College Physics:
11th Edition
ISBN: 9781305965515
Author: SERWAY, Raymond A.
Publisher: Brooks/Cole Pub Co
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Chapter 20, Problem 22P
An N-turn circular wire coil of radius r lies in the xy-plane (the plane of the page), as in Figure P20.10. A uniform magnetic field is turned on, increasing steadily from 0 to B0 in the positive z-direction in t seconds. (a) Find a symbolic expression for the emf, ε, induced in the coil in terms of the variables given. (b) looking down on at the xy-plane from the positive z-axis, is the direction of the induced current clockwise or counterclockwise? (c) If each loop has resistance R, find an expression for the magnitude of the induced current, I.
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Chapter 20 Solutions
College Physics:
Ch. 20.2 - Prob. 20.1QQCh. 20.2 - A bar magnet is falling toward the center of a...Ch. 20.2 - Two circular loops are side by side and lie in the...Ch. 20.3 - A horizontal metal bar oriented east-west drops...Ch. 20.3 - You intend to move a rectangular loop of wire into...Ch. 20.6 - Prob. 20.6QQCh. 20 - A bar magnet is held stationary while a circular...Ch. 20 - Does dropping a magnet down a copper tube produce...Ch. 20 - Figure CQ20.3 shows three views of a circular loop...Ch. 20 - A loop of wire is placed in a uniform magnetic...
Ch. 20 - As the conducting bar in Figure CQ20.5 moves to...Ch. 20 - How is electrical energy produced in dams? (That...Ch. 20 - Figure CQ20.7 shows a slidewire generator with...Ch. 20 - As the bar in Figure CQ20.5 moves perpendicular to...Ch. 20 - Eddy current are induced currents set up in a...Ch. 20 - The switch S in Figure 20.27 is closed at t = 0...Ch. 20 - A piece of aluminum is dropped vertically downward...Ch. 20 - When the switch in Figure CQ20.12a is closed, a...Ch. 20 - Prob. 13CQCh. 20 - A magneto is used to cause the spark in a spark...Ch. 20 - A uniform magnetic field of magnitude 0.50 T is...Ch. 20 - Find the flux of Earths magnetic field of...Ch. 20 - Prob. 3PCh. 20 - A long, straight wire carrying a current of 2.00 A...Ch. 20 - Prob. 5PCh. 20 - A magnetic field of magnitude 0.300 T is oriented...Ch. 20 - A cube of edge length = 2.5 cm is positioned as...Ch. 20 - Transcranial magnetic stimulation (TMS) is a...Ch. 20 - Three loops of wire move near a long straight wire...Ch. 20 - The flexible loop in Figure P20.10 has a radius of...Ch. 20 - Inductive charging is used to wirelessly charge...Ch. 20 - Medical devices implanted inside the body are...Ch. 20 - A technician wearing a circular metal band on his...Ch. 20 - In Figure P20.14, what is the direction of the...Ch. 20 - Prob. 15PCh. 20 - Find the direction of the current in the resistor...Ch. 20 - A circular loop of wire lies below a long wire...Ch. 20 - A square, single-turn wire loop = 1.00 cm on a...Ch. 20 - Prob. 19PCh. 20 - A circular coil enclosing an area of 100 cm2 is...Ch. 20 - To monitor the breathing of a hospital patient, a...Ch. 20 - An N-turn circular wire coil of radius r lies in...Ch. 20 - A truck is carrying a steel beam of length 15.0 m...Ch. 20 - Prob. 24PCh. 20 - Prob. 25PCh. 20 - In one of NASAs space tether experiments, a...Ch. 20 - Prob. 27PCh. 20 - An astronaut is connected to her spacecraft by a...Ch. 20 - Prob. 29PCh. 20 - Prob. 30PCh. 20 - Prob. 31PCh. 20 - Prob. 32PCh. 20 - Considerable scientific work is currently under...Ch. 20 - A flat coil enclosing an area of 0.10 m2 is...Ch. 20 - A generator connected to the wheel or hub of a...Ch. 20 - A motor has coils with a resistance of 30.0 and...Ch. 20 - A coil of 10.0 turns is in the shape of an eclipse...Ch. 20 - Prob. 38PCh. 20 - Prob. 39PCh. 20 - Prob. 40PCh. 20 - Prob. 41PCh. 20 - An emf of 24.0 mV is induced in a 500-turn coil...Ch. 20 - Prob. 43PCh. 20 - Prob. 44PCh. 20 - Prob. 45PCh. 20 - Prob. 46PCh. 20 - Prob. 47PCh. 20 - Prob. 48PCh. 20 - Prob. 49PCh. 20 - Prob. 50PCh. 20 - Prob. 51PCh. 20 - Prob. 52PCh. 20 - Additional Problems Two circular loop of wire...Ch. 20 - Prob. 54APCh. 20 - Prob. 55APCh. 20 - Prob. 56APCh. 20 - An 820-turn wire coil of resistance 24.0 is...Ch. 20 - A spacecraft is in 4 circular orbit of radius...Ch. 20 - Prob. 59APCh. 20 - Prob. 60APCh. 20 - Prob. 61APCh. 20 - Prob. 62APCh. 20 - The magnetic field shown in Figure P20.63 has a...Ch. 20 - Prob. 64APCh. 20 - In Figure P20.65 the rolling axle of length 1.50 m...Ch. 20 - An N-turn square coil with side and resistance R...Ch. 20 - A conducting rectangular loop of mass M,...
