Uniform Electric Field Calculation: Proton and Electron Motion

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Homework Help Overview

The problem involves a uniform electric field of 678 N/C between two parallel plates, with a proton released from the positive plate and an electron from the negative plate. The objective is to find the distance from the positive plate where they meet, while ignoring their mutual attraction.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the implications of constant acceleration due to the uniform electric field and question how to set up the relevant equations. There is uncertainty about the meeting point of the particles, with some suggesting it may be at the midpoint and others questioning this assumption.

Discussion Status

Participants are exploring different aspects of the problem, including the relationship between force, field strength, and particle acceleration. Some guidance has been offered regarding the nature of acceleration in an electric field, but no consensus has been reached on the exact approach to take.

Contextual Notes

Participants note that the plates are close together and that the electric field strength remains constant, which may influence the calculations. There is also mention of the differing masses of the proton and electron as a factor in their motion.

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Homework Statement



A uniform electric field of magnitude 678 N/C exists between two parallel plates that are 4.02 cm apart. A proton is released from the positive plate at the same instant that an electron is released from the negative plate. Determine the distance from the positive plate at which the two pass each other. (Ignore the electrical attraction between the proton and electron.)


Homework Equations


no relevant questions I can think of.


The Attempt at a Solution



Honestly I'm not even sure how to approach this question in terms of acceleration and velocity of these masses due to an electric field. I don't want somebody to do my homework for me, I just need some guidance of what equations to use and how to set them up.

Any help would be appreciated. Thanks!
 
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several ideas I can think of immediately are (ie. may not be completely reliable):
parallel plates -> uniform field -> constant acceleration while particles are moving. Force and field strength are related in a simple manner (check your text).. with a bit of luck they should meet at the midpoint between the plates(that's only a guess) It remains for you to work out an expression for the field strength as function of distance away from the plates (or would this be an overkill? nice to check anyway...)
 
the plates are pretty close and the field is uniform so the prof told us that the field strength would not weeken. He also mentioned that midway is not the correct answer...
 
Well here is a hint. The acceleration of a particle in an electric field is proportional to the strength of the field and charge (q) of the particle; and inversely proportional to the mass of the particle. I basically gave you a formula in words.
 
ah yes, forgot about the difference in mass, my apology
 

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