The figure below shows a capacitor, with capacitance  C = 27.5 µF,  and a resistor, with resistance  R = 87.5 kΩ,  connected in series to a battery, with   = 25.0 V.  The circuit has a switch, which is initially open. The circuit is a rectangular loop. The bottom side of the loop has an open switch S. The right side has a resistor R below a capacitor C. The left side has a battery labeled emf, oriented with the positive terminal above the negative terminal. (a) What is the circuit's time constant (in s)?    (b) After the switch is closed for one time constant, how much charge (in C) is on the capacitor?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter29: Direct Current (dc) Circuits
Section: Chapter Questions
Problem 32PQ
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The figure below shows a capacitor, with capacitance 
C = 27.5 µF,
 and a resistor, with resistance 
R = 87.5 kΩ,
 connected in series to a battery, with 
 = 25.0 V.
 The circuit has a switch, which is initially open.
The circuit is a rectangular loop. The bottom side of the loop has an open switch S. The right side has a resistor R below a capacitor C. The left side has a battery labeled emf, oriented with the positive terminal above the negative terminal.
(a)
What is the circuit's time constant (in s)?
  
(b)
After the switch is closed for one time constant, how much charge (in C) is on the capacitor?
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