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.
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.
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Hello, I don't know how to do these four problems, I was wondering if you can help me, I need help with part A, PART B, AND PART C, AND ALSO 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 \(C_1\).
[FIG. 1: The scheme for Problem 1]
- The diagram shows a circuit with a battery of 100 V connected in series with a switch and capacitor \(C_1 = 15 \, \mu\text{F}\). Capacitors \(C_2 = 20 \, \mu\text{F}\) and \(C_3 = 30 \, \mu\text{F}\) are initially uncharged and part of the circuit once the switch is flipped to position B.
**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 the 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 \(Q_2\)?
[FIG. 2: The scheme for Problem 1b]
- This diagram shows the circuit after the switch is flipped to position B. Charges are redistributed, with \(Q_1\) on \(C_1\), and \(Q_2\) on \(C_2\) and \(C_3\).
**c)** Use Kirchhoff’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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febd70e09-720c-4302-80f0-344678c16f6a%2Fe4383786-b243-4cb4-b63c-be78f08eb1be%2Fkmka2b_processed.png&w=3840&q=75)
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 \(C_1\).
[FIG. 1: The scheme for Problem 1]
- The diagram shows a circuit with a battery of 100 V connected in series with a switch and capacitor \(C_1 = 15 \, \mu\text{F}\). Capacitors \(C_2 = 20 \, \mu\text{F}\) and \(C_3 = 30 \, \mu\text{F}\) are initially uncharged and part of the circuit once the switch is flipped to position B.
**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 the 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 \(Q_2\)?
[FIG. 2: The scheme for Problem 1b]
- This diagram shows the circuit after the switch is flipped to position B. Charges are redistributed, with \(Q_1\) on \(C_1\), and \(Q_2\) on \(C_2\) and \(C_3\).
**c)** Use Kirchhoff’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
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