A \(1.0-\mu \mathrm{F}\) parallel-plate capacitor with a plate spacing of \(50 \mu \mathrm{m}\) is charged up to the breakdown threshold.

(a) If the electric field in the air between the capacitor plates is \(3.0 \times 10^{6} \mathrm{~V} / \mathrm{m}\), how much energy is stored in the capacitor? Express your answer in joules.

(b) How high must you raise this book \((m \approx 2 \mathrm{~kg}\) ) to increase the gravitational potential energy of the Earth-book system by the same amount?