2. An alpha particle (charge of 2e and mass of 4m,) passes into a uniform magnetic field of magnitude 1.1 x 10 -2 T[up] as shown while moving at 4.0 x 104 m/s [east]. The alpha particle leaves the magnetic field at point A. A proton moving at the same initial velocity as the alpha particle along the same initial path enters the same magnetic field. The proton leaves the field at X (not shown on the diagram but you may assume that A and X are on the same dotted straight line). How far apart are A and X? Show all work. Initial Path of both particles Path of just alpha particle. The point X is on this dotted line somewhere. A B field

2. An alpha particle (charge of 2e and mass of 4m,) passes into a uniform magnetic field of magnitude 1.1 x 10 -2 T[up] as shown while moving at 4.0 x 104 m/s [east]. The alpha particle leaves the magnetic field at point A. A proton moving at the same initial velocity as the alpha particle along the same initial path enters the same magnetic field. The proton leaves the field at X (not shown on the diagram but you may assume that A and X are on the same dotted straight line). How far apart are A and X? Show all work. Initial Path of both particles Path of just alpha particle. The point X is on this dotted line somewhere. A B field

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

Chapter29: Magnetic Fields

Section: Chapter Questions

Problem 29.10OQ: A charged particle is traveling through a uniform magnetic field. Which of the following statements...

See similar textbooks

Similar questions

Singly charged uranium-238 ions are accelerated through a potential difference of 2.00 kV and enter a uniform magnetic field of magnitude 1.20 T directed perpendicular to their velocities. (a) Determine the radius of their circular path. (b) Repeat this calculation for uranium-235 ions. (c) What If? How does the ratio of these path radii depend on the accelerating voltage? (d) On the magnitude of the magnetic field?
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.
At a certain location, Earth has a magnetic field of 0.60 104 T, pointing 75 below the horizontal in a north-south plane. A 10.0-m-long straight wire carries a 15-A current, (a) If the current is directed horizontally toward the east, what are the magnitude and direction of the magnetic force on tile wire? (b) What are the magnitude and direction of the force if the current is directed vertically upward?
An oxygen ion (O+) moves in the xy-plane with a speed of 2.50 103 m/s. If a constant magnetic field is directed along the z-axis with a magnitude of 2.00 105 T, find (a) the magnitude of the magnetic force acting on the ion and (b) the magnitude of the ions acceleration.
A charged particle moves in a straight line through a region of space. Which of the following answers must be true? (Assume any other fields are negligible.) The magnetic field (a) has a magnitude of zero (b) has a zero component perpendicular to the particles velocity (c) hits a zero component parallel to the particles velocity in that region.
A charged particle is traveling through a uniform magnetic field. Which of the following statements are true of the magnetic field? There may be more than one correct statement. (a) It exerts a force on the particle parallel to the field. (b) It exerts a force on the particle along the direction of its motion. (c) It increases the kinetic energy of the particle. (d) It exerts a force that is perpendicular to the direction of motion. (e) It does not change the magnitude of the momentum of the particle.
A uniform horizontal wire with a linear mass density of 0.50 g/m carries a 2.0-A current. It is placed in a constant magnetic field with a strength of 4.0 103 T. The field is horizontal and perpendicular to the wire. As the wire moves upward starting from rest, (a) what is its acceleration and (b) how long does it take to rise 0.50 m? Neglect the magnetic field of Earth.
Review. A particle with a mass of 2.00 1016 kg and a charge of 30.0 nC starts from rest, is accelerated through a potential difference V, and is fired from a small source in a region containing a uniform, constant magnetic field of magnitude 0.600 T. The particle's velocity is perpendicular to the magnetic field lines. The circular orbit of the panicle as it returns to the location of the source encloses a magnetic flux of 15.0 Wb. (a) Calculate the particles speed. (b) Calculate the potential difference through which the particle was accelerated inside the source.
If a cosmic ray proton approaches the Earth from outer space along a line toward the center of the Earth that lies in the plane of the equator, in what direction will it be deflected by the Earth’s magnetic field? What about an electron? A neutron?
3. In Niels Bohr’s 1913 model of the hydrogen atom, an electron circles the proton at a distance of 5.29 × 10−11 m with a speed of 2.19 × 106 m/s. Compute the magnitude of the magnetic field this motion produces at the location of the proton.
The magnetic field 40.0 cm away from a long, straight wire carrying current 2.00 A is 1.00 T. (a) At what distance is it 0.100 T? (b) At one instant, the two conductors in a long household extension cord carry equal 2.00-A currents in opposite directions. The two wires are 3.00 mm apart. Find the magnetic field 40.0 cm away from the middle of the straight cord, in the plane of the two wires. (c) At what distance is it one-tenth as large? (d) The center wire in a coaxial cable carries current 2.00 A in one direction, and the sheath around it carries current 2.00 A in the opposite direction. What magnetic field does the cable create at points outside?
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?