How to calculate vertical electron deflection between two charged plates?

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SUMMARY

The discussion focuses on calculating vertical electron deflection between two charged plates in a uniform electric field. The relevant equation used is E = sigma / (2 * epsilon_0), where sigma represents charge density and epsilon_0 is the permittivity of free space. Participants clarify that the vertical deflection can be determined using principles similar to those in projectile motion, as the electric field produces constant acceleration. The key takeaway is that understanding the relationship between electric fields and motion is essential for solving this problem.

PREREQUISITES
  • Understanding of electric fields and forces
  • Familiarity with the equation E = sigma / (2 * epsilon_0)
  • Knowledge of kinematics, particularly projectile motion
  • Basic concepts of charge density and permittivity
NEXT STEPS
  • Study the principles of uniform electric fields and their effects on charged particles
  • Learn how to apply kinematic equations to problems involving constant acceleration
  • Explore the concept of charge density in electrostatics
  • Investigate the relationship between electric fields and motion in physics
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism and kinematics, as well as educators looking for practical examples of electric field effects on charged particles.

Molly
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Homework Statement


In the problem, an election is moving though 2 charged plates
vertical electric field amount is given and its perpendicular to the electron’s original horizontal velocity. The initial speed of the electron is given and the horizontal distance it travels is given. Then it asks for the charge density, the vertical deflection, and the vertical component of Vf.

Homework Equations


E=sigma/ 2* epsilon 0.

The Attempt at a Solution


So i think I got the charge density correct, hopefully. I used the above equation to calculate sigma. What I am stuck on is how do I calculate vertical deflection? I feel like this is something really stupid to be confused about, but I don't know how to start it.
 
Last edited by a moderator:
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Molly said:
how do I calculate vertical deflection?
It's a uniform field so produces constant acceleration, just like in Earth's surface trajectory problems.
Does that help?
 

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