Deflection of electron beam in oscilloscope

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SUMMARY

The deflection of an electron beam in a CRT tube is calculated using the kinetic energy of electrons (K = 3.2 x 10^-16 J) and the electric field between the plates (E = 1.2 x 10^4 N/C). The force acting on the electron is given by F = qE, where q is the charge of the electron. The resulting deflection, determined through analysis of the motion, is 0.34 mm, illustrating a parabolic trajectory similar to projectile motion.

PREREQUISITES
  • Understanding of electric fields and forces (F = qE)
  • Knowledge of kinetic energy in electrons
  • Familiarity with projectile motion concepts
  • Basic principles of centripetal force
NEXT STEPS
  • Study the relationship between electric fields and particle motion in CRTs
  • Explore the equations of motion for charged particles in electric fields
  • Learn about the principles of centripetal force in non-uniform motion
  • Investigate the applications of CRT technology in modern displays
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Physics students, electrical engineers, and anyone interested in the principles of electron behavior in electric fields and CRT technology.

Blehs
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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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