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13 Dec 2019

At the very rear of any traditional television picture tube(cathode ray tube, or CRT) is an electron gun, in which a stream ofelectrons are individually accelerated from rest through apotential difference of Vacc. Assuming a frictionless transfer ofelectric potential energy to the kinetic energy of theelectron.

a)find an expression for the electrons final speed V1 (only interms of Vacc and any necessary physical constants).

The electron, now at this high speed V1, then passes horizontallyinto the region between two horizontal parallel plates. The plateshave length L and are spaced a distance d apart, and have apotential difference of Vb. The electron enters exactly at thehalfway point between the plates. Assume NO E-field fringing.

b) Find an expression for the magnitude of the acceleration of theelectron while its between the plates.

c) what is the direction of the acceleration of the electron whileit's BETWEEN the plates?

d) What is the electron's HORIZONTAL velocity component at themoment that it leaves the region between the plates?

e) What is the electron's VERTICAL velocity component at the momentthat it leaves the region between the plates? Is it toward the TOPor BOTTOM of the page?

f) What is the electron's VERTICAL DISPLACEMENT at the samemoment?

g) What is the maximum value that Vb can have so that the electronwill NOT collide with one of the plates?

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Sixta Kovacek
Sixta KovacekLv2
16 Dec 2019
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