Concept explainers
Two radio antennas
Figure P35.43
Want to see the full answer?
Check out a sample textbook solutionChapter 35 Solutions
UNIVERSITY PHYSICS UCI PKG
Additional Science Textbook Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
College Physics
The Cosmic Perspective
Cosmic Perspective Fundamentals
An Introduction to Thermal Physics
Essential University Physics: Volume 1 (3rd Edition)
- Consider two identical antennas separated by 9.00 m that radiate in phase at 120 MHz. A receiver placed 150 m from both antennas measures an intensity I0. The receiver is moved so that it is 1.8 m closer to one antenna than to the other. a) What is the phase difference ϕ between the two radio waves produced by this path difference? b) In terms of I0, what is the intensity measured by the receiver at its new position?arrow_forwardA radio station has two antennas. The antennas are a distance d apart, where d equals half the broadcast wavelength. The antennas are driven in phase with each other. Let the x-axis be the line that runs through the two antennas. The angles are all measured counterclockwise from the +x-direction. (For the following, assume an observer is positioned a distance D far from the midpoint of the antennas, so that D ≫ d.) (a) In which directions is the strongest signal radiated? 0°, 180° 90°, 270° 0°, 90°, 180°, 270° 45°, 135°, 225°, 315° (b) In which directions is the weakest signal radiated? 0°, 180° 90°, 270° 0°, 90°, 180°, 270° 45°, 135°, 225°, 315°arrow_forwardDiffraction occurs for all types of waves, including sound waves. High-frequency sound from a distant source with wavelength 9.00 cm passes through a slit 12.0 cm wide. A microphone is placed 8.00 m directly in front of the center of the slit, corresponding to point O in Fig. The microphone is then moved in a direction perpendicular to the line from the center of the slit to point O. At what distances from O will the intensity detected by the microphone be zero?arrow_forward
- Two antennas located at points A and B are broadcasting radio waves of frequency 104.0 MHz. The signals start in phase with each other. The two antennas are separated by a distance d = 8.7 m. An observer is located at point P on the x axis, a distance x = 110.0 m from antenna A. The points A, P, and B form a right triangle. What is the phase difference between the waves arriving at P from antennas A and B? Enter your answer in radiansarrow_forwardWhen coherent electromagnetic waves with wavelength l = 120 mm are incident on a single slit of width a, the width of the central maximum on a tall screen 1.50 m from the slit is 90.0 cm. For the same slit and screen, for what wavelength of the incident waves is the width of the central maximum 180.0 cm, double the value when l = 120 mm?arrow_forwardTwo radio antennas radiating in phase are positioned at points A and B, separated by a distance of 200 m (Figure P35.43). Radio waves have a frequency of 5.80 MHz. A radio receiver is moved from point B along a line perpendicular to the line connecting A to B (line BC in the figure)At what distances B will there be destructive interference?Note: The distance between the receiver and the sources is not great compared to the separation of the sources.arrow_forward
- Short-wave radio antennas A and B are connected to the same transmitter and emit coherent waves in phase and with the same frequency f. You must determine the value of f and the placement of the antennas that produce a maximum intensity through constructive interference at a receiving antenna that is located at point P, which is at the corner of your garage. First you place antenna A at a point 240.0 m due east of P. Next you place antenna B on the line that connects A and P, a distance x due east of P, where x < 240.0 m. Then you measure that a maximum in the total intensity from the two antennas occurs when x = 210.0 m, 216.0 m, and 222.0 m. You don’t investigate smaller or larger values of x. (Treat the antennas as point sources.) (a) What is the frequency f of the waves that are emitted by the antennas? (b) What is the greatest value of x, with x < 240.0 m, for which the interference at P is destructive?arrow_forwardMonochromatic electromagnetic radiation with wavelength l from a distant source passes through a slit. The diffraction pattern is observed on a screen 2.50 m from the slit. If the width of the central maximum is 6.00 µm, what is the slit width a if the wavelength is (a) 500 nm (visible light); (b) 50.0 µm (infrared radiation); (c) 0.500 nm (x rays)?arrow_forwardRadio waves from a star, of wavelength 2.50 3 102 m, reach a radio telescope by two separate paths, as shown in Figure P24.13. One is a direct path to the receiver, which is situated on the edge of a cliff by the ocean. The second is by reflection off the water. The first minimum of destructive interference occurs when the star is u 5 25.0° above the horizon. Find the height of the cliff. (Assume no phase change on reflection.)arrow_forward
- Figure P24.69 shows d- radio-wave transmitter and a receiver, both h = 50.0 m above the ground and d = 6.00 X 102 m apart. The receiver can receive signals directly from the transmit- ter and indirectly from signals that bounce off the ground. If the ground is level between the transmitter and receiver and a /2 phase shift occurs upon reflection, determine the longest wave- lengths that interfere (a) constructively and (b) destructively. Transmitter Receiver Figure P24.69arrow_forward= 35. Figure P36.35 shows a radio-wave transmitter and a receiver separated by a distance d 50.0 m and both a distance h = 35.0 m above the ground. The receiver can receive sig- nals both directly from the transmitter and indirectly from signals that reflect from the ground. Assume the ground is level between the transmitter and receiver and a 180° phase shift occurs upon reflection. Determine the longest wave- lengths that interfere (a) constructively and (b) destructively. h Transmitter d Receiver Figure P36.35 Problems 35 and 36.arrow_forwardA microwave is equipped with two sources of microwave light that emit at a frequency of f = 18.8 GHz. The two sources are housed in an air-filled chamber as shown below. The spacing between the sources is d = 5.00 cm. The distance from the left source to the left wall is x, = 17.5 cm. The dimensions of the chamber are height y x = 84.0 cm. = 50.0 cm and width X y X,arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON