1. The current I through a long solenoid with n turns per meter and radius 0.30m is changing with time as given by /=sin(120t). The magnetic field inside a solenoid is given by B=nuol where Ho is the free space permeability Ho=1.26-10-6 H/m. What is the magnetic flux through a single coil at a time of t= 1.1 s at distance r= 0.25 m from the center of the solenoid if there are, n=108 turns/m? a) Start by determining the flux through a gaussian loop of radius r=0.25 m centered in the middle of the solenoid. Hint: Is the angle for the sine function in degrees or radians? B=nuosin(120t) ²2²= VTm² b) Next determine the rate of change of the magnetic flux with time d (nuosin(120t)²) = Tm²/s dt $B= d dt |§E·a|-|-dd₂| Recall that the symmetry of the c) The electic field can then be determined from dt problem means the electric field is constant when integrating around the loop. E= V/m

1. The current I through a long solenoid with n turns per meter and radius 0.30m is changing with time as given by /=sin(120t). The magnetic field inside a solenoid is given by B=nuol where Ho is the free space permeability Ho=1.26-10-6 H/m. What is the magnetic flux through a single coil at a time of t= 1.1 s at distance r= 0.25 m from the center of the solenoid if there are, n=108 turns/m? a) Start by determining the flux through a gaussian loop of radius r=0.25 m centered in the middle of the solenoid. Hint: Is the angle for the sine function in degrees or radians? B=nuosin(120t) ²2²= VTm² b) Next determine the rate of change of the magnetic flux with time d (nuosin(120t)²) = Tm²/s dt $B= d dt |§E·a|-|-dd₂| Recall that the symmetry of the c) The electic field can then be determined from dt problem means the electric field is constant when integrating around the loop. E= V/m

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Faraday’s Law And Inductance

Section: Chapter Questions

Problem 54P

See similar textbooks

Similar questions

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 circular coil with 200 turns Las a radius of 2.0 cm. (a) What current through tire coil results in a magnetic dipole moment of 3.0 Am2? (b) What is the maximum torque that the coil will experience in a uniform field of strength 5.0102 ? (c) If tire angle between and B is 45°, what is the magnitude of tire torque on the coil? (d) What is the magnetic potential energy of coil for this orientation?
A square loop whose sides are 6.0-cm long is made with copper wire of radius 1.0 mm. If a magnetic field perpendicular to the loop is changing at a rate of 5.0 mT/s, what is the current in the loop?
A 0.50-kg copper sheet drops through a uniform horizontal magnetic field of 1.5 T, and it reaches a terminal velocity of 2.0 m's. (a) What is the net map,-, eh: force on the sheet after it reaches terminal velocity? (b) Describe the mechanism responsible for this force, (c) How much power is dissipated as Joule heating while the sheet moves at terminal velocity?
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 ?
An alpha-particle ( m=6.641027kg , q=3.21019C ) travels in a circular path of radius 25 cm in a uniform magnetic field of magnitude 1.5 T. (a) What is the speed of the particle? (b) What is the kinetic energy in electron-volts? (c) Through what potential difference must the particle be accelerated in order to give it this kinetic energy?
Consider the system pictured in Figure P28.26. A 15.0-cm horizontal wire of mass 15.0 g is placed between two thin, vertical conductors, and a uniform magnetic field acts perpendicular to the page. The wire is free to move vertically without friction on the two vertical conductors. When a 5.00-A current is directed as shown in the figure, the horizontal wire moves upward at constant velocity in the presence of gravity. (a) What forces act on the horizontal wire, and (b) under what condition is the wire able to move upward at constant velocity? (c) Find the magnitude and direction of the minimum magnetic Field required to move the wire at constant speed. (d) What happens if the magnetic field exceeds this minimum value? Figure P28.26
(a) What is the speed of a supersonic aircraft with a 17.0-m wingspan, if it experiences a 1.60V Hall voltage between its wing lips when in level flight over the north magnetic pole, where the Earth's field strength is 8.00105T ? (b) Explain why very little current flows as a result of this Hall voltage.
(a) If the emf of a coil rotating in a magnetic field is zero at t = 0, and increases to its first peak at t = 0.100 ms, what is the angular velocity of the coil? (b) At what time will its next maximum occur? (c) What is the period of the output? (d) When is the output first one-fourth at its maximum? (e) When is it next one-fourth at its maximum?
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?
The magnetic field in the core of an air-filled solenoid is 1.50 T, By how much will this magnetic field decrease if the ail is pumped out of the core while the current is held constant?
A rectangular coil with resistance R has N turns, each of length and width as shown in Figure P31.36. The coil moves into a uniform magnetic field B with constant velocity v. What are the magnitude and direction of the total magnetic force on the coil (a) as it enters the magnetic field, (b) as it moves within the field, and (c) as it leaves the field?