Circuit diagram · Estonian PhO 2017 #4

Physics · dc circuits

Problem

\begin{wrapfigure}[5]{r}{0.57\textwidth} \vspace{-23pt} \begin{circuitikz} \draw (0.4,0.3) node {A} (-0.3,0.6) node {B} (-0.3,-0.6) node {C} (0,0) node[spdt, xscale=-1] (Sw) (Sw.out 1) -- (-1.5,0.31) (Sw.out 2) -- (-0.59, -1.5) -- (-1.5, -1.5) to[american voltage source, l=9V9V] (-1.5,0.31) (Sw.in) to[resistor, l=RR] (3,0) -- (4,0) node[ocirc] (4.3,0) node {+} (4.3,-1.5) node {-} (4,-1.5) node[ocirc] -- (-0.59, -1.5) (3,-1.5) to[capacitor] (3,0) ; \end{circuitikz} \end{wrapfigure} A circuit diagram of an electronics device’s part is given in the figure. The diagram consists of a 9 V current source, a filter made of a capacitor and a resistor, a switch and output leads. The two possible positions of the switch are “on” (A and B are connected) and “off” (A and C are connected). If in the given circuit the switch is turned from the position “on” to “off” (that means to turn the device off) and next the voltage source’s polarity is reversed then the electronics device will still work after turning it on. However, if the voltage source’s polarity is changed without turning the device off, then the resistor RR will fuse. Assuming that the resistor will fuse when the power on it exceeds 0,25 W, find the minimal and maximal value of RR.

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