Problem 1: Initially, the switch in Fig 1. is in its position A and capacitors C₂ and C3 are uncharged. Then the switch is flipped to position B. Afterward, what are the charge on and the potential dif- ference across each capacitor? Partial answer: AV₁ = 55 V, AV₂ = 33.5 V. a) While the capacitor is in position A, as shown in Fig.1, com- pute the charge Q accumulated on the plates of the capacitor C₁.
Problem 1: Initially, the switch in Fig 1. is in its position A and capacitors C₂ and C3 are uncharged. Then the switch is flipped to position B. Afterward, what are the charge on and the potential dif- ference across each capacitor? Partial answer: AV₁ = 55 V, AV₂ = 33.5 V. a) While the capacitor is in position A, as shown in Fig.1, com- pute the charge Q accumulated on the plates of the capacitor C₁.
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Hello, I keep getting the wrong answer for each part of this problem, can you help me with PART A,PART B AND Part C and can you label which one is which and go step by step so I can understand what I did wrong. thank you
![Problem 1: Initially, the switch in Fig 1. is in its position A and
capacitors C₂ and C3 are uncharged. Then the switch is flipped to
position B. Afterward, what are the charge on and the potential dif-
ference across each capacitor?
Partial answer: AV₁ = 55 V, AV₂ = 33.5 V.
a) While the capacitor is in position A, as shown in Fig.1, com-
pute the charge Q accumulated on the plates of the capacitor C₁.
b) After the switch is flipped to the position B, the battery is no longer
connected to the contour and the charge redistributes between the ca-
pacitors as shown in Fig.2. Notice that I used the fact that the segment
between the capacitors C₂ and C3 has to be neutral (therefore, they have
the same charge), but the segments connecting C₁ to C₂ and C₁ to C3 are
not neutral. What can you say about the sum of charges Q₁ and Q₂?
Switch
100V
A
C₁
B
100V
LC₁₂2= 20 μF
т Cз=30MF
ISHF
FIG. 1: The scheme for Problem 1
Q₁
-Q₁
Q2
-=-=T-Q₂
Q2
Q2
-T-Q₂
FIG. 2: The scheme for Problem 1b
c) Use Kirchhoff's loop law to get another relation between charges Q₁ and Q2. Starting from point B
in Fig.2, move counterclockwise along the loop and register the potential differences that you encounter
when crossing the capacitors (pay attention to the signs - when you move from a positively charged to a
negatively charged plate, the potential is decreasing). The sum of all potential differences has to be zero.
d) You answers to parts b) and c) give you a system of two equations that you can solve to find individual
values of charges Q₁ and Q2. Solve it to find the values of the charges, and then compute the potential
differences across each capacitor.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07b57639-8324-41f4-a4fb-e434577b4de4%2F44ab86b8-59fe-422d-b3d7-af5429789ac0%2Flrbr4kp_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 1: Initially, the switch in Fig 1. is in its position A and
capacitors C₂ and C3 are uncharged. Then the switch is flipped to
position B. Afterward, what are the charge on and the potential dif-
ference across each capacitor?
Partial answer: AV₁ = 55 V, AV₂ = 33.5 V.
a) While the capacitor is in position A, as shown in Fig.1, com-
pute the charge Q accumulated on the plates of the capacitor C₁.
b) After the switch is flipped to the position B, the battery is no longer
connected to the contour and the charge redistributes between the ca-
pacitors as shown in Fig.2. Notice that I used the fact that the segment
between the capacitors C₂ and C3 has to be neutral (therefore, they have
the same charge), but the segments connecting C₁ to C₂ and C₁ to C3 are
not neutral. What can you say about the sum of charges Q₁ and Q₂?
Switch
100V
A
C₁
B
100V
LC₁₂2= 20 μF
т Cз=30MF
ISHF
FIG. 1: The scheme for Problem 1
Q₁
-Q₁
Q2
-=-=T-Q₂
Q2
Q2
-T-Q₂
FIG. 2: The scheme for Problem 1b
c) Use Kirchhoff's loop law to get another relation between charges Q₁ and Q2. Starting from point B
in Fig.2, move counterclockwise along the loop and register the potential differences that you encounter
when crossing the capacitors (pay attention to the signs - when you move from a positively charged to a
negatively charged plate, the potential is decreasing). The sum of all potential differences has to be zero.
d) You answers to parts b) and c) give you a system of two equations that you can solve to find individual
values of charges Q₁ and Q2. Solve it to find the values of the charges, and then compute the potential
differences across each capacitor.
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