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7 max Factrer Electrons are accelerated from rest in an electron gun between two plates that have a voltage Vg across them. The electrons then move into the region between two other parallel plates of separation d that have voltage V, across them. The electrons are projected into this region at an angle q to the plates as shown above. Assume that the entire apparatus is in vacuum and that Vp > Vg. Display all results in terms that include d, Vg, Vp, q, e (the magnitude of the electron charge), and m. (the electron mass). a. b. Develop an equation for the speed v. with which the electrons leave the electron gun. Ve Develop an equation for the maximum distance y max that the electrons travel above the lower plate. Suppose that a magnetic field directed into the plane of the paper is introduced in the region between the upper plates c. How will the speed with which the electrons strike the lower plate be affected? Explain. d. Sketch on the diagram a trajectory that an electron might follow with the magnetic field present. Account qualitatively for the difference between the new and old trajectory.

7 max Factrer Electrons are accelerated from rest in an electron gun between two plates that have a voltage Vg across them. The electrons then move into the region between two other parallel plates of separation d that have voltage V, across them. The electrons are projected into this region at an angle q to the plates as shown above. Assume that the entire apparatus is in vacuum and that Vp > Vg. Display all results in terms that include d, Vg, Vp, q, e (the magnitude of the electron charge), and m. (the electron mass). a. b. Develop an equation for the speed v. with which the electrons leave the electron gun. Ve Develop an equation for the maximum distance y max that the electrons travel above the lower plate. Suppose that a magnetic field directed into the plane of the paper is introduced in the region between the upper plates c. How will the speed with which the electrons strike the lower plate be affected? Explain. d. Sketch on the diagram a trajectory that an electron might follow with the magnetic field present. Account qualitatively for the difference between the new and old trajectory.

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter34: Maxwell’s Equations And Electromagnetic Waves
Section: Chapter Questions
Problem 59PQ
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7 max Factrer Electrons are accelerated from rest in an electron gun between two plates that have a voltage Vg across them. The electrons then move into the region between two other parallel plates of separation d that have voltage V, across them. The electrons are projected into this region at an angle q to the plates as shown above. Assume that the entire apparatus is in vacuum and that Vp > Vg. Display all results in terms that include d, Vg, Vp, q, e (the magnitude of the electron charge), and m. (the electron mass). a. b. Develop an equation for the speed v. with which the electrons leave the electron gun. Ve Develop an equation for the maximum distance y max that the electrons travel above the lower plate. Suppose that a magnetic field directed into the plane of the paper is introduced in the region between the upper plates c. How will the speed with which the electrons strike the lower plate be affected? Explain. d. Sketch on the diagram a trajectory that an electron might follow with the magnetic field present. Account qualitatively for the difference between the new and old trajectory.
Transcribed Image Text:7 max Factrer Electrons are accelerated from rest in an electron gun between two plates that have a voltage Vg across them. The electrons then move into the region between two other parallel plates of separation d that have voltage V, across them. The electrons are projected into this region at an angle q to the plates as shown above. Assume that the entire apparatus is in vacuum and that Vp > Vg. Display all results in terms that include d, Vg, Vp, q, e (the magnitude of the electron charge), and m. (the electron mass). a. b. Develop an equation for the speed v. with which the electrons leave the electron gun. Ve Develop an equation for the maximum distance y max that the electrons travel above the lower plate. Suppose that a magnetic field directed into the plane of the paper is introduced in the region between the upper plates c. How will the speed with which the electrons strike the lower plate be affected? Explain. d. Sketch on the diagram a trajectory that an electron might follow with the magnetic field present. Account qualitatively for the difference between the new and old trajectory.
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