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The Square Plates of A 5000pF5000 - p F Parallel-Plate Capacitor Measure

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The square plates of a 5000pF5000 - p F parallel-plate capacitor measure 50 mm50 \mathrm {~mm} by 50 mm50 \mathrm {~mm} and are separated by a dielectric that is 0.23 mm0.23 \mathrm {~mm} thickand totally fills the region between the plates. The voltage rating (the maximum safe voltage) of the capacitor is 400 V400 \mathrm {~V} . What is the maximum energy that can be stored in this capacitor without damaging it? (ε0=8.85×1012C2/Nm2\left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } \right. )

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