# Finding electric potential difference to stop a electron between 2 plates

## Homework Statement

Question: an electron with a velocity of 5.0x10$$^{}6$$ m/s is injected into a parallel plate apparatus through a hole in the positive plate. it moves across the vacuum between the plates. what would the potential difference have to be in order to stop the electron 25% of the way across the gap?

## Homework Equations

conservation of energy eqations and electromagnetic equations

## The Attempt at a Solution

if we set the base line at the positive plate:
E$$_{}kinetic 1$$ + E$$_{}electric potential 1$$ = E $$_{}electric potential 2$$

Vq + 1/2 mV$$^{}2$$ = Vq(0.75) <---- (to account for the 25%)

V(-1.6 x 10$$^{}-19$$ ) + 1/2 (9.1 x 10$$^{}-31$$ )(5x10$$^{}6$$) $$^{}2$$ = V(-1.6x10$$^{}-19$$)(.75)

when i do this my answer does not come out to what it is supposed to (which is 285 j/c)
what am i doing wrong

## Answers and Replies

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G01
Homework Helper
Gold Member
I get 285V when I work through your numbers. Your doing the problem correctly, but you may have made an error in computing the numbers. Check your calculations for an error.

kewl thanks for confirming that