University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 16, Problem 11CQ
What is the physical significance of the Poynting vector?
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The electric field in a sine wave has a peak value of 32.6 mV/m. Calculate the magnitude of the Poynting vector in this case.
True or False. If false, please explain
The time average of the magnitude of the Poynting vector is the intensity of the EM-wave.
In a region of free space, the electric field at an instant of time is vector E = (8 i hat + 2 j hat - 6 k hat) N/C and the magnetic field is vector B = (2 i hat + 1 j hat + 3 k hat) x 10^(-8) T.
a) Show that the two fields are perpendicular to each other
b) Determine the Poynting vector for these fields
Chapter 16 Solutions
University Physics Volume 2
Ch. 16 - Check Your Understanding When the emf across a...Ch. 16 - Check Your Understanding Could a purely electric...Ch. 16 - Check Your Understanding The wave equation was...Ch. 16 - Check Your Understanding What conclusions did our...Ch. 16 - Check Your Understanding How would the speed and...Ch. 16 - Check Your Understanding How do the...Ch. 16 - Explain how the displacement current maintains the...Ch. 16 - Describe the field lines of the induced magnetic...Ch. 16 - Why is it much easier to demonstrate in a student...Ch. 16 - If the electric field of an electromagnetic wave...
Ch. 16 - In which situation shown below will the...Ch. 16 - In which situation shown below will the...Ch. 16 - Under what conditions might wires in a circuit...Ch. 16 - Shown below is the interference pattern of two...Ch. 16 - When you stand outdoors in the sunlight, y can you...Ch. 16 - How does the intensity of an electromagnetic wave...Ch. 16 - What is the physical significance of the Poynting...Ch. 16 - A 2.0-mW helium-neon laser transmits a continuous...Ch. 16 - Why is t1 radiation pressure of an electromagnetic...Ch. 16 - Why did the early Hubble Telescope photos of...Ch. 16 - (a) If the electric field and magnetic field in a...Ch. 16 - Compare the speed, wavelength, and frequency of...Ch. 16 - Accelerating electric charge emits electromagnetic...Ch. 16 - Compare and contrast the meaning of the prefix...Ch. 16 - Part of the light passing through the air is...Ch. 16 - When a bowl of soup is removed from a microwave...Ch. 16 - Certain orientations of a broadcast television...Ch. 16 - What property of light corresponds to loudness in...Ch. 16 - Is the visible region a major portion of the...Ch. 16 - Can the human body detect electromagnetic...Ch. 16 - Radio waves normally have their E and B fields in...Ch. 16 - Give an example of resonance in the reception of...Ch. 16 - Illustrate that the size of details of an object...Ch. 16 - In which pan of the electromagnetic spectrum are...Ch. 16 - In what range of electromagnetic radiation are the...Ch. 16 - If a microwave oven could be modified to merely...Ch. 16 - A leaky microwave oven in a home can sometimes...Ch. 16 - When a television news anchor in a studio speaks...Ch. 16 - Show that the magnetic field at a distance r from...Ch. 16 - Express the displacement current in a capacitor in...Ch. 16 - A potential difference V(t) = V0sin tis maintained...Ch. 16 - Suppose the parallel-plate capacitor shown below...Ch. 16 - The potential difference V(t) between parallel...Ch. 16 - A parallel-plate capacitor has a plate area of...Ch. 16 - The voltage across a parallel-plate capacitor with...Ch. 16 - The voltage across a parallel-plate capacitor with...Ch. 16 - If the Sun suddenly turned off, we would not know...Ch. 16 - What is the maximum electric field strength in an...Ch. 16 - An electromagnetic wave has a frequency of 12 MHz....Ch. 16 - If electric and magnetic field strengths vary...Ch. 16 - The electric field of an electromagnetic wave...Ch. 16 - A plane electromagnetic wave of frequency 20 GHz...Ch. 16 - The following represents an electromagnetic wave...Ch. 16 - While outdoors on a sunny day, a student holds a...Ch. 16 - A plane electromagnetic wave travels northward. At...Ch. 16 - The electric field of an electromagnetic wave is...Ch. 16 - A radio station broadcasts at a frequency of 760...Ch. 16 - The filament in a clear incandescent light bulb...Ch. 16 - At what distance does a 100-W lightbulb produce...Ch. 16 - An incandescent light bulb emits only 2.6 W of its...Ch. 16 - A 150-W lightbulb emits 5% of its energy as...Ch. 16 - A small helium-neon laser has a power output of...Ch. 16 - At the top of Earth’s atmosphere, the...Ch. 16 - The magnetic field of a plane electromagnetic wave...Ch. 16 - What is the intensity of an electromagnetic wave...Ch. 16 - Assume the helium-neon lasers commonly used in...Ch. 16 - An AM radio transmitter broadcasts 50.0 kW of...Ch. 16 - Suppose the maximum safe intensity of microwaves...Ch. 16 - A 2.50-rn-diameter university communications...Ch. 16 - Lasers can be constructed that produce an...Ch. 16 - A 1-W lightbulb emits 5% of its energy as...Ch. 16 - What pressure does light emitted uniformly in all...Ch. 16 - A microscopic