Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 22.2, Problem 2aTH
Five loops of copper wire of same gauge (cross−sectional area). Loops 1−4 are identical; loop
5 has the same height as the others but is longer. At the instant shown, all the loops are moving at the same speed in the directions indicated.
There is a uniform magnetic field pointing out of the page in region I; in region II there is no magnetic field. Ignore any interactions between the loops.
a. For any loop that has an induced current, indicate the direction of that current.
Expert Solution & Answer
Learn your wayIncludes step-by-step video
schedule02:42
Students have asked these similar questions
A conducting cylinder is free to roll along two inclined conducting rails connected to a power supply, as shown in the top view below (uphill is to the left).
(The magnetic field vector B points exactly vertically downward, and so is not perpendicular to the inclined rails.) Find an expression for the minimum current I needed to make the cylinder roll uphill, in terms of w, |B|, the incline angle theta, and the cylinder's mass m. Do not assume that theta is small.
As shown below, a square loop of wire of side a moves through a uniform magnetic field of magnitude B perpendicular to the page at constant velocity, vector v, directed to the right. Which statement regarding the electric field induced in the wires is correct for the wires at the left and right sides of the loop? (Hint: Be careful of what is being asked here. I am not asking for the direction of current.)
Figure 3 shows a straight wire carrying a current in upwarddirection. The wire is placed near a wire loop.
For each case described below, answer the following questions:a. What is the direction of the magnetic flux through theloop?b. Is the magnitude of the flux through the loop increasing ordecreasing with time?c. What is the direction of the magnetic field produced by theinduced current in the loop?d. What is the direction of the current induced in the loop?1. Case 1: The current is increasing.2. Case 2: The current is decreasing.3. Case 3: The current is constant but the loop is being pulledaway from the straight wire.
Chapter 22 Solutions
Tutorials in Introductory Physics
Ch. 22.1 - Use Lenz’ law to predict whether current will flow...Ch. 22.1 - For each of the cases in which you predicted that...Ch. 22.1 - Suppose that the radius of the loop were...Ch. 22.1 - Check your answer regarding the direction of the...Ch. 22.1 - Find: the direction of the magnetic moment of the...Ch. 22.1 - A copper wire loop is initially at rest in a...Ch. 22.2 - On the two diagrams below, indicate the direction...Ch. 22.2 - Suppose the loop were replaced by a second loop...Ch. 22.2 - Five loops of copper wire of same gauge...Ch. 22.2 - Five loops of copper wire of same gauge...
Additional Science Textbook Solutions
Find more solutions based on key concepts
The pV-diagram of the Carnot cycle.
Sears And Zemansky's University Physics With Modern Physics
Rank in order of increasing size: a solar system, b Local Group, c galaxy.
Conceptual Integrated Science
A plank, fixed to a sled at rest in frame S, is of length L0 and makes an angle of 0 with the xaxis. Later, the...
Modern Physics
A 110-N m torque is needed to start a revolving door rotating. If child can push with a maximum force of 90 N,...
Essential University Physics: Volume 1 (3rd Edition)
Choose the best answer to each of the following. Explain your reasoning. The reason we do not have a solar ecli...
The Cosmic Perspective Fundamentals (2nd Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- The magnets shown in the sketch are dropped from rest through the middle of conducting rings. Notice that the ring onthe right has a small break in it, whereas the ring on the left forms a closed loop. (a) As the magnets drop toward the rings,do you predict that the magnet on the left has an acceleration that is greater than, less than, or the same as that of themagnet on the right? (b) Which of the following is the best explanation for your prediction?I. Both magnets fall with the acceleration due to gravity. The rings have no effect.II. The magnet on the left has a greater downward acceleration because the ring exerts an attractive force on it.III. The magnet on the right has the greater downward acceleration because the gap prevents a current that would exert arepulsive force on the magnet.arrow_forwardPART A: Two long wires, one of which has a semicircular bend of radius R and center P, are positioned as shown below. If both wires carry a current, how far apart must their parallel sections be so that the total magnetic field at P is zero? Express a in terms of R. Does the current in the straight wire flow up or down? Explain. PART B: The infinite, straight wire shown below carries a current I1. The rectnangular loop, whose long sides are parallel to the wire, carries a current I2. What are the magnitude and direction of the total magnetic force on the rectangular loop due to the magnetic field of the long wire?arrow_forwardTwo wires lie perpendicular to the plane of the paper and equal electric currents pass through the paper in the directions shown. Point P is equidstant from the two wires. a) Construct a vector diagram showing the direction of the resultant magnetic field at point P due to currents in these wires. Explain your reasoning. b) If the currents in both wires were instead directed into the plane of the page (such that the current moved away from us), show the resultant magentic field at point P.arrow_forward
