Potential energy of an arrangement of point charges

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SUMMARY

The potential energy of a system composed of three charges, q1, q3, and q4, is calculated using the formula U = k * (q1 * q2) / r. In this case, q1 is 1.9 µC, while q3 and q4 are both -1.8 µC, positioned in a triangle formation. The distance from q1 to each of the other charges is 4.1 cm. The initial calculation of potential energy was incorrect due to the oversight of including the interaction between q3 and q4, which also contributes to the total potential energy of the system.

PREREQUISITES
  • Understanding of electrostatics and Coulomb's law
  • Familiarity with the concept of potential energy in electric fields
  • Knowledge of point charge arrangements
  • Ability to perform calculations involving microcoulombs (µC) and distances in centimeters
NEXT STEPS
  • Study the principles of Coulomb's law and its applications in electrostatics
  • Learn how to calculate potential energy for multiple point charges
  • Explore the concept of electric field strength and its relation to potential energy
  • Investigate the effects of charge symmetry on potential energy calculations
USEFUL FOR

Students studying electrostatics, physics educators, and anyone interested in understanding the potential energy of systems involving point charges.

acdurbin953
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Homework Statement


What is the potential energy of the system composed of the three charges q1, q3, and q4, when q1 is at point R? Define the potential energy to be zero at infinity.

Charges are arranged in a triangle, with q3 and q4 located up and down 2.2 cm from the origin, and q1 on the x-axis at a distance R = 3.5 cm from the origin.

q1 = 1.9uC
q3 = q4 = -1.8 uC
distance from q1 to each of the other 2 charges is 4.1 cm

Homework Equations


U-kqq/r

The Attempt at a Solution


U1 = [(9E9)(-1.8E-6)(1.9E6)]/0.041 = -0.751

Since there is symmetry I doubled U1 to find U = -1.501, however that answer is wrong. Where am I messing up?
 
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I just figured out that you have to also considered the two point charges potential energy on each other. Case closed! Sorry for the (unnecessary) post.
 

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