1. (2 pts) I decide to build a capacitor with two identical conducting parallel plates separated by a 1mm empty gap. I would like a charge of +1?C and -1?C on the two plates to result in a potential difference between them of 100V.

a. Determine what the capacitance of the plates would have to be.

b. What would the area of these plates have to be?

c. What would the area of the plates have to be if the gap between them were filled with material with a dielectric constant of 200?

2. (2 pts) Two conducting shapes are charged with +1?C and -1?C. There is a region between them (shown in grey in the figure) where their surfaces are flat and parallel and separated by 10^-4m. The electric field in this region is uniform, points from one conductor to the second, and has a value of 5 x 10⁵ N/C. Find the capacitance of this system.