3. [7pts] With the switch closed, the circuit eventually reaches steady state. Use the loop and node rules to calculate the steady state charge on the capacitor. A battery with potential emf is connected with three resistors (resistances R, 2R, and 4R), a ca- pacitor (capacitance C), and a switch to close and open the circuit as shown. Assume all of the con- emf necting wires have zero resistance. 2R w 4R Έ R switch 1. [6pts] Write down the the node rule relating the currents IR, I2R, and I4R flowing through the three resistors, and all the loop rules that apply to this circuit when the switch is closed. Use the variable Q for the magnitude of the charge on the capacitor plates. 2. [7pts] Suppose that initially the capacitor is uncharged, and the switch is open. Using the equations you found above, find the current IR through the resistor with resistance R observed immediately after closing the switch.

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3. [7pts] With the switch closed, the circuit eventually reaches steady state. Use the loop and node rules to
calculate the steady state charge on the capacitor.
Transcribed Image Text:3. [7pts] With the switch closed, the circuit eventually reaches steady state. Use the loop and node rules to calculate the steady state charge on the capacitor.
A battery with potential emf is connected with
three resistors (resistances R, 2R, and 4R), a ca-
pacitor (capacitance C), and a switch to close and
open the circuit as shown. Assume all of the con- emf
necting wires have zero resistance.
2R
w
4R
Έ
R
switch
1. [6pts] Write down the the node rule relating the currents IR, I2R, and I4R flowing through the three resistors,
and all the loop rules that apply to this circuit when the switch is closed. Use the variable Q for the magnitude
of the charge on the capacitor plates.
2. [7pts] Suppose that initially the capacitor is uncharged, and the switch is open. Using the equations you
found above, find the current IR through the resistor with resistance R observed immediately after closing
the switch.
Transcribed Image Text:A battery with potential emf is connected with three resistors (resistances R, 2R, and 4R), a ca- pacitor (capacitance C), and a switch to close and open the circuit as shown. Assume all of the con- emf necting wires have zero resistance. 2R w 4R Έ R switch 1. [6pts] Write down the the node rule relating the currents IR, I2R, and I4R flowing through the three resistors, and all the loop rules that apply to this circuit when the switch is closed. Use the variable Q for the magnitude of the charge on the capacitor plates. 2. [7pts] Suppose that initially the capacitor is uncharged, and the switch is open. Using the equations you found above, find the current IR through the resistor with resistance R observed immediately after closing the switch.
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