(Solution) - You are asked to construct a parallel plate air gap capacitor t -(2025 Original AI-Free Solution)

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You are asked to construct a parallel-plate, air-gap capacitor that will store 100 kJ of energy.
(a) What minimum volume is required between the plates of the capacitor?
(b) Suppose you have developed a dielectric that can withstand 3 × 108 V/m and has a dielectric constant of 5. What volume of this dielectric between the plates of the capacitor is required for it to be able to store 100 kJ of energy?