What is the Charge of a Moving Particle in an Electric Field?

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A moving particle experiences a decrease in kinetic energy from 8560 eV to 6770 eV while transitioning between two electric potentials, -50.5 V at point A and +25.9 V at point B. The relevant equation for determining the charge of the particle is ΔKE/ΔV = q. A participant initially struggles with the calculations, questioning the correctness of their formulas due to the small expected charge value. Ultimately, they realize the charge corresponds to the small magnitude typical for elementary charges, confirming their understanding. The discussion highlights the relationship between kinetic energy changes and electric potential in determining particle charge.
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Homework Statement


A moving particle encounters an external electric field that decreases its kinetic energy from 8560 eV to 6770 eV as the particle moves from position A to position B. The electric potential at A is -50.5 V, and the electric potential at B is +25.9 V. Determine the charge of the particle. Include the algebraic sign (+ or −) with your answer.


Homework Equations


V=EPE/q, EPE=qEx=KE


The Attempt at a Solution


ΔKE/ΔV=q
 
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Rae_4 said:

Homework Statement


A moving particle encounters an external electric field that decreases its kinetic energy from 8560 eV to 6770 eV as the particle moves from position A to position B. The electric potential at A is -50.5 V, and the electric potential at B is +25.9 V. Determine the charge of the particle. Include the algebraic sign (+ or −) with your answer.


Homework Equations


V=EPE/q, EPE=qEx=KE


The Attempt at a Solution


ΔKE/ΔV=q

Hi Rae_4, Welcome to Physics Forums.

Did you have a particular question about the problem? You seem to be on the right track with your attempt.
 
Yeah. I'm trying that formula, but it keeps telling me my answer is incorrect. I'm not sure what I'm doing wrong. When I attempt the practice version it is trying to tell me the answer is times 10^-18 and nothing I have in that formula would give me a number that small. Are my formulas incorrect?
 
Rae_4 said:
nothing I have in that formula would give me a number that small. Are my formulas incorrect?
The energy is given in eV. The charge of an electron is 1.6021765 × 10 −19 coulomb. That's pretty small.
 
Figured it out. Thanks!
 
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