Imagine you have six capacitors, one each of 1 mF, 2 mF, 3 mF, 4, mF, 5 mF, and 6 mF.

1. If you had to build a capacitor bank that was close to a capacitance of 7.13 mF using just these six capacitors, how would you do it? Draw it out and calculate the capacitance? How close can you get?

2. If you had to build a capacitor bank that had a capacitance of exactly 7.13 mF, but could use any combination of any number of the above capacitors, how would you do it? Draw it out and calculate the capacitance?