College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
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Textbook Question
Chapter 21, Problem 17P
The magnetic flux through three different coils is changing as shown in Figure P21.17. For each situation, draw a corresponding graph showing quantitatively how the induced emf changes with time.
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16. The magnetic flux through three different coils is changing as shown in Figure P21.160.
For each situation, draw a corresponding graph showing qualitatively how the induced
emf changes with time.
Figure P21.16
(a) Φ
(b) Φ
KAR
The flexible loop in Figure P20.10 has a radius of 12 cm and is in a magnetic field of strength 0.15 T. The loop is grasped at points A and B and stretched until its area is nearly zero. If it takes 0.20 s to close the loop, what is the magnitude of the average induced emf in it during this time?
17. The magnetic flux through three different coils is changing as shown in
Figure P21.17. For each situation, draw a corresponding graph showing
quantitatively how the induced emf changes with time.
FIGURE P21.17
$(T•m²)
0.4
0.2
0
0
2
4
(T • mỏ)
0.4
0
01234
p(T•mỏ)
+0.2
A
1 2 3
t(s) -0.2
-t (s)
Chapter 21 Solutions
College Physics
Ch. 21 - Review Question 21.1 Your friend thinks that...Ch. 21 - Review Question 21.2 You have a bar magnet and a...Ch. 21 - Review Question 21.3 What difficulty would occur...Ch. 21 - Review Question 21.4 Why do we write the law of...Ch. 21 - Review Question 21.5 How does the law of...Ch. 21 - Review Question 21.6 A capacitor in an electric...Ch. 21 - Prob. 7RQCh. 21 - Review Question 21.8 Explain how (a) an electric...Ch. 21 - 1. In which of the experiments with a loop and a...Ch. 21 - If you move the coil in Figure Q21.2 toward the N...
Ch. 21 - The magnetic flux through a 100-cm2 loop is...Ch. 21 - Your friend says that the emf induced in a coil...Ch. 21 - 5. A metal ring lies on a table. The S pole of a...Ch. 21 - 6. One coil is placed on lop of another The bottom...Ch. 21 - Two coils are placed next to each other flat on...Ch. 21 - 8. Two identical bar magnets are dropped...Ch. 21 - A windows metal frame is essentially a metal loop...Ch. 21 - Four identical loops move at the same velocity...Ch. 21 - A 12-V automobile battery provides the thousands...Ch. 21 - A respiration detector consists of a coil placed...Ch. 21 - A parallel plate capacitor and a lightbulb are...Ch. 21 - Prob. 14MCQCh. 21 - A bar magnet falling with the north pole facing...Ch. 21 - 16. An induction cooktop has a smooth surface When...Ch. 21 - Describe three common applications of...Ch. 21 - 18. Two rectangular loops A and B are near each...Ch. 21 - A simple metal detector has a coil with an...Ch. 21 - 20. Construct flux-versus-time and emf-versus-time...Ch. 21 - How is it possible to get a 2000-V emf from a...Ch. 21 - You connect a capacitor and a lightbulb in series...Ch. 21 - Prob. 23CQCh. 21 - * You and your friend are performing experiments...Ch. 21 - You decide to use a metal ring as an indicator of...Ch. 21 - * To check whether a lightbulb permanently...Ch. 21 - * Flashlight without batteries A flashlight that...Ch. 21 - You need to invent a practical application for a...Ch. 21 - * Detect burglars entering windows. Describe how...Ch. 21 - 7. * A coil connected to an ammeter can detect...Ch. 21 - * The B field in a region has a magnitude of 0.40...Ch. 21 - 9. EST How do you position a bicycle tire so that...Ch. 21 - * EST Estimate the magnetic flux through your head...Ch. 21 - 11. * Estimate the magnetic flux through the...Ch. 21 - Prob. 12PCh. 21 - 13. You have the apparatus shown in Figure P21.13....Ch. 21 - * You suggest that eddy currents can stop the...Ch. 21 - * Your friend thinks that an induced magnetic...Ch. 21 - The magnetic flux through three different coils is...Ch. 21 - 17. The magnetic flux through three different...Ch. 21 - 18. A magnetic field passing through two coils of...Ch. 21 - BIO Stimulating the brain in transcranial magnetic...Ch. 21 - * To measure a magnetic field produced by an...Ch. 21 - Prob. 21PCh. 21 - 22 * BIO Breathing monitor An apnea monitor for...Ch. 21 - 23. * A bar magnet induces a current in an -turn...Ch. 21 - * An experimental apparatus has two parallel...Ch. 21 - A Boeing 747 with a 65-m wingspan is cruising...Ch. 21 - Prob. 27PCh. 21 - 28. ** BIO EST Magnetic field and brain cells...Ch. 21 - * You need to test Faraday's law You have a...Ch. 21 - 30. * You build a coil of radius r (m) and place...Ch. 21 - * EST Generator for space station Astronauts on a...Ch. 21 - 35. * A toy electric generator has a 20-tum...Ch. 21 - 36. * A generator has a 450-turn coil that is 10...Ch. 21 - 39. * A generator has a 100-turn coil that rotates...Ch. 21 - Prob. 40PCh. 21 - * A rectangular wire loop is moving with constant...Ch. 21 - field that points into the page (Figure P21.42)....Ch. 21 - 43. The voltage across an AC power supply is given...Ch. 21 - 44. * The alternating current through a capacitor...Ch. 21 - * The alternating current through a solenoid is...Ch. 21 - 46. * The rms voltage of household AC in Europe is...Ch. 21 - Prob. 47PCh. 21 - Prob. 48PCh. 21 - 49. You need to build a transformer that can step...Ch. 21 - 50. Your home’s electric doorbell operates on 10...Ch. 21 - 51. A 9.0-V battery and switch are connected in...Ch. 21 - * You are fixing a transformer for a toy truck...Ch. 21 - 53. * A wire loop has a radius of 10 cm. A...Ch. 21 - BIO Hammerhead shark A hammerhead shark (Figure...Ch. 21 - ** You have a 12-V battery, some wire, a switch,...Ch. 21 - 61.