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A particle of mass m = 1.5 x 10-16 kg and charge q = 2.3 × 10-16 C first accelarates under a potential difference of V = 103 V then enters a uniform magnetic field of a magnetic field vector directed vertically to the path of the particle. It is observed that the particle comes out of the uniform B field region in the reverse direction with a trajectory paralell to the original path which is shifted by Ax as seen in the figure below. It is measured that the particle spends 2.5 × 10-3 s in the magnetic field region. (a) What is the shift Ax for the trajectory? (b) What is the magnitude and direction of the magnetic field? (c) Now a second charged particle of unkown mass and charge Q = 8.5 x 10-15 C enters the same magnetic field region under the same accelerating potential. It is then observed that the radius of the trajectory of the particle in the magnetic field region is 3 x 10-² m. What is the mass of the particle? uniformm B field regian (d) Finally, a third particle of the same cgarge and mass as the second one is accelarated under the same accelarating potential before it enters the uniform magnetic field region. Now we apply a uniform electric field also in the same magnetic field region so that the third particle will show no deviation from its original trajectory. What must be the magnitude and direction of this applied electric field? Ax

A particle of mass m = 1.5 x 10-16 kg and charge q = 2.3 × 10-16 C first accelarates under a potential difference of V = 103 V then enters a uniform magnetic field of a magnetic field vector directed vertically to the path of the particle. It is observed that the particle comes out of the uniform B field region in the reverse direction with a trajectory paralell to the original path which is shifted by Ax as seen in the figure below. It is measured that the particle spends 2.5 × 10-3 s in the magnetic field region. (a) What is the shift Ax for the trajectory? (b) What is the magnitude and direction of the magnetic field? (c) Now a second charged particle of unkown mass and charge Q = 8.5 x 10-15 C enters the same magnetic field region under the same accelerating potential. It is then observed that the radius of the trajectory of the particle in the magnetic field region is 3 x 10-² m. What is the mass of the particle? uniformm B field regian (d) Finally, a third particle of the same cgarge and mass as the second one is accelarated under the same accelarating potential before it enters the uniform magnetic field region. Now we apply a uniform electric field also in the same magnetic field region so that the third particle will show no deviation from its original trajectory. What must be the magnitude and direction of this applied electric field? Ax

Principles of Physics: A Calculus-Based Text
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 71P: Assume the region to the right of a certain plane contains a uniform magnetic field of magnitude...
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A particle of mass m = 1.5 x 10-16 kg and charge q = 2.3 × 10-16 C first accelarates under a potential difference of V = 103 V then enters a uniform magnetic field of a magnetic field vector directed vertically to the path of the particle. It is observed that the particle comes out of the uniform B field region in the reverse direction with a trajectory paralell to the original path which is shifted by Ax as seen in the figure below. It is measured that the particle spends 2.5 × 10-3 s in the magnetic field region. (a) What is the shift Ax for the trajectory? (b) What is the magnitude and direction of the magnetic field? (c) Now a second charged particle of unkown mass and charge Q = 8.5 x 10-15 C enters the same magnetic field region under the same accelerating potential. It is then observed that the radius of the trajectory of the particle in the magnetic field region is 3 x 10-² m. What is the mass of the particle? uniformm B field regian (d) Finally, a third particle of the same cgarge and mass as the second one is accelarated under the same accelarating potential before it enters the uniform magnetic field region. Now we apply a uniform electric field also in the same magnetic field region so that the third particle will show no deviation from its original trajectory. What must be the magnitude and direction of this applied electric field? Ax
Transcribed Image Text:A particle of mass m = 1.5 x 10-16 kg and charge q = 2.3 × 10-16 C first accelarates under a potential difference of V = 103 V then enters a uniform magnetic field of a magnetic field vector directed vertically to the path of the particle. It is observed that the particle comes out of the uniform B field region in the reverse direction with a trajectory paralell to the original path which is shifted by Ax as seen in the figure below. It is measured that the particle spends 2.5 × 10-3 s in the magnetic field region. (a) What is the shift Ax for the trajectory? (b) What is the magnitude and direction of the magnetic field? (c) Now a second charged particle of unkown mass and charge Q = 8.5 x 10-15 C enters the same magnetic field region under the same accelerating potential. It is then observed that the radius of the trajectory of the particle in the magnetic field region is 3 x 10-² m. What is the mass of the particle? uniformm B field regian (d) Finally, a third particle of the same cgarge and mass as the second one is accelarated under the same accelarating potential before it enters the uniform magnetic field region. Now we apply a uniform electric field also in the same magnetic field region so that the third particle will show no deviation from its original trajectory. What must be the magnitude and direction of this applied electric field? Ax
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