A flexible conducting ring is placed into a vary- ing magnetic field that points out of the page, as shown. The ring can stretch and compress, so that it maintains its circular shape but the radius can increase or decrease. B out (a) If the magnetic field strength is an increasing function of time, which direction will current flow around the conducting ring? Explain your answer. (b) Assume the ring is compressed (r is decreased over time) while the magnetic field strength is held constant. i. Which direction will current flow around the conducting ring? Explain your answer. ii. Draw a diagram indicating the direction of the magnetic force that acts on the ring, while it is being compressed. Justify your answer.

A flexible conducting ring is placed into a vary- ing magnetic field that points out of the page, as shown. The ring can stretch and compress, so that it maintains its circular shape but the radius can increase or decrease. B out (a) If the magnetic field strength is an increasing function of time, which direction will current flow around the conducting ring? Explain your answer. (b) Assume the ring is compressed (r is decreased over time) while the magnetic field strength is held constant. i. Which direction will current flow around the conducting ring? Explain your answer. ii. Draw a diagram indicating the direction of the magnetic force that acts on the ring, while it is being compressed. Justify your answer.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 69AP: The conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm...

See similar textbooks

Similar questions

12.7 Check Your Understanding What is the ratio of the magnetic field produced from using a finite formula over the infinite approximation for an angle of (a) 85°? (b) 89°? The solenoid has 1000 mins in 50 cm with a current of 1.0 A flowing through the coils
Determine the magnetic field on the central axis at the opening of a semi-infinite solenoid. (That is, take the opening to be at x = 0 and the other end to be at x= .)
The current loop shown in the accompanying figure lies in the plane of the page, as does the magnetic field. Determine the net force and the net torque on the loop if I=10and B=1.5T .
Check Your Understanding The wire loop forms a full circle of radius R and current I. What is the magnitude of the magnetic field at the center?
The magnetic flux through the loop shown in the accompanying figure varies with time according to m=2.00e3tsin(120t) , where m is in milliwebers. What are the direction and magnitude of the current through the 5.00 resistor at (a) t= 0; (b) t=2.17102 s and (c)t=3.00 s?
The conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm apart. The system is in a uniform magnetic field of strength 0.75 T, which is directed into the page. The resistances of the rod and the rails are negligible, but the section PQ has a resistance of 0.25 . (a) What is the emf (including its sense) induced in the rod when it is moving to tire right with a speed of 5.0 m/s? (b) What force is required to keep the rod moving at this speed? (c) What is the rate at which work is done by this force? (d) What is the power dissipated in the resistor?
A wire ismade into a circular shape of radius R and pivoted along a central support.The two ends of the sire are touching a banish that is connected to a &power source. The stricture is between the poles of a magnet such that we can assume there is a uniform magnetic field on the wire. In terms of a coordinate system with origin at the center ofthe ring, magneticfieldisBx=B0,By=Bz= 0. and the ring rotates about the z-axis. Find the torque on the ring siren it is not in the xz-plane.
A circular loop of radius R carries a current I. At what distance along the axis of the loop is the magnetic field one- half its value at the center of the loop?
How is the percentage change in the strength of the magnetic field across the face of the toroid related to the percentage change in the radial distance from the axis of the toroid?
Two flat, circular coils, each with a radius R and wound with JV turns, ace mounted along the same axis so that they are parallel a distance d apart. What is the magnetic field at the midpoint of the common axis if a current I flows in the same direction through each coil?
A reasonably uniform magnetic field over a limited region of space can be produced with the Helmholtz coil, which consists of two parallel coils centered on the same axis. The coils are connected so that they carry the same current I. Each coil has N turns and radius R, which is also the distance between the coils, (a) Find tire magnetic field at any point on the z-axis shown in the accompanying figure, (b) Show that dB/dz and d2Bdz2 are both zero at z = 0. (These vanishing derivatives demonstrate that the magnetic field varies only slightly near z = 0.)
A wire element has dI,IdI=JAdl=Jdv , where A and dv are the cross-sectional area and volume of the element, respectively. Use this, the Biot-Savart law, and J=nev to show that the magnetic field of a moving point charge q is given by: B=04qvrr2