Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 28, Problem 49CP
To determine
The resulting torque.
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Consider an electron orbiting a proton in a fixed circular orbit of radius R = 5.29 × 1011 by Coulomb's law. Treating the orbital charge as a current loop, calculate the resulting torque in units of 10−24 N.m when the system is in a 0.400 T magnetic field directed perpendicular to the magnetic moment of the electron.
A proton, with mass 1.67 × 10-27kg and charge +1.6 × 10-19C, is sent with velocity 7.1 × 104 m/s in the +x direction into a region where there is a uniform electric field of magnitude 730 V/m in the +y What are the magnitude and direction of the uniform magnetic field in the region, if the proton is to pass through undeflected? Assume that the magnetic field has no x-component and neglect gravitational effects. (Answer: 0.010 T, +z direction)
A nucleus with 44 protons travels at a velocity of 2.05 x 10^6 m/s through a region of uniform magnetic field strength 3.96 T. The nucleus experiences a magnetic force of 1.20E-11 N. What angle does the nucleus s velocity vector make with respect to the magnetic field direction?
Chapter 28 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 28.1 - An electron moves in the plane of this paper...Ch. 28.2 - Prob. 28.2QQCh. 28.4 - A wire carries current in the plane of this paper...Ch. 28.5 - (i) Rank the magnitudes of the torques acting on...Ch. 28 - At the equator, near the surface of the Earth, the...Ch. 28 - Consider an electron near the Earths equator. In...Ch. 28 - Find the direction of the magnetic field acting on...Ch. 28 - A proton moving at 4.00 106 m/s through a...Ch. 28 - A proton travels with a speed of 5.02 106 m/s in...Ch. 28 - Prob. 6P
Ch. 28 - Prob. 7PCh. 28 - An accelerating voltage of 2.50103 V is applied to...Ch. 28 - A proton (charge + e, mass mp), a deuteron (charge...Ch. 28 - Prob. 10PCh. 28 - Review. One electron collides elastically with a...Ch. 28 - Review. One electron collides elastically with a...Ch. 28 - Review. An electron moves in a circular path...Ch. 28 - A cyclotron designed to accelerate protons has a...Ch. 28 - Prob. 15PCh. 28 - Prob. 16PCh. 28 - A cyclotron (Fig. 28.16) designed to accelerate...Ch. 28 - A particle in the cyclotron shown in Figure 28.16a...Ch. 28 - Prob. 19PCh. 28 - Prob. 20PCh. 28 - A wire carries a steady current of 2.40 A. A...Ch. 28 - Prob. 22PCh. 28 - Review. A rod of mass 0.720 kg and radius 6.00 cm...Ch. 28 - Review. A rod of mass m and radius R rests on two...Ch. 28 - Prob. 25PCh. 28 - Consider the system pictured in Figure P28.26. A...Ch. 28 - A strong magnet is placed under a horizontal...Ch. 28 - In Figure P28.28, the cube is 40.0 cm on each...Ch. 28 - Prob. 29PCh. 28 - A 50.0-turn circular coil of radius 5.00 cm can be...Ch. 28 - You are in charge of planning a physics magic show...Ch. 28 - Prob. 32PCh. 28 - A rectangular coil consists of N = 100 closely...Ch. 28 - A rectangular loop of wire has dimensions 0.500 m...Ch. 28 - Prob. 35PCh. 28 - A Hall-effect probe operates with a 120-mA...Ch. 28 - Prob. 37APCh. 28 - Prob. 38APCh. 28 - Prob. 39APCh. 28 - Prob. 40APCh. 28 - Prob. 41APCh. 28 - Prob. 42APCh. 28 - A proton having an initial velocity of 20.0iMm/s...Ch. 28 - Prob. 44APCh. 28 - Prob. 45APCh. 28 - Why is the following situation impossible? Figure...Ch. 28 - A heart surgeon monitors the flow rate of blood...Ch. 28 - Prob. 48APCh. 28 - Prob. 49CPCh. 28 - Protons having a kinetic energy of 5.00 MeV (1 eV...Ch. 28 - Review. A wire having a linear mass density of...
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- A proton precesses with a frequency p in the presence of a magnetic field. If the intensity of the magnetic field is doubled, what happens to the precessional frequency?arrow_forwardA proton (charge + e, mass mp), a deuteron (charge + e, mass 2mp), and an alpha particle (charge +2e, mass 4mp) are accelerated from rest through a common potential difference V. Each of the particles enters a uniform magnetic field B, with its velocity in a direction perpendicular to B. The proton moves in a circular path of radius rp. In terms of rp, determine (a) the radius rd of the circular orbit for the deuteron and (b) the radius ra for the alpha particle.arrow_forwardWhat magnetic field is required in order to confine a proton moving with a speed of 4.0 × 106 m/s to a circular orbit of radius 10 cm?arrow_forward
- The force on a magnetic moment z in a nonuniform magnetic field Bz is given by Fz=zdBzdz If a beam of silver atoms travels a horizontal distance of 1 m through such a field and each atom has a speed of 100 m/s, how strong must the field gradient dBz/dz be in order to deflect the beam 1 mm?arrow_forwardA circular coil of radius 5.0 cm is wound with five turns and carries a current of 5.0 A. If the coil is placed in a uniform magnetic field of strength 5.0 T, what is the maximum torque on it?arrow_forwardAn electron is accelerated through 2.40 103 V from rest and then enters a uniform 1.70-T magnetic field. What are (a) the maximum and (b) the minimum values of the magnetic force this particle experiences?arrow_forward
- A long, straight, horizontal wire carries a left-to-right current of 20 A. If the wire is placed in a uniform magnetic field of magnitude 4.0105 T that is directed vertically downward, what is tire resultant magnitude of the magnetic field 20 cm above the wire? 20 cm below the wire?arrow_forwardIf a charged particle moves in a straight line, can you conclude that there is no magnetic field present?arrow_forwardA particle having mass m = 2.80E-4 kg carries a negative charge q= −1.70E-6 C . The particle is given an initial velocity in the −y direction (downward), as shown in the figure, of v = 3.65E2 m/s. Everywhere in space there is a uniform constant magnetic field B = 0.340 T pointing in the +z direction, which is out of the plane of the page. What is the radius of the cyclotron orbit trajectory that this particle will move along (in m)?arrow_forward
- A uniform magnetic field of 2.00×10^(−3) T is applied to put an electron into a circular orbit with angular momentum 5.00×10^(−25) kg m^2/s. Calculate the orbital radius and the speed of the electron.arrow_forwardAtom 1 of mass 35 u and atom 2 of mass 37 u are both singly ionized with a charge of +e. After being introduced into a mass spectrometer and accelerated from rest through a potential difference v=7.3 kV, each ion follows a circular path in a uniform magnetic field of magnitude B = 0.50 T.What is the distance x between the points where the ions strike the detector?arrow_forwardMention all the different ways to reduce the magnetic force on a charge q to the minimum magnitude.arrow_forward
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