Energy Stored leading to Dielectric breakdown

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SUMMARY

The discussion centers on calculating the dielectric strength of a gas filling a cavity based on energy storage and dielectric breakdown. Initially, a cavity can store 1J of electromagnetic energy at a dielectric breakdown of 3kV/mm. To determine the dielectric strength for a scenario where the energy stored increases to 4J, the correct approach involves using the equation U = (1/2)(epsilon)E². This leads to the conclusion that the required electric field strength is 6kV/mm, indicating that the new gas must withstand this level without breaking down.

PREREQUISITES
  • Understanding of electromagnetic energy storage
  • Familiarity with dielectric breakdown concepts
  • Knowledge of the equation U = (1/2)(epsilon)E²
  • Basic principles of electric field strength
NEXT STEPS
  • Research the properties of different gases as dielectrics
  • Learn about dielectric strength testing methods
  • Explore the implications of energy storage in capacitors
  • Study the effects of electric field variations on dielectric materials
USEFUL FOR

Electrical engineers, physicists, and students studying electromagnetism or materials science will benefit from this discussion, particularly those interested in dielectric materials and energy storage applications.

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Homework Statement



A cavity can only store 1J of EM energy as it reaches dielectric breakdown at 3kV/mm. What dielectric strength would a new gas filling the cavity have if the energy stored was to be 4J.

Homework Equations



U=\frac{1}{2}(epsilon)E2

The Attempt at a Solution



I would use the above equation to find the E field that would result in 4J of energy stored. Can anyone tell me if this is the correct approach to answering this question?
 
Last edited:
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That's the correct approach. The energy scales as the E-field squared, so quadrupling the energy doubles the required E-field, so the gas dielectric must be able to withstand a field of 6 kV/mm without breaking down.
 

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