What is the maximum electric field in the system?

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SUMMARY

The discussion focuses on calculating the maximum electric field between two parallel plates with varying materials: air, a conductor, and a dielectric with a relative permittivity of 80. The formula for the electric field, E = V/d, is insufficient alone; it must incorporate the effects of the dielectric and the configuration of the capacitors. The problem is essentially about analyzing two capacitors in series, one with a dielectric and one without, requiring a detailed understanding of electric field distribution in heterogeneous media.

PREREQUISITES
  • Understanding of electrostatics and electric fields
  • Familiarity with capacitors and their configurations
  • Knowledge of dielectric materials and their properties
  • Ability to apply the formula E = V/d in varying contexts
NEXT STEPS
  • Study the concept of electric field distribution in capacitors with dielectrics
  • Learn about the relationship between electric flux density and electric field strength
  • Explore the effects of series and parallel capacitor configurations on electric fields
  • Investigate the breakdown voltage of air and other materials under electric fields
USEFUL FOR

Students in physics or electrical engineering, educators teaching electrostatics, and professionals working with capacitors and dielectric materials will benefit from this discussion.

john88
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Homework Statement



Two parallel plates are connected to a constant electrostatic potential.
Half the space between the plates is filled whit air, one quarter whit a conductor and the fourth quarter whit a dielectric whit realtive permittivity of 80. What is the maximum electric field in the system?


Homework Equations



Between the plates [tex]E = \frac{V}{d}[/tex] V = potential difference and d = distance between plates.

The Attempt at a Solution



Well first I think that the air will "break" first. I do also think that I need to calculate the flux density first, however I am not sure how to procced
 
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It's just two capacitors in series.. one with dielectric and one without (and different dimensions).
 

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