Deflection in a CRT: Problem more than halfway solved, stuck

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Homework Help Overview

The discussion revolves around a problem involving the deflection of an electron in a cathode-ray tube (CRT) under the influence of an electric field. The problem includes calculating forces, acceleration, and deflection distances as the electron moves through the deflection plates.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to solve multiple parts of the problem, successfully addressing parts (a) to (c) but struggling with parts (d) and (e). They question their approach to finding the angle of deflection and how to use that angle for further calculations.

Discussion Status

Participants are actively engaging with the original poster's attempts, providing guidance on how to approach the calculations for parts (d) and (e). There is a recognition of the need to incorporate previously calculated values into subsequent steps, indicating a productive direction in the discussion.

Contextual Notes

The original poster mentions specific values and calculations from previous parts of the problem, which are crucial for solving later parts. There is an implication of missing information regarding the time of travel, which is necessary for determining the vertical component of the velocity.

SuperCass
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Deflection in a CRT, Potential Problem: Problem more than halfway solved, stuck

Homework Statement



In Fig. 24-32 an electron is projected along the axis midway between the deflection plates of a cathode-ray tube with an initial speed of 6.40 106 m/s. The uniform electric field between the plates has a magnitude of 1.04 103 V/m and is upward.

24_32.gif


(a) What is the force (magnitude and direction) on the electron when it is between the plates?
(b) What is the acceleration of the electron (magnitude and direction) when acted on by the force in part (a)?
(c) How far below the axis has the electron moved when it reaches the end of the plates?
(d) At what angle with the axis is it moving as it leaves the plates?
(e) How far below the axis will it strike the fluorescent screen S?

Homework Equations



F=Eq
F=ma
V=W/q
V=kq/r

The Attempt at a Solution



I got parts a-c correct, a being 1.666e-16 N downward, b being 1.8473e14 m/s^2 downward, and c being .008118 meters.
Part d is giving me trouble. I've tried doing arctangent of .06/.008118, with .06 being the length of the plates and .008118 being how far down it travelled, but that didn't work. What am I doing wrong?
I'm also stuck on part e, but I think that's because I don't have part d.

Thank you!
 
Last edited:
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In (d) get the angle of the velocity vector. The horizontal component is given and you can find the vertical component from the vertical acceleration (you must have found the travel time when doing part c).
 
Thanks!

For part e, would I just use tangent of that angle and multiply it by .12 to get the needed value? Because that isn't working for me. What should I do?
 
Hello SuperCass for part e did you remember to add the deflection you calculated in part c?
 
*gasp* no! That worked! Thank you so much!
 

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