Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 23, Problem 17OQ
To determine
The inference on the current induced in the inner loop
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A conducting circular loop of wire with radius 0.0300 m and resistance 0.40 Ω sits in a region of spatially uniform magnetic field, as shown in the figure. The magnetic field is directed into the plane of the figure and it changes in time with the expression
B(t) = 1.080 T - (0.360 T/s )∙t (here T represents the unit Tesla and t is the time)a) Give the magnetic flux through the loop as a function of time.b) Give the EMF induced in the loop as a function of time.c) Calculate the induced current at time t = 1.0 s. Show the steps that lead to youranswers.d) What is the direction of the current in the loop at t = 1.0 s? Explain/justify youranswer
A rod AB with length L = 0.15 m is lying on a rectangular conducting loop of zero resistance in a magnetic field as shown in the figure. The magnetic field has a constant magnitude B = 2.5 T. The rod is moving to the right with speed v=0.85 m/s. The resistance on AB is R150. (a. Compute the total induced emf across the rod AB. (b. Compute the current passing through the rod. (c. Determine the direction of the current through the rod. Say "flow up or flow down". (d. Compute the power consumption on the rod.
A rectangular wire loop with length a and width b lies in the xy-plane, as shown below. Within the loop there is a time-dependent magnetic field given by B → (t) = C (x cos ωt)i ^ + (y sin ωt)k ^, with B → (t) in tesla. Determine the emf induced in the loop as a function of time.
Chapter 23 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 23.1 - A circular loop of wire is held in a uniform...Ch. 23.1 - Prob. 23.2QQCh. 23.2 - You wish to move a rectangular loop of wire into a...Ch. 23.2 - Prob. 23.4QQCh. 23.3 - Prob. 23.5QQCh. 23.4 - In a region of space, a magnetic field is uniform...Ch. 23.6 - Prob. 23.7QQCh. 23.6 - Prob. 23.8QQCh. 23.7 - Prob. 23.9QQCh. 23 - Prob. 1OQ
Ch. 23 - Prob. 2OQCh. 23 - Prob. 3OQCh. 23 - A circular loop of wire with a radius of 4.0 cm is...Ch. 23 - A rectangular conducting loop is placed near a...Ch. 23 - Prob. 6OQCh. 23 - Prob. 7OQCh. 23 - Prob. 8OQCh. 23 - A square, flat loop of wire is pulled at constant...Ch. 23 - The bar in Figure OQ23.10 moves on rails to the...Ch. 23 - Prob. 11OQCh. 23 - Prob. 12OQCh. 23 - A bar magnet is held in a vertical orientation...Ch. 23 - Prob. 14OQCh. 23 - Two coils are placed near each other as shown in...Ch. 23 - A circuit consists of a conducting movable bar and...Ch. 23 - Prob. 17OQCh. 23 - Prob. 1CQCh. 23 - Prob. 2CQCh. 23 - Prob. 3CQCh. 23 - Prob. 4CQCh. 23 - Prob. 5CQCh. 23 - Prob. 6CQCh. 23 - Prob. 7CQCh. 23 - Prob. 8CQCh. 23 - Prob. 9CQCh. 23 - Prob. 10CQCh. 23 - Prob. 11CQCh. 23 - Prob. 12CQCh. 23 - Prob. 13CQCh. 23 - Prob. 14CQCh. 23 - Prob. 15CQCh. 23 - Prob. 16CQCh. 23 - Prob. 1PCh. 23 - An instrument based on induced emf has been used...Ch. 23 - A flat loop of wire consisting of a single turn of...Ch. 23 - Prob. 4PCh. 23 - Prob. 5PCh. 23 - Prob. 6PCh. 23 - A loop of wire in the shape of a rectangle of...Ch. 23 - When a wire carries an AC current with a known...Ch. 23 - Prob. 9PCh. 23 - Prob. 10PCh. 23 - Prob. 11PCh. 23 - A piece of insulated wire is shaped into a figure...Ch. 23 - A coil of 15 turns and radius 10.0 cm surrounds a...Ch. 23 - Prob. 14PCh. 23 - Figure P23.15 shows a top view of a bar that can...Ch. 23 - Prob. 16PCh. 23 - Prob. 17PCh. 23 - A metal rod of mass m slides without friction...Ch. 23 - Review. After removing one string while...Ch. 23 - Prob. 20PCh. 23 - The homopolar generator, also called the Faraday...Ch. 23 - Prob. 22PCh. 23 - A long solenoid, with its axis along the x axis,...Ch. 23 - Prob. 24PCh. 23 - Prob. 25PCh. 23 - Prob. 26PCh. 23 - A coil of area 0.100 m2 is rotating at 60.0 rev/s...Ch. 23 - A magnetic field directed into the page changes...Ch. 23 - Within the green dashed circle shown in Figure...Ch. 23 - Prob. 30PCh. 23 - Prob. 31PCh. 23 - Prob. 32PCh. 23 - Prob. 33PCh. 23 - Prob. 34PCh. 23 - Prob. 35PCh. 23 - Prob. 36PCh. 23 - Prob. 37PCh. 23 - Prob. 38PCh. 23 - Prob. 39PCh. 23 - Prob. 40PCh. 23 - Prob. 41PCh. 23 - Prob. 42PCh. 23 - Prob. 43PCh. 23 - Prob. 44PCh. 23 - Prob. 45PCh. 23 - Prob. 46PCh. 23 - Prob. 47PCh. 23 - Prob. 48PCh. 23 - Prob. 49PCh. 23 - Prob. 50PCh. 23 - Prob. 51PCh. 23 - Prob. 52PCh. 23 - Prob. 53PCh. 23 - Prob. 54PCh. 23 - Prob. 55PCh. 23 - Prob. 56PCh. 23 - Prob. 57PCh. 23 - Figure P23.58 is a graph of the induced emf versus...Ch. 23 - Prob. 59PCh. 23 - Prob. 60PCh. 23 - The magnetic flux through a metal ring varies with...Ch. 23 - Prob. 62PCh. 23 - Prob. 63PCh. 23 - Prob. 64PCh. 23 - Prob. 65PCh. 23 - Prob. 66PCh. 23 - Prob. 67PCh. 23 - Prob. 68PCh. 23 - Prob. 69PCh. 23 - Prob. 70PCh. 23 - Prob. 71PCh. 23 - Prob. 72PCh. 23 - Review. The use of superconductors has been...Ch. 23 - Prob. 74PCh. 23 - Prob. 75P
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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_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_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
- The 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_forwardA rectangular conducting loop with dimensions w = 32.0 cm and h = 78.0 cm is placed a distance a = 5.00 cm from a long, straight wire carrying current I = 7.00 A in the downward direction (Fig. P32.75). a. What is the magnitude of the magnetic flux through the loop? b. If the current in the wire is increased linearly from 7.00 A to 15.0 A in 0.230 s, what is the magnitude of the induced emf in the loop? c. What is the direction of the current that is induced in the loop during this time interval?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_forward
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