7 maxFactrerElectrons are accelerated from rest in an electron gun between two plates that have a voltage Vg acrossthem. The electrons then move into the region between two other parallel plates of separation d that havevoltage V, across them. The electrons are projected into this region at an angle q to the plates as shownabove. Assume that the entire apparatus is in vacuum and that Vp > Vg. Display all results in terms thatinclude 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.VeDevelop 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 theupper platesc. 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.

Old trajectory of electron is parabolic in shape when magnetic field is absent and when magnetic…

Answered: 7 max Factrer Electrons are accelerated…

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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CASE STUDY In Example 34.6 (page 1111), we imagined equipping 1950DA, an asteroid on a collision course with the Earth, with a solar sail in hopes of ejecting it from the solar system. We found that the enormous size required for the solar sail makes the plan impossible at this time. Of course, there is no need to eject such an object from the solar system: we only need to change the orbit. A much more pressing problem is Apophis, a 300-m asteroid that may be on a collision course with the Earth and is due to come by on April 13, 2029. It is unlikely to hit the Earth on that pass, but it will return again in 2036. If Apophis passes through a 600-m keyhole on its 2029 pass, it is expected to hit the Earth in 2036. causing great damage. There are plans to deflect Apophis when it comes by in 2029. For example, we could hit it with a 10- to 150-kg impactor accelerated by a solar sail. The impactor is launched from the Earth to start orbiting the Sun in the same direction as the Earth and Apophis. The idea is to use a solar sail to accelerate the impactor so that it reverses direction and collides head-on with Apophis at 8090 km/s and thereby keeps Apophis out of the keyhole. Consider the momentum in the impactors orbit (Fig. P34.75) when the solar sail makes an angle of = 60 with the tangent to its orbit. Current solar sails may be about 40 m on a side, but the hope is to construct some that are about 160 m on a side. Estimate the impactors tangential acceleration when it is about 1 AU from the Sun. Keep in mind that the sail is neither a perfect absorber nor a perfect reflector, and a heavier impactor would presumably be equipped with a larger sail. Dont be surprised by what may seem like a very small acceleration. FIGURE P34.75

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