To understand the dynamics of a series R-C circuit. Consider a series circuit containing a resistor of resistance R and a capacitor of capacitance C connected to a source of EMF & with negligible internal resistance. The wires are also assumed to have zero resistance. Initially, the switch is open and the capacitor discharged. (Figure 1) Let us try to understand the processes that take place after the switch is closed. The charge of the capacitor, the current in the circuit, and, correspondingly, the voltages across the resistor and the capacitor, will be changing. Note that at any moment in time during the life of our circuit, Kirchhoff's loop rule holds and indeed, it is helpful: E-VR-VC=0, where VR is the voltage across the resistor, and Vc is the voltage across the capacitor.

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter9: Current And Resistance
Section: Chapter Questions
Problem 84CP: In this chapter, most examples and problems involved direct current (DC). DC circuits have the...
Question

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Eventually, the process approaches a steady state. In that steady state, the charge of the capacitor is not changing. What is the current in
the circuit in the steady state?
▸ View Available Hint(s)
E
R+C
E
R-C
E
C-R
zero
Transcribed Image Text:Eventually, the process approaches a steady state. In that steady state, the charge of the capacitor is not changing. What is the current in the circuit in the steady state? ▸ View Available Hint(s) E R+C E R-C E C-R zero
Learning Goal:
To understand the dynamics of a series R-C circuit.
Consider a series circuit containing a resistor of resistance R and a capacitor of
capacitance C connected to a source of EMF & with negligible internal resistance.
The wires are also assumed to have zero resistance. Initially, the switch is open and
the capacitor discharged. (Figure 1)
Let us try to understand the processes that take place after the switch is closed. The
charge of the capacitor, the current in the circuit, and, correspondingly, the voltages
across the resistor and the capacitor, will be changing. Note that at any moment in
time during the life of our circuit, Kirchhoff's loop rule holds and indeed, it is helpful:
E-VR-VC=0, where VR is the voltage across the resistor, and Vc is the
voltage across the capacitor.
Figure
R
ww
40-0
C
90-0
1 of 2
Transcribed Image Text:Learning Goal: To understand the dynamics of a series R-C circuit. Consider a series circuit containing a resistor of resistance R and a capacitor of capacitance C connected to a source of EMF & with negligible internal resistance. The wires are also assumed to have zero resistance. Initially, the switch is open and the capacitor discharged. (Figure 1) Let us try to understand the processes that take place after the switch is closed. The charge of the capacitor, the current in the circuit, and, correspondingly, the voltages across the resistor and the capacitor, will be changing. Note that at any moment in time during the life of our circuit, Kirchhoff's loop rule holds and indeed, it is helpful: E-VR-VC=0, where VR is the voltage across the resistor, and Vc is the voltage across the capacitor. Figure R ww 40-0 C 90-0 1 of 2
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OpenStax