# Energy Stored leading to Dielectric breakdown

 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=$$\frac{1}{2}$$(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?
 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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