Example B (X) • A copper rod 0.150m long with mass 0.0500kg is suspended from 2 flexible wires. A B field of 0.550T (8) (8) points is perpendicular to the wires (as shown). (8) magnetic •What is the direction and magnitude of the current needed to levitate the copper rod? Example 3.00 m -0,95 m A long, straight wire containing a semicircular region of radius 0.95m is placed in a uniform magnetic field of magnitude 2.20T as shown in the figure. What is the net magnetic force acting on the wire when it carries a current of 3.40A ?

Example B (X) • A copper rod 0.150m long with mass 0.0500kg is suspended from 2 flexible wires. A B field of 0.550T (8) (8) points is perpendicular to the wires (as shown). (8) magnetic •What is the direction and magnitude of the current needed to levitate the copper rod? Example 3.00 m -0,95 m A long, straight wire containing a semicircular region of radius 0.95m is placed in a uniform magnetic field of magnitude 2.20T as shown in the figure. What is the net magnetic force acting on the wire when it carries a current of 3.40A ?

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter22: Magnetism

Section: Chapter Questions

Problem 90PE: Construct Your Own Problem Consider a mass separator that applies a magnetic field perpendicular to...

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(a) Aircraft sometimes acquire small static charges. Suppose a supersonic jet has a 0.500C charge and ?ies due west at a speed of 660 m/s ever the Earth’s south magnetic pole, where the 8.00105T magnetic field points straight up. What are the direction and the magnitude of the magnetic force on the plane? (b) Discuss whether the value obtained in part (a) implies this is a significant or negligible effect.
What is the direction of the velocity of a negative charge that experiences the magnetic force shown in each of the three cases in Figure 22.51, assuming it moves perpendicular to B?
Unreasonable Results A charged particle having mass 6.641027kg (that of a helium atom) moving at 8.70105m/s perpendicular to a 1.50T magnetic field travels in a circular path of radius 16.0 mm. (a) What is the charge of the particle? (b) What is unreasonable about this result? (c) Which assumptions are responsible?
(a) A 200Turn circular loop of radius 50.0 cm is vertical, with its axis on an east-west line. A current of 100 A circulates clockwise in the loop when viewed from the east. The Earth’s field here is due norm, parallel to me ground, with a strength of 3.00105T. What are 1he direction and magnitude of the torque on the loop? (b) Does this device have any practical applications as a motor?
A particle with electric charge is fired into a region of space where the electric field is zero. It moves in a straight line. Can you conclude that the magnetic field in that region is zero? (a) Yes, you can. (b) No; the field might be perpendicular to the particles velocity. (c) No; the field might be parallel to the particles velocity. (d) No; the particle might need to have charge of the opposite sign to have a force exerted on it. (e) No; an observation of an object with electric charge gives no information about a magnetic field.
Integrated Concepts (a) Show that the period of the circular orbit of a charged particle moving perpendicularly to a uniform magnetic field is T = 2(m/(qB). (b) What is the frequency f? (c) What is the angular velocity ( Note that these results are independent of the velocity and radius of the orbit and, hence, of the energy of the particle. (Figure 22.64.] Figure 22.6-4 Cyclotrons accelerate charged particles orbiting in a magnetic field by placing an AC voltage on the metal Dees, between which the particles move, so that energy is added twice each orbit. The frequency is constant, since it is independent of the particle energyThe radius of the orbit simply increases with energy until the particles approach the edge and are extracted for various experiments and applications.
A particle’s path is bent when it passes through a region of non-zero magnetic field although its speed remains unchanged. This is very useful for “beam steering’’ in particle accelerators. Consider a proton of speed 4106m/s entering a region of uniform magnetic field 0.2 T over a 5-cm-wide region. Magnetic field is perpendicular to the velocity of the particle. By how much angle will the path of the proton be bent? (Hint: the particle comes out tangent to a circle.
Integrated Concepts The Tethered Satellite discussed in this module is producing 5.00 kV, and a current of 10.0 A flows. (a) What magnetic drag force does this produce if the system is moving at 7.80 km/s? (b) How much kinetic energy is removed from the system in 1.00 h, neglecting any change in attitude or velocity during that time? (c) What is the change in velocity if the mass of the system is 100,000 kg? (d) Discuss the long term consequences (say, a week-long mission) on the space shuttle’s orbit, noting what effect a decrease in velocity has and assessing the magnitude of the effect.
What is the direction of the magnetic force on a positive charge that moves as shown in each of the six cases shown in Figure 22.59?
What is the direction of the magnetic field that produces the magnetic force on a positive charge as shown in each of the three cases in the figure below, assuming B is perpendicular to V?
The 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?
Construct Your Own Problem Consider a mass separator that applies a magnetic field perpendicular to the velocity of ions and separates the ions based on the radius of curvature of their paths in the field. Construct a problem in which you calculate the magnetic field strength needed to separate two ions that differ in mass, but not charge, and have the same initial velocity. Among the things to consider are the types of ions, the velocities they can be given before entering the magnetic field, and a reasonable value for the radius of curvature of the paths they follow. In addition, calculate the separation distance between the ions at the point where they are detected.