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Radio Interference. Two radio antennas A and B
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- The next two questions pertain to the same situation. Two antennas located at points A and B are broadcasting radio waves of a certain wavelength λ, perfectly in phase with each other. The two antennas are separated by a distance d = 300 m. An observer is at point P, located on the x-axis, at a distance x=400 m from antenna A, so that APB forms a right triangle with PB as hypotenuse. Another observer is at point Q, located on the y-axis, at a distance y=200 m from A. A d = 300m B x=400 m y y= = 200 m P X 7) For which one of the following wavelength values will the observer at point P detect a maximum signal strength? A) λ = 60 m B) λ = 80 m C) λ = 100 m |D) λ = 120 m E) λ = 140 m 8) If the wavelength of the radio waves used is λ = 50 m, the observer at point Q will see a A) constructive interference B) destructive interference The next two questions pertain to the situation described below.arrow_forwardThe GPS (Global Positioning System) satellites are approximately 5.18 m across and transmit two low-power signals, one of which is at 1575.42 MHz (in the UHF band). In a series of laboratory tests on the satellite, you put two 1575.42 MHz UHF transmitters at opposite ends of the satellite. These broadcast in phase uniformly in all directions. You measure the intensity at points on a circle that is several hundred meters in radius and centered on the satellite. You measure angles on this circle relative to a point that lies along the centerline of the satellite (that is, the perpendicular bisector of a line that extends from one transmitter to the other). At this point on the circle, the measured intensity is 2.00 W/m2 . (a) At how many other angles in the range 0° < θ < 90° is the intensity also 2.00 W/m2 ? (b) Find the four smallest angles in the range 0° < θ < 90° for which the intensity is 2.00 W/m2 . (c) What is the intensity at a point on the circle at an angle of…arrow_forwardTwo 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_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. Now observer P walks along the x axis toward antenna A. What is P's distance from A when they first observe fully constructive interference between the two waves?arrow_forwardRadio waves from a transmitter can be received after traversing a direct path a or an indirect path b involving a ground reflection. This often leads to destructive interference and fading signals in urban area. As shown in the diagram, a transmitter at 88.5 MHz and receiver are located on the rooftop of two separate buildings each 60 meters high, with bare ground between them. What is the maximum separation of buildings that will lead to destructive interference at the receiver? Ignore the reflection phase shift of path b. (1 MHz = 106 Hz)arrow_forwardIn an experiment to demonstrate interference, you connect two antennas to a single radio receiver. When the two antennas are adjacent to each other, the received signal is strong. You leave one antenna in place and move the other one directly away from the radio transmission tower. How far should the second antenna be moved in order to receive a minimum signal from a station that broadcasts at 103.4 MHz?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_forwardTwo in-phase sources emit electromagnetic waves with a wavelength of 2.40 cm. Point P on the curtain is 4.82 meters from the first source and 5.34 meters from the second source. What is the phase difference of the two waves emitted from these sources?arrow_forwardTwo identical vertical radio antennas are 0.810 km apart. Both emit in phase at a frequency of 1.05 MHz = 1.05 * 106 Hz. Find the angles in the range from 0 and 90 at which the intensity measured several kilometers away from these antennas is (a) maximum and (b) minimum.arrow_forward
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