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Mark 2023-06-28 15:12:14 -07:00
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Misc/Warm-Ups/electician.tex
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@ -109,7 +109,8 @@
\end{minipage} \end{minipage}
\end{center} \end{center}
A switch is always in the \say{A} or \say{B} state. Its state changes when you toggle the switch on the wall. Each circle represents a terminal on the switch, and lines represent electrical connections. A switch is always in the \say{A} or \say{B} state. Its state changes when you toggle the switch on the wall. Each circle represents a terminal on the switch, and lines represent electrical connections. \par
The two crossing wires in the A state of the four-way switch are \textbf{not} connected.
\example{} \example{}
First, Ivan wires a simple light in the kitchen: one switch, one lamp. The result is the following circuit: First, Ivan wires a simple light in the kitchen: one switch, one lamp. The result is the following circuit:
@ -147,7 +148,10 @@
\end{center} \end{center}
\problem{} \problem{}
Ivan now needs to wire a hallway. It has two switches, one at each end. Toggling either switch should toggle the single lamp in the middle. Which switches should Ivan use, and how should he connect their terminals? Ivan now needs to wire a hallway. It has two switches, one at each end. \par
Toggling either switch should toggle the single lamp in the middle. \par
Which switches should Ivan use, and how should he connect their terminals? \par
\hint{There are two solutions. One is clever, the other is deadly.}
\vfill \vfill