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1. 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 Vp across them. The electrons are projected into this region at an angle 0 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, 0, e (the magnitude of the electron charge), and mo (the electron mass). a) Develop an equation for the speed Ve with which the electrons leave the electron gun. b) Develop an equation for the maximum distance ymax that the electrons travel above the lower plate. Suppose that a magnetic field directed into the plane or 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.

1. 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 Vp across them. The electrons are projected into this region at an angle 0 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, 0, e (the magnitude of the electron charge), and mo (the electron mass). a) Develop an equation for the speed Ve with which the electrons leave the electron gun. b) Develop an equation for the maximum distance ymax that the electrons travel above the lower plate. Suppose that a magnetic field directed into the plane or 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.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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1. 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 0 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, 0, e (the magnitude of the electron charge), and mo (the electron mass). a) Develop an equation for the speed ve with which the electrons leave the electron gun. b) Develop an equation for the maximum distance ymax that the electrons travel above the lower plate. Suppose that a magnetic field directed into the plane or 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. Vp Y max Ng Electron
Transcribed Image Text:1. 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 0 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, 0, e (the magnitude of the electron charge), and mo (the electron mass). a) Develop an equation for the speed ve with which the electrons leave the electron gun. b) Develop an equation for the maximum distance ymax that the electrons travel above the lower plate. Suppose that a magnetic field directed into the plane or 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. Vp Y max Ng Electron
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Please answer part d and please explain where the magnetic field will be and how will the magnetic field behave?

1. 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 0 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, 0, e (the magnitude of the electron charge), and mo (the electron mass). a) Develop an equation for the speed ve with which the electrons leave the electron gun. b) Develop an equation for the maximum distance ymax that the electrons travel above the lower plate. Suppose that a magnetic field directed into the plane or 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. Vp Y max Ng Electron
Transcribed Image Text:1. 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 0 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, 0, e (the magnitude of the electron charge), and mo (the electron mass). a) Develop an equation for the speed ve with which the electrons leave the electron gun. b) Develop an equation for the maximum distance ymax that the electrons travel above the lower plate. Suppose that a magnetic field directed into the plane or 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. Vp Y max Ng Electron
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