A 1000 pF capacitor is connected in series with a 2000 pF capacitor. Initially, the charges onthe two capacitors are zero. At time t = 0, the combination is connected in series with a 1 MΩresistor and a 12 V battery.a) Sketch this circuit.b) Calculate the final charge on the 1 µF capacitor after a sufficiently long time, and estimatewhether a characteristic time would be some milliseconds, some seconds, or some hours.c) Sketch a graph of the voltage on the 1 µF capacitor as a function of time, using your resultsfrom (b).

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ISBN:9781305952300
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Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A 1000 pF capacitor is connected in series with a 2000 pF capacitor. Initially, the charges on
the two capacitors are zero. At time t = 0, the combination is connected in series with a 1 MΩ
resistor and a 12 V battery.
a) Sketch this circuit.
b) Calculate the final charge on the 1 µF capacitor after a sufficiently long time, and estimate
whether a characteristic time would be some milliseconds, some seconds, or some hours.
c) Sketch a graph of the voltage on the 1 µF capacitor as a function of time, using your results
from (b). 

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