Concept explainers
A magnet is hung by a string and then placed near a wire as shown. When the switch is closed, the magnet rotates such that the ends of the magnet move as indicated by the arrows.
At instant the switch is closed determine:
- the direction of the current through the wire segment nearest the magnet. Explain.
The direction of the current through the wire segment nearest to the magnet and direction of the net force exerted by the magnet on the wire segment at the instant when the magnet is in its normal position with their explanation.
Explanation of Solution
Introduction:
According to Fleming’s right-hand rule, the first finger, second finger and thumb are held at a right angle to each other, then the forefinger will represent the direction of the line of force. The thumb will point the direction of the motion and the second finger will give the direction of the induced current.
The expression of the magnetic force is given by the following expression,
Here,
Case-1
When the switch is closed, the magnetic north of the magnet moves towards the circuit which implies that the induced current in the wire tends to deflect the magnet towards the right side. With the application of Fleming’s right hand, the anti-clockwise current can produce the magnetic field which is opposite to the magnetic south of the magnet and the direction of the induced current will be in the upward direction. The direction of the current and the magnetic field is shown in Figure 1.
Figure 1
Consider the direction of the current represented by the
Figure 2
This implies that the direction of the force acting on the wire segment is towards the right.
Conclusion:
Therefore, the direction of the current through the segment near the magnet is up and the direction of the current in the wire is anticlockwise and the direction of the force acting on the wire segment is towards the right.
Want to see more full solutions like this?
Chapter 21 Solutions
Tutorials in Introductory Physics
Additional Science Textbook Solutions
Organic Chemistry (8th Edition)
Introductory Chemistry (6th Edition)
College Physics: A Strategic Approach (3rd Edition)
Human Biology: Concepts and Current Issues (8th Edition)
Genetic Analysis: An Integrated Approach (3rd Edition)
Campbell Essential Biology (7th Edition)
- Plot the deflection angle of the compass needle in Problem 5 versus the current through the wire from 0 to 200 A. Is the compass needle a more sensitive measure for small currents or for large currents? Explain your answer.arrow_forwardThe accompanying figure shows a current loop consisting of two concentric circular arcs and two perpendicular radial lines. Determine the magnetic field at point P.arrow_forwardA 10-A current flows through the wire shown. What is the magnitude of the magnetic field due to a 0.5-mm segment of wire as measured at (a) point A and (b) point B?arrow_forward
- A current 1 flows around the rectangular loop shown in the accompanying figure. Evaluate BdI for the paths A, B, C, and D.arrow_forwardA current I flows around a wire bent into the shape of a square of side a. What is tire magnetic field at the point P that is a distance z above the center of the square (see the accompanying figure)?arrow_forwardA charged particle is moving perpendicular to a magnetic field in a circle with a radius r. (i) An identical particle enters the field, with v perpendicular to B, but with a higher speed than the first particle. Compared with the radius of the circle for the first particle, is the radius of the circular path for the second particle (a) smaller, (b) larger, or (c) equal in size? (ii) The magnitude of the magnetic field is increased. From the same choices, compare the radius of the new circular path of the first particle with the radius of its initial path.arrow_forward
- (a) A 0.750-m-long section of cable carrying current to a car starter motor makes an angle at 60° with the Earth’s 5.00105-T field. What is the current when the wire experiences a force of 7.00103N ? (b) If you run the wire between the poles of a strong horseshoe magnet, subjecting 5.00 cm of it to a 1.75T field, what force is exerted on this segment of wire?arrow_forwardFor the coils in the preceding problem, what is the magnetic field at the center of either coil?arrow_forwardThe infinite, straight wire shown in the accompanying figure cans a current I1. The rectangular loop, whose long sides are parallel to the wire, carries a current I2. What are the magnitude and direction of the force on the rectangular loop due to the magnetic field of the wire?arrow_forward
- A wire carries current in the plane of this paper toward the top of the page. The wire experiences a magnetic force toward the right edge of the page. Is the direction of the magnetic field causing this force (a) in the plane of the page and toward the left edge, (b) in the plane of the page and toward the bottom edge, (c) upward out of the page, or (d) downward into the page?arrow_forwardThe current through a circular wire loop of radius 10 cm is 5.0 A. (a) Calculate themagnetic dipole moment of the loop. (b) What is the torque on the loop if it is in a uniform 0.20-T magnetic field such that p and B are directed at 300 to each other? (C) For this position, what is the potential energy of the dipole?arrow_forwardA coil is moved through a magnetic field as shown below. The field is uniform inside the rectangle and zero outside. What is the direction of the induced current and what is the direction of the magnetic force on the coil at each position shown?arrow_forward
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegePhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning