 - Prob. 70PCh. 24 - Prob. 71PCh. 24 - A microwave source produces pulses of 20.0-GHz...Ch. 24 - A linearly polarized microwave of wavelength 1.50...Ch. 24 - Prob. 74PCh. 24 - Prob. 75P
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- A plane electromagnetic wave travels northward. At one instant, its electric field has a magnitude of 6.0 V/m and points eastward. What are the magnitude and direction of the magnetic field at this instant?arrow_forwardWhy is t1 radiation pressure of an electromagnetic wave on a perfectly reflecting surface twice as large as the pressure on a perfectly absorbing surface?arrow_forwardSuppose the maximum safe intensity of microwaves for human exposure is taken to be 1,00 W/m2. (a) If a radar unit leaks 10.0 W of microwaves (other than those sent by its antenna) uniformly in all directions, how far away must you be to be exposed to an intensity considered to be safe? Assume that the power spreads uniformly over the area of a sphere with no complications from absorption or reflection, (b) What is the maximum electric field strength at the safe intensity? (Note that early radar units leaked more than modem ones do. This caused identifiable health problems, such as cataracts, for people who worked near them.)arrow_forward
- Suppose the magnetic field of an electromagnetic wave is given by B = (1.5 1010) sin (kx t) T. a. What is the maximum energy density of the magnetic field of this wave? b. What is maximum energy density of the electric field?arrow_forwardA radio station broadcasts its radio waves with a power of 50,000 W. What would be the intensity of this signal if it is received on a planet orbiting Proxima Centuri, the closest star to our Sun, at 4.243 ly away?arrow_forwardIf the electric field of an electromagnetic wave is oscillating along the z-axis and the magnetic field is oscillating along the x-axis, in what possible direction is the wave traveling?arrow_forward
- Suppose the maximum safe intensity of microwaves for human exposure is taken to be 1.00 W/m2 . (a) If a radar unit leaks 10.0 W of microwaves (other than those sent by its antenna) uniformly in all directions, how far away must you be to be exposed to an intensity considered to be safe? Assume that the power spreads uniformly over the area of a sphere with no complications from absorption or reflection. (b) What is the maximum electric field strength at the safe intensity? (Note that early radar units leaked more than modern ones do. This caused identifiable health problems, such as cataracts, for people who worked near them.)arrow_forwardAn AM radio transmitter broadcasts 46.0 kW of power uniformly in all directions. Assuming all of the radio waves that strike the ground are completely absorbed, and that there is no absorption by the atmosphere or other objects, what is the intensity (in W/m2) 30.0 km away? What is the maximum electric field strength (in V/m) at this distance?arrow_forwardSuppose the maximum safe intensity of microwaves for human exposure is taken to be 1.00W/m2. (a) If a radar unit leaks 10.0W of microwaves (other than those sent by its antenna) uniformly in all directions, how far away must you be to be exposed to an intensity considered to be safe? Assume that the power spreads uniformly over the area of a sphere with no complications from absorption or reflection. (b) What is the maximum electric field strength at the safe intensity? (Note that early radar units leaked more than modern ones do. This caused identifiable health problems, such as cataracts, for people who worked near them.)arrow_forward
- Suppose the maximum safe average intensity of microwaves for human exposure is taken to be 1.00 W/m2. If a radar unit leaks 10.0 W of microwaves (other than those sent by its antenna) uniformly in all directions, how far away, rmin- must you be to be exposed to an average intensity considered to be safe? Assume that the power spreads uniformly over the area of a sphere with no complications from absorption or reflection. Imin What is the maximum electric field strength E, at this distance? The permittivity of free space is €o = 8.854 × 10-12 C²/(N-m²). The speed of light is c = 3.00 x 108 m/s. Eo V/m Note: Early radar units leaked more than modern ones do. This caused identifiable health problems, such as cataracts, for people who worked near them.arrow_forwardAssume (unrealistically) that a TV station acts as a point source broadcasting isotropically at 1.0 MW.What is the intensity of the transmitted signal reaching Proxima Centauri, the star nearest our solar system, 4.3 ly away? (An alien civilization at that distance might be able to watch X Files.) A light-year (ly) is the distance light travels in one year.arrow_forwardShould the straight wire antenna of a radio b vertical or horizontal to best receive radio waves broadcast by a vertical transmitter antenna? How should a loop antenna be aligned to best receive signals? (Note that the direction of the loop that produces the best reception can be used to determine the location of the source. It is used for that purpose in tracking tagged animals in nature studies, for example)arrow_forward
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