spherical dust particle of radius 2m...Ch. 16 - A Styrofoam spherical ball of radius 2 mm and mass...Ch. 16 - Suppose that S avg for sunlight at a point on the...Ch. 16 - reaches the ground with an intensity of about...Ch. 16 - Suppose a spherical particle of mass m and radius...Ch. 16 - How many helium atoms, each with a radius of about...Ch. 16 - If you wish to detect details of the size of atoms...Ch. 16 - Find the frequency range of visible light, given...Ch. 16 - (a) Calculate the wavelength range for AM radio...Ch. 16 - Radio station WWVB, operated by the National...Ch. 16 - An outdoor WIFi unit for a picnic area has a...Ch. 16 - The prefix “mega” (M) and “kilo” (k), when...Ch. 16 - A computer user finds that his wireless router...Ch. 16 - (a) The ideal size (most efficient) for a...Ch. 16 - What are the wavelengths of (a) X-rays of...Ch. 16 - For red light of =660nm , what are f,, and k?Ch. 16 - A radio transmitter broadcasts plane...Ch. 16 - (a) Two microwave frequencies authorized for use...Ch. 16 - During normal beating, the heart creates a maximum...Ch. 16 - Distances in space are often quoted in units of...Ch. 16 - A certain 60.0-Hz ac power line radiates an...Ch. 16 - (a) What is the frequency of the 193-nm...Ch. 16 - In a region of space, the electric field is...Ch. 16 - A microwave oven uses electromagnetic waves of...Ch. 16 - Galileo proposed measuring the speed of light by...Ch. 16 - Show that the wave equation in one dimension...Ch. 16 - On its highest power setting, a microwave oven...Ch. 16 - A certain microwave oven projects 1.00 kW of...Ch. 16 - E1ecmagnedc radiation from a 5.00-mW laser is...Ch. 16 - A 200-turn flat coil of wire 30.0 cm in diameter...Ch. 16 - Suppose a source of electromagnetic waves radiates...Ch. 16 - A radio station broadcasts its radio waves with a...Ch. 16 - The Poynting vector describes a flow of energy...Ch. 16 - The Sun’s energy strikes Earth at an intensity of...Ch. 16 - If a Lightsail spacecraft were sent on a Mars...Ch. 16 - Lunar astronauts placed a reflector on the Moon’s...Ch. 16 - Radar is used to determine distances to various...Ch. 16 - Calculate the ratio of the highest to lowest...Ch. 16 - How does the wavelength of radio waves for an AM...Ch. 16 - A parallel-plate capacitor with plate separation d...Ch. 16 - A particle of cosmic dust has a density =2.0g/cm3...
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- The Poynting vector describes a flow of energy whenever electric and magnetic fields are present. Consider a long cylindrical wire of radius r with a current I in the wire, with resistance R and voltage V. From the expressions for the electric field along the wire and the magnetic field around the wire, obtain the magnitude and direction of the Poynting vector at the surface. Show that it accounts for an energy flow into the wire from the fields around it that accounts for the Ohmic heating of the wire.arrow_forwardThe electric field of an electromagnetic wave is given by E=(6.0103V/m)sin[2(x18mt6.0 10 8s)] j Write the equations for the associated magnetic field and Poynting vector.arrow_forwardA linearly polarized microwave of wavelength 1.50 cm is directed along the positive x axis. The electric field vector has a maximum value of 175 V/m and vibrates in the xy plane. Assuming the magnetic field component of the wave can be written in the form B = Bmax sin (kx t), give values for (a) Bmax, (b) k, and (c) . (d) Determine in which plane the magnetic field vector vibrates. (e) Calculate the average value of the Poynting vector for this wave. (f) If this wave were directed at normal incidence onto a perfectly reflecting sheet, what radiation pressure would it exert? (g) What acceleration would be imparted to a 500-g sheet (perfectly reflecting and at normal incidence) with dimensions of 1.00 m 0.750 m?arrow_forward
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- A linearly polarized microwave of wavelength 1.50 cm is directed along the positive x axis. The electric field vector has a maximum value of 175 V/m and vibrates in the xy plane. Assuming the magnetic field component of the wave can be written in the form B = Bmax sin (kx t), give values for (a) Bmax, (b) k, and (c) .(d) Determine in which plane the magnetic field vector vibrates. (e) Calculate the average value of the Poynting vector for this wave. (f) If this wave were directed at normal incidence onto a perfectly reflecting sheet, what radiation pressure would it exert? (g) What acceleration would be imparted to a 500-g sheet (perfectly reflecting and at normal incidence) with dimensions of 1.00 m 0.750 m?arrow_forwardIf plane polarized light is sent through two polarizers, the first at 45 to the original plane of polarization and the second at 90 to the original plane of polarization, what fraction of the original polarized intensity passes through the last polarizer? (a) 0 (b) 14 (c) 12 (d) 18 (e) 110arrow_forwardDescribe what you understand by Poynting vectorarrow_forward
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