- A rectangular loop is placed near a long straight current-carrying wire as shown in the figure. a. Assume that we define step vectors around the loop to point counterclockwise. Is the magnetic flux ФB through the loop positive or negative? b. Calculate the magnetic flux in terms of I = |Ivector|, d, L, and W. (Hints: The magnetic field is not constant over the loop's face, so we have to actually integrate to calculate the flux. Divide the loop into thin strips. You should find that the answer is proportional to ln(d+W) / d.) c. Let the loop have resistance R. Find an expression for the current flowing in the loop as a function of dI / dt. d. If the magnitude of the current flowing in the wire is decreasing, what is the direction in which the current flows in the loop?arrow_forwardAn electric current runs through a wire in the shape of a circle. The direction of the current is counterclockwise, as shown. What is the direction of the magnetic field around the loop of wire? Provide two solutions: (a) first, a sketch of the magnetic field using an oblique illustration, and (b) a sketch of the magnetic field using a flat, two-dimensional illustration. For solution (b), use conventional symbols used for vectors going out of, and into the page/screen/plane. (Hint: there is a difference between the direction of magnetic field inside the loop and outside the loop.)arrow_forwardThe arrangement illustrated in the figure below is composed of six finite straight wires of length l. The electric current flowing in such an arrangement is i. Using the Biot-Savart law, calculate: The magnitude of the magnetic field at point P due to the wire located along segment ab.The answer is in the second image. I am trying to use the standard biot-savart, which is B = (μ0*I/4π) * ∫dl * sinθ / r^2, and it always gives me 16*pi*l at the denominator, instead of 8pi*l. Solve it using B = (μ0*I/4π) * ∫dl * sinθ / r^2, and note that the image with the answer is correct.arrow_forward
- Please answer if true or false, and why 1. If the motion of the magnet causes decreasing downward flux through the loop, The direction of the induced magnetic field would be against the downward flux. - True or False? 2. In a conducting rod moving in a uniform magnetic field, the magnetic field force supports the electric field force. - True or False? 3. The induced electric field is inversely proportional to the circumference of the loop, assuming all the other parameters are constant. - True or False?arrow_forwardA single turn coil of radius 5.00 cm is held in a vertical plane and a magnet is rapidly moved relative to the coil as shown in the diagram below. The field inside the coil changes from 0.040 T to 0.025 T in a matter of 0.200 seconds. If the resistance of the coil is 6.00 Ohms, what is the magnitude and direction of the induced current in a coil as viewed from the side of the magnet? Make sure to include clear explanations for your choice of current direction.arrow_forwardConsider the two current-carrying wires in the figure. On the left is a long, straight wire carrying current I1. In the same plane, there is a rectangular loop, which carries a current I2. The dimensions of the rectangular loop are shown in the figure, and the left side of the loop is a distance c from the wire. What are the magnitude and direction of the net force exerted on the loop by the magnetic field created by the wire? (Use any variable or symbol stated above along with the following as necessary: ?0, ℓ, and a.)arrow_forward
- Use the worked example above to help you solve this problem. A coil with 21 turns of wire is wrapped on a frame with a square cross-section 2.14 cm on a side. Each turn has the same area, equal to that of the frame, and the total resistance of the coil is 0.561 Ω. An applied uniform magnetic field is perpendicular to the plane of the coil, as in the figure. (a) If the field changes uniformly from 0.00 T to 0.540 T in 0.731 s, find the induced emf in the coil while the field is changing. = (b) Find the magnitude of the induced current in the coil while the field is changing.I =arrow_forwardThe current I in a long, straight wire is constant and is directed toward the right. Conducting loops A, B, C, and D are moving, in the directions shown, near the wire. a) Is the direction of the induced current clockwise or counterclockwise, or is the induced current zero for loop D? Briefly explain. b) What is the direction of the net force that the wire exerts on the loop D? (No explanation is needed.) c) Is the direction of the induced current clockwise or counterclockwise, or is the induced current zero for loop C? Briefly explain.arrow_forwardThe current I in a long, straight wire is constant and is directed toward the right as in Fig Conducting loops A, B, C, and D are moving, in the directions shown, near the wire. (a) For each loop, is the direction of the induced current clockwise or counterclockwise, or is the induced current zero? (b) For each loop, what is the direction of the net force that the wire exerts on the loop? Give your reasoning for each answer.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
THE BAR MAGNET; Author: 7activestudio;https://www.youtube.com/watch?v=DWQfL5IJTaQ;License: Standard YouTube License, CC-BY