A proton (charge +e, mass mp), a deuteron (charge +e, mass 2mp), and an alpha particle (charge +2e, mass 4m,accelerated from rest through a common potential difference AV. Each of the particles enters a uniform magnetic field B, withits velocity in a direction perpendicular to B. The proton moves in a circular path of radius r(a) In terms of rp, determine the radius rd of the circular orbit for the deuteron.rd=p'(b) In terms of r, determine the radius r for the alpha particle.αr=α

When a charged particle is accelerated through a potential difference ΔV, it gains kinetic energy…

Answered: A proton (charge +e, mass mp), a…

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

Chapter22: Magnetic Forces And Magnetic Fields

Section: Chapter Questions

Problem 60P: In Niels Bohr’s 1913 model of the hydrogen atom, the single electron is in a circular orbit of...

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A particle moving downward at a speed of 6.0106 m/s enters a uniform magnetic field that is horizontal and directed from east to west. (a) If the particle is deflected initially to the north in a circular arc, is its charge positive or negative? (b) If B = 0.25 T and the charge-to-mass ratio (q/m) of the particle is 40107 C/kg. what is ±e radius at the path? (c) What is the speed of the particle after c has moved in the field for 1.0105s ? for 2.0s?
A particle of charge q and mass m is accelerated from rest through a potential difference V, after silica it encounters a uniform magnetic field B. If the particle moves in a plane perpendicular to B, shaft is the radius of its circular orbit?
At a particular instant an electron is traveling west to east with a kinetic energy of 10 keV. Earth's magnetic field has a horizontal component of 1.8105 T north and a vertical component of 5.0105 T down. (a) What is the path of the election? (b) What is the radius of curvature of the path?
A circular loop of wire of area 10 cm2 carries a current of 25 A. At a particular instant, the loop lies in the xy-plane and is subjected to a magnetic field B=(2.0i+6.0j+8.0k)103T . As viewed from above the xy-plane, the current is circulating clockwise. (a) What is the magnetic dipole moment of the current loop? (b) At this instant, what is the magnetic torque on the loop?
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An electron of kinetic energy 2000 eV passes between parallel plates that are 1.0 an apart and kept at a potential difference of 300 V. What is the strength of the uniform magnetic field B that will allow the electron to travel undeflected through the plates? Assume E and B are perpendicular.
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?
(a) A cosmic ray proton moving toward Earth at 5.00107 m/s experiences a magnetic force of 1.70l0l6 N. What is the strength of the magnetic field if there is a 45 angle between it and the proton’s velocity? (b) Is the value obtained in part a. consistent with the known strength of Earth's magnetic field on its surface? Discuss.
Consider an electron rotating in a circular orbit of radius r. Show that the magnitudes of the magnetic dipole moment and the angular momentum L of the electron are related by: = L=e2m

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