Horizontal plate fields physics

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SUMMARY

The discussion focuses on the physics of an electron being accelerated through two sets of parallel plates. The first set of vertical plates has a potential difference of 260V and a separation of 5.5 cm, while the second set of horizontal plates has a potential difference of 550V and a separation of 10 cm. The velocity of the electron as it enters the horizontal plates can be calculated using energy conservation principles. Additionally, the discussion addresses the conditions under which the electron will exit the plates without hitting the top plate, emphasizing the need for precise calculations based on its trajectory.

PREREQUISITES
  • Understanding of electric fields and potential difference
  • Knowledge of kinematics and projectile motion
  • Familiarity with energy conservation in physics
  • Basic calculus for trajectory calculations
NEXT STEPS
  • Calculate the final velocity of an electron in an electric field using the formula: v = sqrt(2 * e * V / m)
  • Explore the concept of projectile motion to determine the trajectory of the electron between the plates
  • Investigate the conditions for an object to just miss a boundary in projectile motion
  • Learn about the effects of varying potential differences on particle acceleration
USEFUL FOR

Physics students, educators, and anyone interested in understanding the dynamics of charged particles in electric fields.

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Homework Statement


Two sets of parallel plates can be used to accelerate and direct an electron. the first set of plates is arranged vertically. the distance separating these plates is 5.5 cm . the potential difference between these plates is 260V. the electron starts from rest on the left vertical plate and accelerates through the field through a tiny opening on the opposite plate. at this point, the electrons enters horizontal plates. A distance of 10cm separates the horizontal plates.the potential difference between these plates is 550 V.

A) with what velocity will the electron enter the horizontal plates?
b) if the electron enters the horizontal plates half way between them and assuming that the horizontal length of the plates is 14.0 cm, will it leave the plates? prove it.
c) if the electron enters the horizontal plates halfway between them, what would the horizontal length of the plates be if it were to just miss the top horizontal plate as it exits?
 
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You may need to put more work into this before someone decides to help. For example, how do you know that it won't leave the plates? Your proof towards this should guide your solution for part c.
 

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