Suppose you are given three 200Ω resistors. How many different configurations yielding different resistance values can be obtained using any number of resistors at any one time? Draw each of the configurations and calculate the total resistance value for each combination. To receive full credit, you must include all possible combinations with the correct resistance value. Open circuits and short circuits are not valid combinations. (You should use sketching software to show your circuits – for example, you can draw the circuits using drawing tools in PowerPoint, etc.).
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Verified answer
R
2R
R/2
3R
R/3
3R/2
2R/3
-R-
-RR-
-RRR-
-<RR>-
-<RRR>-
-<RR>R-
SIX. Note: <rr> means r and r are connected in parallel, -rr- means in series