Electron accelerated through a potential difference of 26000

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Homework Help Overview

The problem involves an electron being accelerated through a potential difference of 26000 V between two plates, followed by its motion in a magnetic field. The focus is on understanding the relationship between electric potential energy and kinetic energy in this context.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the relationship between potential difference and energy, with one attempting to find velocity but encountering missing variables. Others suggest considering the implications of energy loss and its connection to kinetic energy.

Discussion Status

Some participants have provided insights into the energy transformations occurring as the electron exits the plates, which may guide the original poster toward a better understanding of the problem. There is an ongoing exploration of the concepts involved, but no consensus has been reached.

Contextual Notes

The original poster notes a lack of distance information, which complicates their attempts to solve for velocity. This constraint is acknowledged in the discussion.

iancurtis
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Homework Statement


An electron is accelerated from rest through a potential difference of 26000 V, which exists between plates P1 and P2, shown below. The electron then passes through a small opening into a magnetic field of uniform field strength, B. As indicated, the magnetic field is directed into the page.

Homework Equations





The Attempt at a Solution


I've tried various ways of solving for velocity, but i always come to an equation where i am missing a variable. i tried finding the work so i could divide by the distance to get the force , but i was not given distance.
 

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I had a very similar problem in my physics class, but it turns out there was just an equation that I was unaware of, namely U=qV where U is potential energy, q is a point charge, and V is the potential difference.
 
Well, when the electron is accelerated through two plates with a potential difference of 26000V, the electron has lost 26000V of electric potential. What does this tell you about the electric potential energy of the electron at the moment it exits the plates? In turn, what does that tell you about the kinetic energy of the electron at that point? That should get you on the right rack for finding the velocity.
 
Millacol88 said:
Well, when the electron is accelerated through two plates with a potential difference of 26000V, the electron has lost 26000V of electric potential. What does this tell you about the electric potential energy of the electron at the moment it exits the plates? In turn, what does that tell you about the kinetic energy of the electron at that point? That should get you on the right rack for finding the velocity.

thank you so much man, can't believe i didn't think of that. its so obvious now.
 
iancurtis said:
thank you so much man, can't believe i didn't think of that. its so obvious now.

No problem. :smile: If you need some help analyzing its motion, when it enters the magnetic field, just post again. :wink:
 

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