2. A hypothetical charge q with a mass m moves in a circular path perpendicular to a uniform magnetic field with a magnitude of B and is directed into the page. If the speed of the hypothetical charge is v: A. Determine the radius of the circular path. B. Determine the time interval required to complete one revolution.

2. A hypothetical charge q with a mass m moves in a circular path perpendicular to a uniform magnetic field with a magnitude of B and is directed into the page. If the speed of the hypothetical charge is v: A. Determine the radius of the circular path. B. Determine the time interval required to complete one revolution.

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter30: Sources Of The Magnetic Field

Section: Chapter Questions

Problem 30.6OQ: A long, vertical, metallic wire carries downward electric current. (i) What is the direction of the...

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A cyclometer is a device mounted on a bicycle that records and displays trip information such as elapsed time, distance traveled, and average speed. Modern versions employ small magnets attached to a spoke on either the front or rear wheel and a sensor located on the front fork or rear frame. As the magnet is carried past the detector once each wheel revolution, it produces an electrical pulse that is recorded and logged by an integrated circuit in the device. The distance traveled equals the total number of revolutions multiplied by the circumference of the wheel. (a) A typical mountain bike has a wheel diameter of 26 in. How far will a cyclist have traveled in both miles and kilometers if her cyclometer indicates that her front wheel has made 25,000 revolutions during her trip? (b) If the cyclometer clock shows that the elapsed time for the trip was 2 hours and 40 minutes, what was the rider’s average speed during this period?
(a) An oxygen16 ion with a mass at 2.661026kg travels at 5.00106m/s perpendicular to a 1.20T magnetic field, which makes it move in a circular arc with a 0.231-m radius. What positive charge is on the ion? (b) What is the radio of this charge to the charge of an electron? (c) Discuss why the radio found in (b) should be an integer.
Earth’s magnetic field lines are not parallel to its surface except in certain places: they actually 44dip” downward at some angle to the ground. (An ordinary compass does not show this.) (a) At what places on Earth would the magnetic dip” be the greatest? (b) Where on Earth would the dip be zero?
Explain why the magnetic field would not be unique (that is, not have a single value) at a point in space where magnetic field lines might cross. (Consider the direction of the field at such a point.)
Unreasonable results A charged particle having mass 6.641027kg (that of a helium atom) moving at 8.70105m/s perpendicular to a 1.50-T 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?
CASE STUDY A person in Franklins time may have been able to provide the same advice we came up with in Example 23.2. However, an 18th-century person may have had a different reason for his or her advice. What part of that persons explanation would be the same as ours? What would be different?
Figure CQ30.10 shows four permanent magnets, each having a hole through its center. Notice that the blue and yellow magnets are levitated above the red ones. (a) How does this levitation occur? (b) What purpose do the rods serve? (c) What can you say about the poles of the magnets from this observation? (d) If the blue magnet were inverted, what do you suppose would happen?
The right-hand rule is a way to determine the direction of the magnetic field produced by moving charges. Imagine wrapping your right hand around the path of the charges so that the positive charges (or the current) flow from the little finger side of your fist to the thumb side (Figure 8.53). Then your fingers circle the path in the same direction as the magnetic field lines. Use this rule to verify the directions of the magnetic fields shown in Figures 8.8 and 8.10. How would you use the rule to find the direction of the magnetic field lines around a moving negative charge?
A particle in the cyclotron shown in Figure 28.16a gains energy qV from the alternating power supply each time it passes from one dee to the other. The time interval for each full orbit is T=2=2mqB so the particles average rate of increase in energy is 2qVT=q2BVm Notice that this power input is constant in time. On the other hand, the rate of increase in the radius r of its path is not constant. (a) Show that the rate of increase in the radius r of the panicles path is given by drdt=1rVB (b) Describe how the path of the particles in Figure 28.16a is consistent with the result of part (a). (c) At what rate is the radial position of the protons in a cyclotron increasing immediately before the protons leave the cyclotron? Assume the cyclotron has an outer radius of 0.350 m, an accelerating voltage of V = 600 V, and a magnetic field of magnitude 0.800 T. (d) By how much does the radius of the protons path increase during their last full revolution? Figure 28.16 (a) A cyclotron consists of an ion source at P, two does D1 and D2 across which an alternating potential difference is applied, and a uniform magnetic field. (The south pole of the magnet is not shown.) (b) The first cyclotron, invented by E. O. Lawrence and M. S. Livingston in 1934.
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.
2. A hypothetical charge q with a mass m moves in a circular path perpendicular to a uniform magnetic field with a magnitude of B and is direct into the page. If the speed of the hypothetical charge is v: A. Determine the radius of the circular path. B. Determine the time interval required to complete one revolution. Pointing System for Number 2: • What are the given in the problem? • What are the unknown variables? • What are the equations that you are going to use? • Solution and answer for Part A. • Solution and answer for Part B.
1. Calculate the speed (vf) that the particle will have when it exits from between the parallel plates. 2. Calculate the particle's radius of curvature (in cm) when it enters the region with the perpendicular magnetic field. 3. Will te particle travel clockwise or counterclockwise in the magnetic field? Explain how you determined your answer.