Increase in internal energy due to polarization of a dielectric

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SUMMARY

The discussion centers on the internal energy changes in a dielectric when subjected to an electric field, specifically in the context of a plate capacitor. It is established that assuming the polarization of the dielectric does not significantly alter its internal energy is incorrect. The polarization, modeled as a density of dipoles, directly influences the energy within the electric field, necessitating a more nuanced understanding of dielectric behavior in capacitive systems.

PREREQUISITES
  • Understanding of capacitor theory and operation
  • Familiarity with dielectric materials and their properties
  • Knowledge of electric fields and polarization concepts
  • Basic principles of energy in electric fields
NEXT STEPS
  • Study the relationship between dielectric polarization and energy density in electric fields
  • Explore the mathematical modeling of dipole density in dielectrics
  • Investigate the effects of varying dielectric constants on capacitor performance
  • Learn about energy storage in capacitors with different dielectric materials
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Physics students, electrical engineers, and researchers interested in the behavior of dielectrics in capacitive applications.

Fibo112
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I have a plate capacitor with a given charge. It is then dipped in a dielectric fluid and I must determine which height the fluid reaches(all the necessary parameters are given). I can solve this problem if I make the following assumption: the polarization of the dielectric does not( or approximately does not) change its internal energy.

Is this a reasonable assumption? If so why?
 
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Fibo112 said:
Is this a reasonable assumption?
No, it isn't. If you model polarisation P as a density of dipoles, what will be their energy in an electric field?
 

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