Deflection of electron beam in oscilloscope

AI Thread Summary
The discussion focuses on calculating the deflection of an electron beam in a CRT tube, where an electric field between parallel plates causes the beam to deflect upwards. Key parameters include the kinetic energy of the electrons, the electric field strength, and the distance the beam travels along the plates. The force acting on the electrons is described by F=Eq, and the motion can be analyzed similarly to projectile motion, resulting in a parabolic trajectory. There is some confusion regarding the role of centripetal force, as it is typically perpendicular to velocity, which complicates the understanding of this scenario. Ultimately, the calculated deflection of the electron beam is 0.34 mm.
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Homework Statement



Calculate the deflection of an electron beam as it passes between the plates of a CRT tube.
In the picture, the parallel plates create an electric field, with the positive plate on top and the negative plate on bottom, causing the electron's path to be deflected upwards as it travels to the right.

Homework Equations



Kinetic energy of electrons: K = 3.2 x 10^-16 J
Electric field between plates: E = 1.2 x 10^4 N/C
Distance along plates = 15mm

The Attempt at a Solution



I know the equation F=Eq is involved. I've been told that the force is centripetal, so that the equation for centripetal force is also involved, but I am not entirely convinced. This is because centripetal force is always perpendicular to the velocity, but in this example that can't be the case.
So I am stuck and need help.

[edit] and the answer is 0.34mm
 
Last edited:
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Blehs said:

Homework Statement



Calculate the deflection of an electron beam as it passes between the plates of a CRT tube.
In the picture, the parallel plates create an electric field, with the positive plate on top and the negative plate on bottom, causing the electron's path to be deflected upwards as it travels to the right.

Homework Equations



Kinetic energy of electrons: K = 3.2 x 10^-16 J
Electric field between plates: E = 1.2 x 10^4 N/C
Distance along plates = 15mm


The Attempt at a Solution



I know the equation F=Eq is involved. I've been told that the force is centripetal, so that the equation for centripetal force is also involved, but I am not entirely convinced. This is because centripetal force is always perpendicular to the velocity, but in this example that can't be the case.
So I am stuck and need help.

[edit] and the answer is 0.34mm

A constant force F=qE acts on the electron in the vertical direction while its initial velocity is horizontal. The problem is analogous with projectile motion, the trajectory is parabolic. You can decompose the motion into horizontal and vertical direction.

ehild
 
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