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 M resistor and a 12 V battery. a) Sketch this circuit. b) Calculate the final charge on the 1 uF 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 uF capacitor as a function of time, using your results from (b).

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
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Chapter29: Direct Current (dc) Circuits
Section: Chapter Questions
Problem 72PQ: A capacitor with initial charge Q0 is connected across a resistor R at time t = 0. The separation...
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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 M
resistor and a 12 V battery.
a) Sketch this circuit.
b) Calculate the final charge on the 1 uF 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 uF capacitor as a function of time, using your results
from (b).
Transcribed Image Text: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 M resistor and a 12 V battery. a) Sketch this circuit. b) Calculate the final charge on the 1 uF 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 uF capacitor as a function of time, using your results from (b).
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