Smallest possible positive voltage drop
Suppose you have a 1V DC supply and 6 equal resistors. One arrangement of those resistors provides two points between which there is the smallest possible positive voltage drop. What is that voltage drop?
I believe that the optimum arrangement is to put 2 resistors in parallel with three resistors, and then hang the 6th resistor across the two chains. The voltage drop across this 6th resistor is 1/13 volts.
This problem easily generalizes into N resistors, where N > 6, but I don't know the answer to that.
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