Halliday, Resnick & Walker — Capacitance: Problem 25

25 A certain parallel-plate capacitor is filled with a dielectric for which \(\kappa = 2.4\). The area of each plate is \(0.017 \text{ m}^2\), and the plates are separated by \(2.0 \text{ mm}\). The capacitor will fail (short out and burn up) if the electric field between the plates exceeds \(200 \text{ kN/C}\). What is the maximum energy that can be stored in the capacitor?