We have all undoubtedly experienced a loss of electrical power in our office or our home. When this happens, even for a second, we typically find that we have to reset all of our digital alarm clocks. Let's assume that such a clock's internal digital hardware requires a current of 1 mA at a typical voltage level of 3.0 V, but the hardware will function properly down to 2.4 V. Under these assumptions, we wish to design a c irc uit that will 'hold" the voltage level for a short duration, for example, 1second. We know that the voltage across a capacitor cannot change instantaneously, and hence its use appears to be viable in this situation. Thus, we model this problem using the circuit in the figure below where the capacitor is employed to hold the voltage and the 1-rnA source represents the 1-mA load. Opens on power outages 1-mA load 3V As the circuit indicates, when the power fails, the capacitor must provide all the power for the digital hardware. The load, represented by the current source, will discharge the capacitor linearly. What should be the value of the capacitance to hold 2.4 volts for at least 1 s? || uF Answer must in numeral form, no decimal points, no units

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We have all undoubtedly experienced a loss of electrical power in our office or our home.
When this happens, even for a second, we typically find that we have to reset all of our digital
alarm clocks. Let's assume that such a clock's internal digital hardware requires a current
of 1 mA at a typical voltage level of 3.0 V, but the hardware will function properly down
to 2.4 V. Under these assumptions, we wish to design a c irc uit that will 'hold" the voltage
level for a short duration, for example, 1second.
We know that the voltage across a capacitor cannot change instantaneously, and hence its
use appears to be viable in this situation. Thus, we model this problem using the circuit in
the figure below where the capacitor is employed to hold the voltage and the 1-rmA source represents
the 1-mA load.
Opens on
power outages
1-mA
load
3V
As the circuit indicates, when the power fails, the capacitor must provide all the power
for the digital hardware. The load, represented by the current source, will discharge the
capacitor linearly.
What should be the value of the capacitance to hold 2.4 volts for at least 1 s?
uF
Answer must in numeral form, no decimal points, no units
Transcribed Image Text:We have all undoubtedly experienced a loss of electrical power in our office or our home. When this happens, even for a second, we typically find that we have to reset all of our digital alarm clocks. Let's assume that such a clock's internal digital hardware requires a current of 1 mA at a typical voltage level of 3.0 V, but the hardware will function properly down to 2.4 V. Under these assumptions, we wish to design a c irc uit that will 'hold" the voltage level for a short duration, for example, 1second. We know that the voltage across a capacitor cannot change instantaneously, and hence its use appears to be viable in this situation. Thus, we model this problem using the circuit in the figure below where the capacitor is employed to hold the voltage and the 1-rmA source represents the 1-mA load. Opens on power outages 1-mA load 3V As the circuit indicates, when the power fails, the capacitor must provide all the power for the digital hardware. The load, represented by the current source, will discharge the capacitor linearly. What should be the value of the capacitance to hold 2.4 volts for at least 1 s? uF Answer must in numeral form, no decimal points, no units
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