In the endless endeavor to make electronic devices as small as possible, you have been hired to make a capacitor that has the greatest capacitance possible in a cubic volume of \((10 \mathrm{~mm}) \times(10 \mathrm{~mm}) \times(10 \mathrm{~mm})\). You are allowed to use any capacitor geometry you wish, as well as any combination of geometries. For simplicity, assume a dielectric constant of 1000 (as better materials are found, you can multiply the capacitance appropriately). You begin thinking about the minimum thickness of the conductors and dielectrics, and the scale of about \(0.5 \mu \mathrm{m}\) seems reasonable. There is the question of how to fill the volume while maintaining exactly two conducting surfaces. Describe the capacitor that meets all of these criteria.