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University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Question
Chapter 29, Problem 29.19E
(a)
To determine
The direction of current in resistor ab when the switch S is opened after having been closed for several minutes.
(b)
To determine
The direction of current in resistor ab when coil B is brought closer to coil A with switch closed.
(c)
To determine
The direction of current in resistor ab when the resistance of R is decreased while the switch remains closed.
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29.19 Using Lenz’s law, determine the direction of the current in resistor ab of Fig. E29.19 when (a) switch S is opened after having been closed for several minutes; (b) coil B is brought closer to coil A with the switch closed; (c) the resistance of R is decreased while the switch remains closed.
Figure P19.64 is a setup that can be used to measuremagnetic fields. A rectangular coil of wire contains N turnsand has a width w. The coil is attached to one arm of a balanceand is suspended between the poles of a magnet. The fieldis uniform and perpendicular to the plane of the coil. Thesystem is first balanced when the current in the coil is zero.When the switch is closed and the coil carries a current I, amass m must be added to the right side to balance the system.(a) Find an expression for the magnitude of the magneticfield and determine its direction. (b) Why is the result independentof the vertical dimension of the coil? (c) Supposethe coil has 50 turns and width of 5.0 cm. When the switch is
closed, the coil carries a current of 0.30 A, and a mass of 20.0 gmust be added to the right side to balance the system. What isthe magnitude of the magnetic field?
An 820-turn wire coil of resistance 24.0 V is placed on top of a 12 500-turn, 7.00-cm-long solenoid, as in Figure P20.57. Both coil and solenoid have crosssectional areas of 1.00 × 10-4 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.
Chapter 29 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 29.2 - The accompanying figure shows a wire coil being...Ch. 29.3 - (a) Suppose the magnet in Fig. 29.14a were...Ch. 29.4 - The earths magnetic field points toward (magnetic)...Ch. 29.5 - If you wiggle a magnet back and forth in your...Ch. 29.6 - Prob. 29.6TYUCh. 29.7 - Prob. 29.7TYUCh. 29 - A sheet of copper is placed between the poles of...Ch. 29 - Prob. 29.2DQCh. 29 - Prob. 29.3DQCh. 29 - Prob. 29.4DQ
Ch. 29 - A long, straight conductor passes through the...Ch. 29 - A student asserted that if a permanent magnet is...Ch. 29 - An airplane is in level flight over Antarctica,...Ch. 29 - Consider the situation in Exercise 29.21. In part...Ch. 29 - Prob. 29.9DQCh. 29 - Prob. 29.10DQCh. 29 - Example 29.6 discusses the external force that...Ch. 29 - In the situation shown in Fig. 29.18, would it be...Ch. 29 - Prob. 29.13DQCh. 29 - Small one-cylinder gasoline engines sometimes use...Ch. 29 - Does Lenzs law say that the induced current in a...Ch. 29 - Does Faradays law say that a large magnetic flux...Ch. 29 - Can one have a displacement current as well as a...Ch. 29 - Prob. 29.18DQCh. 29 - Match the mathematical statements of Maxwells...Ch. 29 - If magnetic monopoles existed, the right-hand side...Ch. 29 - Prob. 29.21DQCh. 29 - A single loop of wire with an area of 0.0900 m2 is...Ch. 29 - In a physics laboratory experiment, a coil with...Ch. 29 - Search Coils and Credit Cards. One practical way...Ch. 29 - A closely wound search coil (see Exercise 29.3)...Ch. 