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- Figure P23.58 is a graph of the induced emf versus time for a coil of N turns rotating with angular speed ω in a uniform magnetic field directed perpendicular to the coil’s axis of rotation. What If? Copy this sketch (on a larger scale) and on the same set of axes show the graph of emf versus t (a) if the number of turns in the coil is doubled, (b) if instead the angular speed is doubled, and (c) if the angular speed is doubled while the number of turns in the coil is halved. Figure P23.58arrow_forwardA flat, square coil of 20 turns that has sides of length 15.0 cm is rotating in a magnetic field of strength 0.050 T. If tlie maximum emf produced in die coil is 30.0 mV, what is the angular velocity of the coil?arrow_forwardA thin conducting bar (60.0 cm long) aligned in the positive y direction is moving with velocity v=(1.25m/s)i in a region with a spatially uniform 0.400-T magnetic field directed at an angle of 36.0 above the xy plane. a. What is the magnitude of the emf induced along the length of the moving bar? b. Which end of the bar is positively charged?arrow_forward
- The magnetic field through a square loop of wire with sides of length 3.00 cm changes with time as shown in Figure P32.8, where the sign indicates the direction of the field relative to the axis of the loop. Plot the emf induced in the loop versus time. FIGURE P32.8arrow_forwardA Figure P32.74 shows an N-turn rectangular coil of length a and width b entering a region of uniform magnetic field of magnitude Bout directed out of the page. The velocity of the coil is constant and is upward in the figure. The total resistance of the coil is R. What are the magnitude and direction of the magnetic force on the coil a. when only a portion of the coil has entered the region with the field, b. when the coil is completely embedded in the field, and c. as the coil begins to exit the region with the field?arrow_forwardA circular loop of wire with a radius of 4.0 cm is in a uniform magnetic field of magnitude 0.060 T. The plane of the loop is perpendicular to the direction of the magnetic field. In a time interval of 0.50 s, the magnetic field changes to the opposite direction with a magnitude of 0.040 T. What is the magnitude of the average emf induced in the loop? (a) 0.20 V (b) 0.025 V (c) 5.0 mV (d) 1.0 mV (e) 0.20 mVarrow_forward
- (a) If the emf of a coil rotating in a magnetic field is zero at t = 0, and increases to its first peak at t = 0.100 ms, what is the angular velocity of the coil? (b) At what time will its next maximum occur? (c) What is the period of the output? (d) When is the output first one-fourth at its maximum? (e) When is it next one-fourth at its maximum?arrow_forwardA bar magnet is held in a vertical orientation above a loop of wire that lies in the horizontal plane as shown in Figure OQ23.13. The south end of the magnet is toward the loop. After the magnet is dropped, what is true of the induced current in the loop as viewed from above? (a) It is clockwise as the magnet falls toward the loop. (b) It is counterclockwise as the magnet falls toward the loop. (c) It is clockwise after the magnet has moved through the loop and moves away from it. (d) It is always clockwise. (e) It is first counterclockwise as the magnet approaches the loop and then clockwise after it has passed through the loop.arrow_forwardA loop of wire in the shape of a rectangle of width w and length L and a long, straight wire carrying a current I lie on a tabletop as shown in Figure P23.7. (a) Determine the magnetic flux through the loop due to the current I. (b) Suppose the current is changing with time according to I = a + bt, where a and b are constants. Determine the emf that is induced in the loop if b = 10.0 A/s, h = 1.00 cm, w = 10.0 cm, and L = 1.00 m. (c) What is the direction of the induced current in the rectangle? Figure P23.7arrow_forward
- Design a current loop that, when rotated in a uniform magnetic field of strength 0.10 T, will produce an emf =0 sin t. where 0=110V and 0=110V .arrow_forwardReview. Figure P31.31 shows a bar of mass m = 0.200 kg that can slide without friction on a pair of rails separated by a distance = 1.20 m and located on an inclined plane that makes an angle = 25.0 with respect to the ground. The resistance of the resistor is R = 1.00 and a uniform magnetic field of magnitude B = 0.500 T is directed downward, perpendicular to the ground, over the entire region through which the bar moves. With what constant speed v does the bar slide along the rails?arrow_forwardAn instrument based on induced emf has been used to measure projectile speeds up to 6 km/s. A small magnet is imbedded in the projectile as shown in Figure P23.2. The projectile passes through two coils separated by a distance d. As the projectile passes through each coil, a pulse of emf is induced in the coil. The time interval between pulses can be measured accurately with an oscilloscope, and thus the speed can be determined. (a) Sketch a graph of V versus t for the arrangement shown. Consider a current that flows counterclockwise as viewed from the starting point of the projectile as positive. On your graph, indicate which pulse is from coil 1 and which is from coil 2. (b) If the pulse separation is 2.40 ms and d = 1.50 m, what is the projectile speed? Figure P23.2arrow_forward
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What is Electromagnetic Induction? | Faraday's Laws and Lenz Law | iKen | iKen Edu | iKen App; Author: Iken Edu;https://www.youtube.com/watch?v=3HyORmBip-w;License: Standard YouTube License, CC-BY