A relay’s contacts or a transistor’s collector–emitter can be used to create opens and shorts. Figure F–10(a) uses a relay to short one resistor in a series circuit (relay operation is described in Section 2–6). Sketch the waveform at V_{\mathrm{out}} in Figure F–10(a).
When the R_{1} coil energizes, the R1 contacts close, shorting the 2-kΩ resistor and making V_{\mathrm{out}}= 0\;V. When the coil is deenergized, the contacts are open, and V_{\mathrm{out}} is found using the voltage-divider equation.
V_{\mathrm{out}} =12\,\mathrm{V}\times\frac{2\,\mathrm{k}\,\Omega}{2\,\mathrm{k}\,\Omega\,+\,4\,\mathrm{k}\,\Omega}
= 4 V
The clock oscillator (C_{p}) and V_{\mathrm{out}} waveforms are given in Figure F–10(b).