29 - A circular loop of wire with a radius of 12.0 cm...Ch. 29 - CALC A coil 4.00 cm in radius, containing 500...Ch. 29 - Prob. 29.7ECh. 29 - CALC A flat, circular, steel loop of radius 75 cm...Ch. 29 - Shrinking Loop. A circular loop of flexible iron...Ch. 29 - A closely wound rectangular coil of 80 turns has...Ch. 29 - CALC In a region of space, a magnetic field points...Ch. 29 - In many magnetic resonance imaging (MRI) systems,...Ch. 29 - The armature of a small generator consists of a...Ch. 29 - A flat, rectangular coil of dimensions l and w is...Ch. 29 - A circular loop of wire is in a region of...Ch. 29 - The current I in a long, straight wire is constant...Ch. 29 - Two closed loops A and C are close to a long wire...Ch. 29 - The current in Fig. E29.18 obeys the equation I(t)...Ch. 29 - Prob. 29.19ECh. 29 - A cardboard tube is wrapped with two windings of...Ch. 29 - A small, circular ring is inside a larger loop...Ch. 29 - A circular loop of wire with radius r = 0.0480 m...Ch. 29 - CALC A circular loop of wire with radius r =...Ch. 29 - A rectangular loop of wire with dimensions 1.50 cm...Ch. 29 - In Fig. E29.25 a conducting rod of length L = 30.0...Ch. 29 - A rectangle measuring 30.0 cm by 40.0 cm is...Ch. 29 - Are Motional emfs a Practical Source of...Ch. 29 - Motional emfs in Transportation. Airplanes and...Ch. 29 - The conducting rod ab shown in Fig. E29.29 makes...Ch. 29 - A 0.650-m-long metal bar is pulled to the right at...Ch. 29 - A 0.360-m-long metal bar is pulled to the left by...Ch. 29 - Prob. 29.32ECh. 29 - A 0.250-m-long bar moves on parallel rails that...Ch. 29 - Prob. 29.34ECh. 29 - Prob. 29.35ECh. 29 - A metal ring 4.50 cm in diameter is placed between...Ch. 29 - Prob. 29.37ECh. 29 - Prob. 29.38ECh. 29 - A long, thin solenoid has 400 turns per meter and...Ch. 29 - Prob. 29.40ECh. 29 - A long, straight solenoid with a cross-sectional...Ch. 29 - Prob. 29.42ECh. 29 - Prob. 29.43ECh. 29 - CALC In Fig. 29.23 the capacitor plates have area...Ch. 29 - Prob. 29.45ECh. 29 - A very long, rectangular loop of wire can slide...Ch. 29 - CP CALC In the circuit shown in Fig. P29.47, the...Ch. 29 - Prob. 29.48PCh. 29 - CALC A very long, straight solenoid with a...Ch. 29 - Prob. 29.50PCh. 29 - In Fig. P29.51 the loop is being pulled lo the...Ch. 29 - Make a Generator? You are shipwrecked on a...Ch. 29 - A flexible circular loop 6.50 cm in diameter lies...Ch. 29 - CALC A conducting rod with length L = 0.200 m,...Ch. 29 - Prob. 29.55PCh. 29 - CP CALC Terminal Speed. A bar of length L = 0.36 m...Ch. 29 - CALC The long, straight wire shown in Fig. P29.57a...Ch. 29 - CALC A circular conducting ring with radius r0 =...Ch. 29 - CALC A slender rod, 0.240 m long, rotates with an...Ch. 29 - A 25.0-cm-long metal rod lies in the .xy-plane and...Ch. 29 - CP CALC A rectangular loop with width L and a...Ch. 29 - CALC An airplane propeller of total length L...Ch. 29 - The magnetic field B, at all points within a...Ch. 29 - CP CALC A capacitor has two parallel plates with...Ch. 29 - Prob. 29.65PCh. 29 - Prob. 29.66PCh. 29 - DATA You are conducting an experiment in which a...Ch. 29 - DATA You measure the magnitude of the external...Ch. 29 - A metal bar with length L, mass m, and resistance...Ch. 29 - CP CALC A square, conducting, wire loop of side L,...Ch. 29 - BIO STIMULATING THE BRAIN. Communication in the...Ch. 29 - BIO STIMULATING THE BRAIN. Communication in the...Ch. 29 - It may be desirable to increase the maximum...Ch. 29 - Which graph in Fig. P29.74 best represents the...
