A 100-turn, 4.0-cm-diameter coil is at rest with its axis vertical. A uniform magnetic field 60° away from vertical increases from 0.50 T to 1.50 T in 0.70 s. You may want to review (Page 836). For help with math skills, you may want to review: The Vector Dot Product Area Calculations for a Circle Part A What is the induced emf in the coil? Express your answer with the appropriate units. ► View Available Hint(s)

A 100-turn, 4.0-cm-diameter coil is at rest with its axis vertical. A uniform magnetic field 60° away from vertical increases from 0.50 T to 1.50 T in 0.70 s. You may want to review (Page 836). For help with math skills, you may want to review: The Vector Dot Product Area Calculations for a Circle Part A What is the induced emf in the coil? Express your answer with the appropriate units. ► View Available Hint(s)

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter14: Inductance

Section: Chapter Questions

Problem 86CP: A rectangular copper ring, of mass 100 g and resistance 0.2 1, is in a region of uniform magnetic...

See similar textbooks

Similar questions

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?
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?
The accompanying figure shows a metal disk of inner radius r1 and other radius r2 rotating at an angular velocity while in a uniform magnetic field directed parallel to the rotational axis. The brush leads of voltmeter are connected to the dark's inner and outer surfaces as shown. What is the reading of the voltmeter ?
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?
A 500-turn coil with a 0.250m2 area is spun in Earth’s 5.00105T magnetic field, producing a 12.0-kV maximum emf. (a) As what angular velocity must the coil be spun? (b) What is unreasonable about this result? (c) Which assumption or premise is responsible?
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
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 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?
A solenoid is wound with 2000 turns pet meter. When the cuiient is 5.2 A, what is the magnetic field within the solenoid?
A single-turn circular loop of wire of radius 50 mm lies in a plane perpendicular to a spatially uniform magnetic field. During a 0.10-s time interval, the magnitude of the field Increases uniformly from 200 to 300 mT. (a) Determine the emf Induced in the ioop. (b) If the magnetic field is directed out of the page, what is the direction of the cun-ent induced in the loop?
Use Lenz’s law to determine tl direction of induced current in each case.
A rectangular copper ring, of mass 100 g and resistance 0.2 1, is in a region of uniform magnetic field that is perpendicular to the area enclosed by the ring and horizontal to Earth’s surface. The ring is let go from rest when it is at the edge of the nonzero magnetic field region (see below). (a) Find its speed when the ring just exits the region of uniform magnetic field. (b) If it was let go at t = 0, what is the time when it exits the region of magnetic field for the following values: a=25cm,b=50cmB=3T , and g=9.8m/s2 ? Assume the magnetic field of the induced current is negligible compared to 3T.