Question

The circuit in Eigure P4.56 is used as a variable delay in a burglar alarm. The alarm is a siren with an internal resistance of $1 \mathrm{k} \Omega$. The alarm will not sound until the current $i_0$ exceeds $100 \mu \mathrm{~A}$. Use a graphical solution or a computer simulation to find the range of the variable resistor $R$ for which the delay is between 1 and 2 s . Assume the capacitor is initially uncharged. (FIGURE CAN'T COPY) Figure P4.56

   The circuit in Eigure P4.56 is used as a variable delay in a burglar alarm. The alarm is a siren with an internal resistance of $1 \mathrm{k} \Omega$. The alarm will not sound until the current $i_0$ exceeds $100 \mu \mathrm{~A}$. Use a graphical solution or a computer simulation to find the range of the variable resistor $R$ for which the delay is between 1 and 2 s . Assume the capacitor is initially uncharged.
(FIGURE CAN'T COPY)
Figure P4.56
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Principles and Applications of Electrical Engineering
Principles and Applications of Electrical Engineering
Giorgio Rizzoni,… 7th Edition
Chapter 4, Problem 56 ↓
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The circuit in Eigure P4.56 is used as a variable delay in a burglar alarm. The alarm is a siren with an internal resistance of $1 \mathrm{k} \Omega$. The alarm will not sound until the current $i_0$ exceeds $100 \mu \mathrm{~A}$. Use a graphical solution or a computer simulation to find the range of the variable resistor $R$ for which the delay is between 1 and 2 s . Assume the capacitor is initially uncharged. (FIGURE CAN'T COPY) Figure P4.56
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The timing device in an automobile’s intermittent wiper system is based on an RC time constant and utilizes a $0.500-\mu \mathrm{F}$ capacitor and a variable resistor. Over what range must $R$ be made to vary to achieve time constants from 2.00 to 15.0 s?

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00:01 So the time constant for the rc circuit is simply given by multiplication of resistance and the capacitance.
00:11 So for two seconds, that is the minimum of time constant.
00:17 So for two seconds, resistance is tau divided by c...
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