Given a set of three identical resistors of equal value R, the following value cannot be generated from a combination of the complete set:
A) 3R
B) (1/3) R
C) (3/2) R
D) (2/3) R
E) Hold on; all of the above are possible.

Question

Quizplus · Accepted Answer

All the given values can be generated using combinations of three identical resistors. For 3R, connect them in series. For (1/3)R, it's not directly achievable since the minimum resistance you can get by combining three resistors is R (all in parallel). However, the question might be interpreted as which values can be generated from combinations, implying any configuration, including not using all resistors or misinterpretation of the question's phrasing. Given the standard interpretations of resistor combinations, (1/3)R cannot be directly achieved with three resistors without considering complex configurations or not using all resistors. The correct interpretation should be that all other values (3R, (3/2)R, (2/3)R) can be achieved by series, parallel, or a combination of both configurations. My initial explanation mistakenly included an incorrect interpretation regarding the (1/3)R configuration.

Given a Set of Three Identical Resistors of Equal Value