**Problem 4:** In the circuit below, \( \Delta V_{\text{bat}} = 12 \, \text{V} \), the switch \( S \) is initially open, and the capacitors \( C_1 = 8 \, \mu \text{F} \), \( C_2 = 6 \, \mu \text{F} \), \( C_3 = 8 \, \mu \text{F} \), \( C_4 = 6 \, \mu \text{F} \) are initially uncharged. (a) What is \( Q_{1,a}, Q_{2,a}, Q_{3,a}, Q_{4,a} \)? The charges on the capacitors when \( S \) is open. **Answers:** \( Q_{1,a} = 28.8 \, \mu \text{C}, Q_{2,a} = 28.8 \, \mu \text{C}, Q_{3,a} = 28.8 \, \mu \text{C}, Q_{4,a} = 0 \, \mu \text{C} \).(b) What is \( Q_{1,b}, Q_{2,b}, Q_{3,b}, Q_{4,b} \)? The charges on the capacitors when \( S \) is closed. **Answers:** \( Q_{1,b} = 33 \, \mu \text{C}, Q_{2,b} = 33 \, \mu \text{C}, Q_{3,b} = 18.88 \, \mu \text{C}, Q_{4,b} = 14.16 \, \mu \text{C} \).**Diagram Explanation:**The diagram shows a series-parallel circuit with:- \( C_1 \) and \( C_2 \) in series with the voltage source \( \Delta V_{\text{bat}} \).- \( C_3 \) and \( C_4 \) both in parallel with the series about a switch \( S \).- When \( S \) is open, \( C_4 \) is disconnected from the circuit.- When \( S \) is closed, \( C_4 \) is connected in parallel with \( C_3 \).

Answered: Image /qna-images/answer/1e347e48-aab4-45bd-9cf3-7ee2430aa8e9.jpg

Problem 4: In the circuit below AVpat C2 = 6 µF, C3 = 8 µF, C4 = 6 µF are initially uncharged. (a) What is Q1,a, Q2,a, Q3,a, Q4,a? The charges on the capacitors when S is open. Answers: Q1,a = 28.8 µC, Q2.a = 28.8 µC, Q3.a (b) What is Q1,b, Q2,b, Q3,b, Q4,b? The charges on the capacitors when S is closed. Answers: Q1,6 = 33 µC, Q2,6 = 33 µC, Q3,6 = 18.88 µC, Q4,6 = 14.16 µC. 12 V, the switch S is initially open, and the capacitors C1 = 8 µF, 28.8 µC, Q4,a = 0 µC. S C1 AVpat C3 C4 C2

Problem 4: In the circuit below AVpat C2 = 6 µF, C3 = 8 µF, C4 = 6 µF are initially uncharged. (a) What is Q1,a, Q2,a, Q3,a, Q4,a? The charges on the capacitors when S is open. Answers: Q1,a = 28.8 µC, Q2.a = 28.8 µC, Q3.a (b) What is Q1,b, Q2,b, Q3,b, Q4,b? The charges on the capacitors when S is closed. Answers: Q1,6 = 33 µC, Q2,6 = 33 µC, Q3,6 = 18.88 µC, Q4,6 = 14.16 µC. 12 V, the switch S is initially open, and the capacitors C1 = 8 µF, 28.8 µC, Q4,a = 0 µC. S C1 AVpat C3 C4 C2

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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Question

**Problem 4:** In the circuit below, \( \Delta V_{\text{bat}} = 12 \, \text{V} \), the switch \( S \) is initially open, and the capacitors \( C_1 = 8 \, \mu \text{F} \), \( C_2 = 6 \, \mu \text{F} \), \( C_3 = 8 \, \mu \text{F} \), \( C_4 = 6 \, \mu \text{F} \) are initially uncharged.

(a) What is \( Q_{1,a}, Q_{2,a}, Q_{3,a}, Q_{4,a} \)? The charges on the capacitors when \( S \) is open.
**Answers:** \( Q_{1,a} = 28.8 \, \mu \text{C}, Q_{2,a} = 28.8 \, \mu \text{C}, Q_{3,a} = 28.8 \, \mu \text{C}, Q_{4,a} = 0 \, \mu \text{C} \).

(b) What is \( Q_{1,b}, Q_{2,b}, Q_{3,b}, Q_{4,b} \)? The charges on the capacitors when \( S \) is closed.
**Answers:** \( Q_{1,b} = 33 \, \mu \text{C}, Q_{2,b} = 33 \, \mu \text{C}, Q_{3,b} = 18.88 \, \mu \text{C}, Q_{4,b} = 14.16 \, \mu \text{C} \).

**Diagram Explanation:**

The diagram shows a series-parallel circuit with:
- \( C_1 \) and \( C_2 \) in series with the voltage source \( \Delta V_{\text{bat}} \).
- \( C_3 \) and \( C_4 \) both in parallel with the series about a switch \( S \).
- When \( S \) is open, \( C_4 \) is disconnected from the circuit.
- When \( S \) is closed, \( C_4 \) is connected in parallel with \( C_3 \).

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