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

AI Thread Summary
The discussion revolves around solving a problem related to the deflection of an electron in a cathode-ray tube (CRT). Key points include the calculation of the force on the electron, which is determined to be 1.666e-16 N downward, and the acceleration calculated as 1.8473e14 m/s² downward. The distance the electron moves below the axis when reaching the end of the plates is found to be 0.008118 meters. Participants are troubleshooting the calculation of the angle of deflection and the final position of the electron on the screen, with guidance provided on using the correct components of motion. The conversation highlights the importance of incorporating previously calculated values to arrive at the correct solution.
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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