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.
Chapter8: Electromagnetism And Em Waves
Section: Chapter Questions
Problem 9Q
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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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