Physics

Capacitors Solutions

Charging and Discharging a Capacitor in an R-C Circuit
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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 E 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, Kirchhoffs 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
Part F
In the steady state, what is the charge of the capacitor?
Express your answer in terms of any or all of E, R, and C.
► View Available Hint(s)
IVO AEO
0
2
9
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v
Part G
Figure
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How much work W is done by the voltage source by the time the steady state is reache
Express your answer in terms any or all of E, R, and C.
R
View Available Hint(s)
10=0
IVO AE
?
C40=0
W =
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