Consider the following circuit. A 200 pF capacitor is connected in series with an unknown capacitor, and as a series combination they are connected in parallel with a 100 pF capacitor. The potential between point a and b is 26 V and the 200 pF stores 40 nJ of energy. [Answer in 3 significant figures] a) [10 pts] What is the unknown capacitance? 200 pF b) [12 pts] What is the equivalent capacitance of the circuit? c) [8 pts] If you want to construct this equivalent capacitor with two 1.0 cm x 1.0 cm square aluminum electrodes, spaced 0.40 mm apart, and filled with dielectric material. What would be the dielectric constant of this material? 100 pF a