Resistor Game

September 2009
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I saw a puzzle on this wiki: Resistor Game

A Black box with 4 terminals contains 5 resistors. All we know is the topology of the resistors. R₁, R₂, R₃, R₄, R₅, are all unknown. Is there a way to find out the value of R₁? Hint: You can use any lab equipment in the 2^nd floor.

The solution seems pretty obvious.

Measure using an ohm meter from the corners:
$R_1+R_4+R_5=\mbox{NorthWest to SouthEast}\>\>\>\{1\}\\ R_1+R_2+R_3=\mbox{NorthEast to SouthWest}\>\>\>\{2\}\\ R_4+R_3=\mbox{NorthWest to SouthWest}\>\>\>\{3\}\\ R_2+R_5=\mbox{NorthEast to SouthEast}\>\>\>\{4\}\\ \frac{(R_1+R_4+R_5)+(R_1+R_2+R_3)-(R_4+R_3)-(R_2+R_5)}{2}=\frac{\{1\}+\{2\}-\{3\}-\{4\}}{2}\\ R_1=\frac{\{1\}+\{2\}-\{3\}-\{4\}}{2}” style=”vertical-align:-20%;” class=”tex” alt=” R_1+R_4+R_5=\mbox{NorthWest to SouthEast}\>\>\>\{1\}\\ R_1+R_2+R_3=\mbox{NorthEast to SouthWest}\>\>\>\{2\}\\ R_4+R_3=\mbox{NorthWest to SouthWest}\>\>\>\{3\}\\ R_2+R_5=\mbox{NorthEast to SouthEast}\>\>\>\{4\}\\ \frac{(R_1+R_4+R_5)+(R_1+R_2+R_3)-(R_4+R_3)-(R_2+R_5)}{2}=\frac{\{1\}+\{2\}-\{3\}-\{4\}}{2}\\ R_1=\frac{\{1\}+\{2\}-\{3\}-\{4\}}{2}” /></p> </div> <div id=$

1 Comment »

I saw one for a job application in a magazine recently I will send it to you if you want.

Comment by fidelus — December 8, 2009 @ 2:41 pm

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Inconvenienced Electrons

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