1. The switch in the image closes at time t = 0. The graph shows the current through the resistor as a function of time for four different combinations of resistance and capacitance. Assume that R = 4 and C = 2 μF. (a) Match each plot in the graph to the correct value of R and C. 2R and 2C: R and 2C: 2R and C: 2.0 1.8 1.6 A 1.4 R and C: (b) What is the emf of the battery? Show your work. ε = Current (A) 1.2 Switch closes at / 0 s. C 1.0 0.8 D 0.6 0.4 0.2 B 0.0 0 0.1 Time (s) 0.2 0.3 2. The emf of the battery is 5 V, the capacitance of the capacitor is 4 µF, and the resistance of each identical resistor is 10. The switch has been open for a long time, then closed at t = 0. Show your work on each step. (a) What is the current through the numbered resistors immediately after the switch has closed? 11 12 = = (b) What is the current through the numbered resistors long after the switch has closed? R₁ R₂ m 11 = 12 = (c) If the switch is then reopened, what is the current through the numbered resistors immediately after the switch is reopened? 11 = 12 =
1. The switch in the image closes at time t = 0. The graph shows the current through the resistor as a function of time for four different combinations of resistance and capacitance. Assume that R = 4 and C = 2 μF. (a) Match each plot in the graph to the correct value of R and C. 2R and 2C: R and 2C: 2R and C: 2.0 1.8 1.6 A 1.4 R and C: (b) What is the emf of the battery? Show your work. ε = Current (A) 1.2 Switch closes at / 0 s. C 1.0 0.8 D 0.6 0.4 0.2 B 0.0 0 0.1 Time (s) 0.2 0.3 2. The emf of the battery is 5 V, the capacitance of the capacitor is 4 µF, and the resistance of each identical resistor is 10. The switch has been open for a long time, then closed at t = 0. Show your work on each step. (a) What is the current through the numbered resistors immediately after the switch has closed? 11 12 = = (b) What is the current through the numbered resistors long after the switch has closed? R₁ R₂ m 11 = 12 = (c) If the switch is then reopened, what is the current through the numbered resistors immediately after the switch is reopened? 11 = 12 =
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Transcribed Image Text:1. The switch in the image closes at time t = 0. The graph shows the current through the
resistor as a function of time for four different combinations of resistance and capacitance.
Assume that R = 4 and C = 2 μF.
(a) Match each plot in the graph to the correct value of R and C.
2R and 2C:
R and 2C:
2R and C:
2.0
1.8
1.6
A
1.4
R and C:
(b) What is the emf of the battery? Show your work.
ε =
Current (A)
1.2
Switch closes
at / 0 s.
C
1.0
0.8
D
0.6
0.4
0.2
B
0.0
0
0.1
Time (s)
0.2
0.3
2. The emf of the battery is 5 V, the capacitance of the capacitor is 4 µF, and the resistance of each identical
resistor is 10. The switch has been open for a long time, then closed at t = 0. Show your work on each step.
(a) What is the current through the numbered resistors immediately after the switch
has closed?
11
12
=
=
(b) What is the current through the numbered resistors long after the switch has closed?
R₁
R₂
m
11
=
12
=
(c) If the switch is then reopened, what is the current through the numbered resistors immediately after the
switch is reopened?
11 =
12
=
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