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Energy Stored leading to Dielectric breakdown

  1. Dec 29, 2009 #1
    1. The problem statement, all variables and given/known data

    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.


    2. Relevant equations

    U=[tex]\frac{1}{2}[/tex](epsilon)E2


    3. 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: Dec 29, 2009
  2. jcsd
  3. Jan 1, 2010 #2
    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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