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- A rectangular conducting loop is placed near a long wire carrying a current I as shown in Figure OQ23.5. If I decreases in time, what can be said of the current induced in the loop? (a) The direction of the current depends on the size of the loop. (b) The current is clockwise. (c) The current is counterclockwise. (d) The current is zero. (e) Nothing can be said about the current in the loop without more information.arrow_forwardShow that Equation 32.28 in the text Ls Kirchhoffs loop rule as applied to the circuit in Figure P32.56 with the switch thrown to position b.arrow_forwardA 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_forward
- A piece of insulated wire is shaped into a figure eight as shown in Figure P23.12. For simplicity, model the two halves of the figure eight as circles. The radius of the upper circle is 5.00 cm and that of the lower circle is 9.00 cm. The wire has a uniform resistance per unit length of 3.00 Ω/m. A uniform magnetic field is applied perpendicular to the plane of the two circles, in the direction shown. The magnetic field is increasing at a constant rate of 2.00 T/s. Find (a) the magnitude and (b) the direction of the induced current in the wire. Figure P23.12arrow_forwardA circuit consists of a conducting movable bar and a light bulb connected to two conducting rails as shown in Figure OQ23.16. An external magnetic field is directed perpendicular to the plane of the circuit. Which of the following actions will make the bulb light up? More than one statement may be correct. (a) The bar is moved to the left. (b) The bar is moved to the right. (c) The magnitude of the magnetic field is increased. (d) The magnitude of the magnetic field is decreased. (e) The bar is lifted off the rails.arrow_forwardDesign 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_forward
- A thin wire = 30.0 cm long is held parallel to and d = 80.0 cm above a long, thin wire carrying I = 200 A and fixed in position (Fig. P30.47). The 30.0-cm wire is released at the instant t = 0 and falls, remaining parallel to the current-carrying wire as it falls. Assume the falling wire accelerates at 9.80 m/s2. (a) Derive an equation for the emf induced in it as a function of time. (b) What is the minimum value of the emf? (c) What is the maximum value? (d) What is the induced emf 0.300 s after the wire is released? Figure P30.47arrow_forwardFigure 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 bar in Figure OQ23.10 moves on rails to the right with a velocity v, and a uniform, constant magnetic field is directed out of the page. Which of the following statements are correct? More than one statement may be correct. (a) The induced current in the loop is zero. (b) The induced current in the loop is clockwise. (c) The induced current in the loop is counterclockwise. (d) An external force is required to keep the bar moving at constant speed. (e) No force is required to keep the bar moving at constant speed.arrow_forward
- A flat coil of wire has an area A, N turns, and a resistance R. It is situated in a magnetic field, such that the normal to the coil is parallel to the magnetic field. The coil is then rotated through an angle of 90˚, so that the normal becomes perpendicular to the magnetic field. The coil has an area of 1.5 × 10-3 m2, 50 turns, and a resistance of 150 Ω. During the time while it is rotating, a charge of 6.0 × 10-5 C flows in the coil. What is the magnitude of the magnetic field?arrow_forwardThe bolt of lightning depicted in Figure P20.61 passes 200. mfrom a 100-turn coil oriented as shown. If the current in the lightning bolt falls from 6.02 x 106 A to zero in 10.5 µs, whatis the average voltage induced in the coil? Assume the distanceto the center of the coil determines the average magneticfield at the coil’s position. Treat the lightning bolt as along, vertical wire.arrow_forwardA conducting rectangular loop ofmass M, resistance R , and dimensions w by l falls from rest into a magneticfield B→, as shown in Figure P20.67. Duringthe time interval before the topedge of the loop reaches the field, theloop approaches a terminal speed v T.(a) Show that vT = MgR/B2w2 (b) Why is vT proportional to R ?(c) Why is it inversely proportional to B2?arrow_forward
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