Concept explainers
On the two diagrams below, indicate the direction of the induced current in the loop at each of the instants shown. If the current is zero, state that explicitly. Explain how you determined your answers.
The direction of the induced current in the loop at each instant.
Explanation of Solution
Introduction:
Write the expression to calculate the magnetic flux.
Here,
Write the expression to calculate induced emf.
Here,
Case 1:
Consider time 1.
Calculate the magnetic flux.
The magnetic flux will decrease as the angle reaches to
Calculate the induced emf.
The emf will increase which leads to the increase of current. The coil will produce a magnetic field in the same direction. According to Lenz’s law the direction of current will be anticlockwise when seen from the left side of the loop.
Case 2:
Calculate the magnetic flux.
The magnetic flux will decrease as the angle reaches to
Calculate the induced emf.
The emf is zero.
Calculate the current.
For the time 2, the emf induced will be zero which will lead to zero current in the loop.
Conclusion:
Therefore, for time 1 the current will be in anticlockwise direction and for time 2 the current is zero.
Want to see more full solutions like this?
Chapter 22 Solutions
Tutorials in Introductory Physics
Additional Science Textbook Solutions
Physics: Principles with Applications
An Introduction to Thermal Physics
Conceptual Physics (12th Edition)
Modern Physics
Sears And Zemansky's University Physics With Modern Physics
Conceptual Physical Science (6th Edition)
- The coils lie in the same plane. Explicitly show how you follow the steps in the Problem-Solving Strategy for Lenz's Law.arrow_forwardSolve the following problems, complete with given, required, formula, solution and boxed/underlined final answer. 1. A circular coil of current I=1A and area A=0.2m2 is placed flat on a table where the magnetic field B= 1T along the horizontal and to the right, Seen from above and looking down on the table, the current is flowing in a counter clockwise direction. Find the following: a.) Calculate the torque on the coil for N=1 b.) What is the torque on the coil when the coil has turned by 30° c.) What is the torque on the coil when the coil is perpendicular to the field lines? 2. A uniform magnetic field is directed at an angle of 30o with the plane of a circular coil of radius 4cm and 1000 turns. The magnetic field changes at a rate of 5 T per second. Calculate the following: a.) Area vector b.) Induced emf 3. A uniform magnetic field is directed at an angle of 30o with the plane of a circular coil of radius 0.03m and 1500 turns. The magnetic field changes at a rate of 7 T per…arrow_forwardUse Lenz's law to answer the following questions concerning the direction of induced currents. Express your answers in terms of the letter labels a and b in each part of the figure below. (a) What is the direction of the induced current in the resistor R in Figure a when the bar magnet is moved to the left? (b) What is the direction of the current induced in the resistor R after the switch S in Figure b is closed? (c) What is the direction of the induced current in the resistor R when the current I in Figure c decreases rapidly to zero?arrow_forward
- 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.)arrow_forwardUse 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_forwardA square flat coil that has N turns, encloses an area A, and carries a current i has its central axis parallel to a uniform magnetic field in which it is immersed. What is the net torque on the coil? How would the torque change if you rotated the loop such that the field and its central axis are perpendicular? Make sure to answer both parts of the question and show all work.arrow_forward
- The conducting loop shown is moving into the region between the magnetic poles shown.a. Is the induced current (viewed from above) clockwise or counterclockwise?b. Is there an attractive magnetic force that tends to pull the loop in, like a magnet pulls on a paper clip? Or do you need to push the loop in against a repulsive force?arrow_forwardIndicate the direction of the induced current in each loop by writing clockwise, counterclockwise, or none for each of the 2 pictures. Please also explain the steps you used to get there/the physics behind why/how you got to the answer to help me better understand. Thank you soo much.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_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. Suppose the magnetic field changes uniformly from 0.540 T to 0.162 T in the next 0.666 s. (a) Compute the induced emf in the coil. = V(b) Compute the induced current.I = A counterclockwise as viewed from above the coilarrow_forwardIn the diagram above, a bar magnet is brought closer to a conducting wire loop with 7 Ω of resistance. As a result a uniform 3 A current is induced in the wire. What is the direction of the induced magnetic field at the center of the loop? Explain the reasoning behind your selection in detail.A) UpB) DownC) ClockwiseD) CounterclockwiseE) Cannot be determinedarrow_forwardUse the picture below to answer. The metal bar has a length of 2 meters, the magnetic field has a strength of 3.5 T, the bar is moving 4 m/s, and the resistance is 10 Ω. a) Calculate the voltage generated when the bar is moving at 4 m/s. b) Using the right hand rule and Faraday’s/Lenz’s Law determine the direction of the current in the circuit. c) Using the voltage from part a), calculate the value of the current flowing through the circuit. d) Calculate the force that the metal bar feels due to the current flowing through it in part c) and the magnetic field. Also right down the direc- tion of this force.arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON