Student Workbook for Physics for Scientists and Engineers: A Strategic Approach, Vol 1. (Chs 1-21)
Student Workbook for Physics for Scientists and Engineers: A Strategic Approach, Vol 1. (Chs 1-21)
4th Edition
ISBN: 9780134110646
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 29, Problem 63EAP

An antiproton is identical to a proton except it has the opposite charge, —e. To study antiprotons, they must be confined in an ultrahigh vacuum because they will annihilate—producing gamma rays—if they come into contact with the protons of ordinary matter. One way of confining antiprotons is to keep them in a magnetic field. Suppose that antiprotons are created with a speed of 1.5 × 10 4 m/s and then trapped in a 2.0 mT magnetic field. What minimum diameter must the vacuum chamber have to allow these antiprotons to circulate without touching the walls?

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The magnetic poles of a small cyclotron produce a magnetic field with magnitude 0.85 T. The poles have a radius of 0.40 m, which is the maximum radius of the orbits of the accelerated particles. (a) What is the maximum energy to which protons (q = 1.60 * 10-19 C, m = 1.67 * 10-27 kg) can be accelerated by this cyclotron? Give your answer in electron volts and in joules. (b) What is the time for one revolution of a proton orbiting at this maximum radius? (c) What would the magnetic-field magnitude have to be for the maximum energy to which a proton can be accelerated to be twice that calculated in part (a)? (d) For B = 0.85 T, what is the maximum energy to which alpha particles (q = 3.20 * 10-19 C, m = 6.64 * 10-27 kg) can be accelerated by this cyclotron? How does this compare to the maximum energy for protons?
A cyclotron designed to accelerate protons has an outer radius of 0.350 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 600 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.800 T. (a) Find the cyclotron frequency for the protons in this cyclotron. Find (b) the speed at which protons exit the cyclotron and (c) their maximum kinetic energy. (d) How many revolutions does a proton make in the cyclotron? (e) For what time interval does the proton accelerate?
While tuning up a medical cyclotron for use in isotope production, you obtain the data given in the table. B is the uniform magnetic field in the cyclotron, and Kmax is the maximum kinetic energy of the particle being accelerated, which is a proton. The radius R of the proton path at maximum kinetic energy has the same value for each magnetic-field value. (a) Compare the kinetic energy values in the table to the rest energy mc2 of a proton. Is it necessary to use relativistic expressions in your analysis? Explain. (b) Graph your data as Kmax versus B2 . Use the slope of the best-fit straight line to your data to find R. (c) What is the maximum kinetic energy for a 0.25 T magnetic field? (d) What is the angular frequency ω of the proton when B = 0.40 T?

Chapter 29 Solutions

Student Workbook for Physics for Scientists and Engineers: A Strategic Approach, Vol 1. (Chs 1-21)

Ch. 29 - The south pole of a bar magnet is brought toward...Ch. 29 - Prob. 12CQCh. 29 - Prob. 1EAPCh. 29 - Prob. 2EAPCh. 29 - 3. A proton moves along the x-axis with rn/s. As...Ch. 29 - An electron moves along the z-axis with vz=2.0107...Ch. 29 - What is the magnetic field at the position of the...Ch. 29 - What is the magnetic field at the position of the...Ch. 29 - Prob. 7EAPCh. 29 - Prob. 8EAPCh. 29 - Prob. 9EAPCh. 29 - A biophysics experiment uses a very sensitive...Ch. 29 - The magnetic field at the center of a 1.0...Ch. 29 - 12. What are the magnetic fields at points a to c...Ch. 29 - Prob. 13EAPCh. 29 - What are the magnetic field strength and direction...Ch. 29 - Prob. 15EAPCh. 29 - 16. The on-axis magnetic field strength cm from...Ch. 29 - A A current circulates around a -mm-diameter...Ch. 29 - 18. A small, square loop carries a A current. The...Ch. 29 - Prob. 19EAPCh. 29 - 20. What is the line integral of integral points...Ch. 29 - 21. What is the line integral of between points i...Ch. 29 - The value of the line integral of around the...Ch. 29 - 23. The value of the line integral of around the...Ch. 29 - 24. What is the line integral of between points i...Ch. 29 - Prob. 25EAPCh. 29 - 26. A proton moves in the magnetic field with a...Ch. 29 - Prob. 27EAPCh. 29 - 28. Radio astronomers detect electromagnetic...Ch. 29 - Prob. 29EAPCh. 29 - Prob. 30EAPCh. 29 - The microwaves in a microwave oven are produced in...Ch. 29 - The Hall voltage across a conductor in a 55mT...Ch. 29 - 33. What magnetic field strength and direction...Ch. 29 - 34. The two -cm-long parallel wires in FIGURE...Ch. 29 - The right edge of the circuit in FIGURE EX29.35...Ch. 29 - Prob. 36EAPCh. 29 - Prob. 37EAPCh. 29 - 38. A square current loop cm on each side carries...Ch. 29 - Prob. 39EAPCh. 29 - 40. a. What is the magnitude of the torque on the...Ch. 29 - A long wire carrying a 5.0A current perpendicular...Ch. 29 - Prob. 42EAPCh. 29 - What are the strength and direction of the...Ch. 29 - At what distance on the axis of a current loop is...Ch. 29 - 45. Find an expression for the magnetic field...Ch. 29 - Prob. 46EAPCh. 29 - Prob. 47EAPCh. 29 - 48. A -m-long, -mm-diameter aluminum wire has a...Ch. 29 - Prob. 49EAPCh. 29 - Prob. 50EAPCh. 29 - Prob. 51EAPCh. 29 - Weak magnetic fields can be measured at the...Ch. 29 - The heart produces a weak magnetic field that can...Ch. 29 - Prob. 54EAPCh. 29 - 55. The toroid of FIGURE P29.55 is a coil of wire...Ch. 29 - 56. The coaxial cable shown in FIGURE P29.56...Ch. 29 - 57. A long, hollow wire has inner radius and...Ch. 29 - 58. A proton moving in a uniform magnetic field...Ch. 29 - 59. An electron travels with speed m/s between...Ch. 29 - Prob. 60EAPCh. 29 - An antiproton (same properties as a proton except...Ch. 29 - a. A 65 -cm-diameter cyclotron uses a 500 V...Ch. 29 - An antiproton is identical to a proton except it...Ch. 29 - Prob. 64EAPCh. 29 - Prob. 65EAPCh. 29 - Particle accelerators, such as the Large Hadron...Ch. 29 - 67. A particle of charge q and mass m moves in the...Ch. 29 - 68. A Hall-effect probe to measure magnetic field...Ch. 29 - Prob. 69EAPCh. 29 - Prob. 70EAPCh. 29 - The 10-turn loop of wire shown in FIGURE P29.71...Ch. 29 - The two springs in FIGURE P29.72 each have a...Ch. 29 - Prob. 73EAPCh. 29 - Prob. 74EAPCh. 29 - A conducting bar of length I and mass m rests at...Ch. 29 - Prob. 76EAPCh. 29 - A wire along the x-axis carries current I in the...Ch. 29 - Prob. 78EAPCh. 29 - Prob. 79EAPCh. 29 - a. Derive an expression for the magnetic field...Ch. 29 - Prob. 81EAPCh. 29 - A long, straight conducting wire of radius R has a...Ch. 29 - Prob. 83EAP
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Magnets and Magnetic Fields; Author: Professor Dave explains;https://www.youtube.com/watch?v=IgtIdttfGVw;License: Standard YouTube License, CC-BY