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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- Switch + 100V A C₁ =ISμF LC₁₂=20μF -C3=30μF

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- Switch + 100V A C₁ =ISμF LC₁₂=20μF -C3=30μF

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
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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I am having trouble with PART B, PART C AND PART D , IS THERE ANY CHANCE YOU CAN HELP ME WITH THOSE PROBLEMS I KEEP GETTING THE WRONG ANSWER, CAN YOU LABEL WHICH ONE IS WHICH. Thank you

**Problem 1:** Initially, the switch in Fig. 1 is in its position A, and capacitors \(C_2\) and \(C_3\) are uncharged. Then the switch is flipped to position B. Afterward, what are the charge on and the potential difference across each capacitor? *Partial answer*: \(\Delta V_1 = 55 \, \text{V}, \Delta V_2 = 33.5 \, \text{V}\). --- **(a)** While the capacitor is in position A, as shown in Fig. 1, compute the charge \(Q\) accumulated on the plates of the capacitor \(C_1\). --- **(b)** After the switch is flipped to position B, the battery is no longer connected to the contour, and the charge redistributes between the capacitors as shown in Fig. 2. Notice that I used the fact that the segment between capacitors \(C_2\) and \(C_3\) has to be neutral (therefore, they have the same charge), but the segments connecting \(C_1\) to \(C_2\) and \(C_1\) to \(C_3\) are not neutral. What can you say about the sum of charges \(Q_1\) and \(Q_2\)? --- **(c)** Use Kirchoff’s loop law to get another relation between charges \(Q_1\) and \(Q_2\). 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)** Your answers to parts (b) and (c) give you a system of two equations that you can solve to find individual values of charges \(Q_1\) and \(Q_2\). Solve it to find the values of the charges and then compute the potential differences across each capacitor. --- **Figures:** **FIG. 1: The scheme for Problem 1** This diagram shows a circuit with a switch labeled A/B connecting to a 15 µF capacitor (\(C_1\)), a 20 µF capacitor (\(C_2\
Transcribed Image Text:**Problem 1:** Initially, the switch in Fig. 1 is in its position A, and capacitors \(C_2\) and \(C_3\) are uncharged. Then the switch is flipped to position B. Afterward, what are the charge on and the potential difference across each capacitor? *Partial answer*: \(\Delta V_1 = 55 \, \text{V}, \Delta V_2 = 33.5 \, \text{V}\). --- **(a)** While the capacitor is in position A, as shown in Fig. 1, compute the charge \(Q\) accumulated on the plates of the capacitor \(C_1\). --- **(b)** After the switch is flipped to position B, the battery is no longer connected to the contour, and the charge redistributes between the capacitors as shown in Fig. 2. Notice that I used the fact that the segment between capacitors \(C_2\) and \(C_3\) has to be neutral (therefore, they have the same charge), but the segments connecting \(C_1\) to \(C_2\) and \(C_1\) to \(C_3\) are not neutral. What can you say about the sum of charges \(Q_1\) and \(Q_2\)? --- **(c)** Use Kirchoff’s loop law to get another relation between charges \(Q_1\) and \(Q_2\). 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)** Your answers to parts (b) and (c) give you a system of two equations that you can solve to find individual values of charges \(Q_1\) and \(Q_2\). Solve it to find the values of the charges and then compute the potential differences across each capacitor. --- **Figures:** **FIG. 1: The scheme for Problem 1** This diagram shows a circuit with a switch labeled A/B connecting to a 15 µF capacitor (\(C_1\)), a 20 µF capacitor (\(C_2\
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