Electrical potential energy: 3 charges in a line

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SUMMARY

The discussion centers on calculating the electric potential energy (EPE) of three charges arranged in a line: q1 at (-20cm, 0), q2 at (20cm, 0), and q3 at (60cm, 0). The correct formula for electric potential energy is U = k * (q_a * q_b) / r_{ab}, where r_{ab} is the distance between charges a and b. The initial attempts used an incorrect formula and misidentified r as the position rather than the distance between charges. Adjusting these parameters will yield the correct potential energy calculation.

PREREQUISITES
  • Understanding of electric potential energy (EPE) concepts
  • Familiarity with Coulomb's law and the constant k
  • Knowledge of charge interactions and distances in electrostatics
  • Basic algebra for manipulating equations
NEXT STEPS
  • Review the derivation of the electric potential energy formula U = k * (q_a * q_b) / r_{ab}
  • Practice problems involving multiple charges and their interactions
  • Explore the concept of electric fields and their relation to potential energy
  • Investigate the effects of charge magnitude and distance on potential energy calculations
USEFUL FOR

Students studying electrostatics, physics educators, and anyone interested in understanding electric potential energy in multi-charge systems.

alicemunro
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Homework Statement



A positive charge, q1 is at (-20cm,0). An equal and opposite charge q2 is at (20cm, 0). A positive charge q3, equal to q1, is placed at (60cm,0). What is the potential energy of the three charges??


Homework Equations



EPE= kq / r


The Attempt at a Solution


EPE = k( (5 X 10^-9)/.2) + (5 X 10^-6)/.6) - (5 X 10^-6)/.2))
= wrong answer
 
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alicemunro said:

Homework Statement



A positive charge, q1 is at (-20cm,0). An equal and opposite charge q2 is at (20cm, 0). A positive charge q3, equal to q1, is placed at (60cm,0). What is the potential energy of the three charges??


Homework Equations



EPE= kq / r


The Attempt at a Solution


EPE = k( (5 X 10^-9)/.2) + (5 X 10^-6)/.6) - (5 X 10^-6)/.2))
= wrong answer
It looks like you have additional information to provide such as the charges of q1,q2, q3 also your equation for electric potential energy is incorrect should be:
[tex]U = k \frac{q_a q_b}{r_{ab}}[/tex]
Finally I need to note that r is not the position but rather the relative distance between charges a and b. With these adjustments the answer should clear up a bit
 

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