Potential energy of an electric dipole

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SUMMARY

The discussion centers on calculating the potential energy of an electric dipole in a complex configuration. Participants suggest a method involving placing the center dipole in position while keeping the other two dipoles at infinity initially. The focus is on determining the direction of the electric field vector (##\vec E##) and evaluating which configuration (a or b) results in lower energy. This approach provides a systematic way to analyze the potential energy based on the arrangement of dipoles.

PREREQUISITES
  • Understanding of electric dipoles and their potential energy equations
  • Familiarity with electric field concepts and vector analysis
  • Basic knowledge of electrostatics and dipole interactions
  • Ability to visualize complex configurations in electrostatics
NEXT STEPS
  • Study the mathematical formulation of electric dipole potential energy
  • Learn about the superposition principle in electric fields
  • Explore the concept of energy minimization in electrostatic configurations
  • Investigate practical applications of dipole interactions in molecular chemistry
USEFUL FOR

Students of physics, electrical engineers, and anyone studying electrostatics or dipole interactions will benefit from this discussion.

Samanko
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Homework Statement
When three electric dipoles are near each other, they each experience the electric field of the other two, and the three-dipole system has a certain potential energy. Figure shows two arrangenents in which three electric dipoles are side by side. Each dipole has the same magnitude of electric dipole moment, and the spacings between adjacent dipoles are identical. In which arrangrment is the potential energy of the three-dipole system greater?
Relevant Equations
U = - p • E
This is a problem from a textbook, and I can't solve it.
I know that the equation of Potential energy of electric dipole. Since the configuration is a little bit complicated. I'm confused applying which electric fields.
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Samanko said:
I'm confused applying which electric fields
Try the following: place the center dipole in its position, leave the other two at infinity (e.g. to left and right). Now bring those two closer until you have the final configuration. Which way does ##\vec E## point ? So which of (a) and (b) is easier (cheaper, lower energy) ?
 
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BvU said:
Try the following: place the center dipole in its position, leave the other two at infinity (e.g. to left and right). Now bring those two closer until you have the final configuration. Which way does ##\vec E## point ? So which of (a) and (b) is easier (cheaper, lower energy) ?
Thank you!
 

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