A certain windmill produces an average of 0.50 MW of electrical power during the late evening hours when energy consumption is at a low (a four-hour span). An industrial capacitor (the “BC125”) has a capacitance of C = 63.0 F and operates with a maximum voltage of 125 V between its plates.

(a) You and your team are asked to determine how many of these capacitors will be needed to store the energy produced during the four off -peak hours in the late evening so that it can be used during the peak hours of the early afternoon.

(b) The same company that makes the BC125 storage capacitor has discovered a breakthrough dielectric material that they use in their new model of storage capacitor, the SBC240. The new dielectric does two things:

(1) Its dielectric constant is 2.5 times that of the dielectric in the BC125, 

(2) it can operate at 240 V. How many SBC240 capacitors are needed to store the off -peak windmill energy?