* EST A sparker used to ignite lighter fluid in...Ch. 21 - * EST Design a magnetometer Your friend needs to...Ch. 21 - Prob. 63GPCh. 21 - 64 EST MRI Jose needs an MRI (magnetic resonance...Ch. 21 - * Magstripe reader A magstripe reader used to read...Ch. 21 - 66. Show that when a metal rod L meters long moves...Ch. 21 - 67. ** EST The Tower of Terror ride Magnetic...Ch. 21 - BIO Magnetic induction tomography (MIT) Magnetic...Ch. 21 - BIO Magnetic induction tomography (MIT) Magnetic...Ch. 21 - BIO Magnetic induction tomography (MIT) Magnetic...Ch. 21 - BIO Magnetic induction tomography (MIT) Magnetic...Ch. 21 - BIO Magnetic induction tomography (MIT) Magnetic...Ch. 21 - BIO Magnetic induction tomography (MIT) Magnetic...Ch. 21 - BIO Magnetic induction tomography (MIT) Magnetic...Ch. 21 - BIO Magnetic induction tomography (MIT) Magnetic...Ch. 21 - BIO Magnetic induction tomography (MIT) Magnetic...
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- A coil with a self-inductance of 3.0 H and a resistance of 100 2 carries a steady current of 2.0 A. (a) What is the energy stored in the magnetic field of the coil? (b) What is the energy per second dissipated in the resistance of the coil?arrow_forwardWhen a wire carries an AC current with a known frequency, you can use a Rogowski coil to determine the amplitude Imax of the current without disconnecting the wire to shunt the current through a meter. The Rogowski coil, shown in Figure P23.8, simply clips around the wire. It consists of a toroidal conductor wrapped around a circular return cord. Let n represent the number of turns in the toroid per unit distance along it. Let A represent the cross-sectional area of the toroid. Let I(t) = Imax sin t represent the current to be measured. (a) Show that the amplitude of the emf induced in the Rogowski coil is Emax=0nAImax. (b) Explain why the wire carrying the unknown current need not be at the center of the Rogowski coil and why the coil will not respond to nearby currents that it does not enclose. Figure P23.8arrow_forwardA transformer is used to supply a 12-V model train with power from a 110-V wall plug. The train operates at 50 W of power, (a) What is the rms current in the secondary coil of the transformer? (b) What is me rms current in the primary coil? (c) What is the ratio of the number of primary to secondary turns? (d) What is the resistance of the tram? (e) What is the resistance seen by the 110-V source?arrow_forward
- 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_forwardThe 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_forwardThe magnetic field through a circular loop of radius 10.0 cm varies with time as shown below. The field is perpendicular to the loop. Plot the magnitude of the induced emf in the loop as a inaction of time.arrow_forward
- A coil with a self-inductance of 2.0 H carries a current that varies with time according to I(t) = (2.0 A)sin 120t . Find an expression for the emf induced in the coil.arrow_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_forwardThe 335-kV ac electricity from a power transmission line is fed into the primary winding of a transformer. The ratio of the number of turns in the secondary winding to the number in the primary winding is Ns/Np=100 . (a) What voltage is induced in the secondary winding? (b) What is unreasonable about this result? (c) Which assumption or premise is responsible?arrow_forward
- A 120-V, series-wound dc motor draws 0.50 A from its power source when operating at full speed, and it draws 2.0 A when it starts. The resistance of the armature coils is 10 , (a) What is the resistance of the field coils? (b) What is tire back emf of the motor when it is running at full speed? (c) The motor operates at a different speed and draws 1.0 A from the source. What is the back emf in this case?arrow_forwardA long solenoid with 10 turns per centimeter is placed inside a copper ring such that both objects hove the same central axis. The radius of the ring is 10.0 cm. and the radius of the solenoid is 5.0 cm. (a) What is the emf induced in the ring when the current 2 through the solenoid is 5.0 A and changing at a rate of 100 A/s? (b) What is the emf induced in the ring when 1=2.0A and. dI/dt=100A/s ? (c) What is the electric field inside the ring for these two cases? id: Suppose the ring is moved so that its central axis and the central axis of the solenoid are still parallel but no longer coincide. (You should assume that the solenoid is still inside die ring.) New what is the emf induced in the ring? (el Can you calculate the electric field in die ring as you did in part (c)?arrow_forwardAn 820-turn wire coil of resistance 24.0 is placed on lop of a 12 500-turn, 7.00-cm-long solenoid, as in Figure P20.57. Both coil and solenoid have cross-sectional area of 1.00 104 m2. (a) How long does it take the solenoid current to reach 0.632 times its maximum value? (b) Determine the average back emf caused by the self-inductance of the solenoid during this interval. The magnetic field produced by the solenoid at the location of the coil is one-half as strong as the field at the center of the solenoid. (c) Determine the average rate of change in magnetic flux through each turn of the coil during the stated interval. (d) Find the magnitude of the average induced current in the coil. Figure P20.57arrow_forward
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