Charged Particles (Potential Energy)

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SUMMARY

The discussion focuses on the electric potential energy of four pairs of charged particles, utilizing the equation U = W = (kq1q2)/r. Participants ranked the pairs based on their potential energy, arriving at the conclusion that the correct ranking is 3=4>2=1. Additionally, it was established that increasing the separation between particles 3 and 4 results in a decrease in potential energy, while particles 1 and 2 experience an increase in potential energy.

PREREQUISITES
  • Understanding of electric potential energy and its calculation using U = W = (kq1q2)/r
  • Familiarity with the concept of charged particles and their interactions
  • Basic knowledge of ranking systems in physics
  • Ability to analyze changes in potential energy with varying separations
NEXT STEPS
  • Study the implications of Coulomb's Law in electric potential energy calculations
  • Explore the concept of electric fields and their relation to potential energy
  • Investigate the effects of varying charge magnitudes on potential energy
  • Learn about energy conservation in systems of charged particles
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding electric potential energy in charged particle systems.

kilnvzol
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Homework Statement


Figure 24-21 shows four pairs of charged particles with identical separations. (a) Rank the pairs according to their electric potential energy (that is, the energy of the two-particle system), greatest (most positive) first. (b) For each pair, if the separation between the particles is increased,does the potential energy of the pair increase or decrease?
image102120141236.png

Homework Equations


U = W = (kq1q2)/r

The Attempt at a Solution


For part a, I got the ranking 3,2,4,1 by subtracting the second particle from the first one. ie. (1) -2-(+6) = -8
For part b, I got 1,4 increase whereas 2,3 decrease from the equation.
I haven't gotten the answers to these but I want to make sure I'm right.
Thank you! :oldbiggrin:
 
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kilnvzol said:

Homework Statement


Figure 24-21 shows four pairs of charged particles with identical separations. (a) Rank the pairs according to their electric potential energy (that is, the energy of the two-particle system), greatest (most positive) first. (b) For each pair, if the separation between the particles is increased,does the potential energy of the pair increase or decrease?
image102120141236.png

Homework Equations


U = W = (kq1q2)/r

The Attempt at a Solution


For part a, I got the ranking 3,2,4,1 by subtracting the second particle from the first one. ie. (1) -2-(+6) = -8
For part b, I got 1,4 increase whereas 2,3 decrease from the equation.
I haven't gotten the answers to these but I want to make sure I'm right.
Thank you! :oldbiggrin:
Not correct.

Did you use the relevant equation ?
 
SammyS said:
Not correct.

Did you use the relevant equation ?
Would this be right?
a. 3=4>2=1
b. 3&4 decrease 1&2 increase
 
kilnvzol said:
Would this be right?
a. 3=4>2=1
b. 3&4 decrease 1&2 increase
That looks to be correct .
 
SammyS said:
That looks to be correct .
Thank you!
 

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