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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. Switch + 100V A =ISμF _C₁₂=20μF C3=30μF FIG. 1: The scheme for Problem 1

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. Switch + 100V A =ISμF _C₁₂=20μF C3=30μF FIG. 1: The scheme for Problem 1

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Hello, I really need help with part A,Part B, and Part C because I don't know how to do this problem, is there any chance that you can help me with those problems and can you label them as well, thank you so much

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 81c₂=20μF B CISμF FIG. 1: The scheme for Problem 1 Q₁ 헤어 =C₂=30μF 100V -Q₁ + Q₂ 2 F-Q₂ Q2 +Q₂ FQ₂ 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.
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 81c₂=20μF B CISμF FIG. 1: The scheme for Problem 1 Q₁ 헤어 =C₂=30μF 100V -Q₁ + Q₂ 2 F-Q₂ Q2 +Q₂ FQ₂ 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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