After your succesful experiment building a mass spectrometer, you decide to build a nitrogen laser. YouTube vidoes suggest that all you need is a few sheets of polished aluminum, some power supplies, and other assorted electrical components. You manage to find two pieces of aluminum of dimensions 0.9 m by 28 cm and you use these pieces to make a parallel plate capacitor with a spacing of 0.1 mm. The laser relies on breakdown of the air in between the plates.

Knowing that the breakdown of air requires an electric field of 3kV/mm, how much voltage do you need to charge the plates to in order to achieve breakdown? (In voltage)

Once breakdown occurs, the capacitor acts like a short circuit and allows all of the energy to released. If a nitrogen laser is 10% efficient at converting that electrical energy to light, how much energy is in each light pulse? (In Jewels)

Optional: The pulse duration of a nitrogen laser is to a good approximation just the amount of time it take the light to traverse the long distance of the capacitor (0.9 m). Use this to determine the average power in each laser pulse. (In watts)