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Energy Stored leading to Dielectric breakdown

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HPRF
#1
Dec29-09, 05:09 AM
P: 33
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?
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BertHickman
#2
Jan1-10, 05:22 PM
P: 8
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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