College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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### Problem Statement

In the figure, a 27 V battery is connected across capacitors of capacitances \( C_1 = C_6 = 4.5 \, \mu F \) and \( C_3 = C_5 = 2.5C_2 = 2.5C_4 = 6.0 \, \mu F \).

What are:
- (d) \( q_1 \) of capacitor 1
- (e) \( V_2 \) of capacitor 2
- (f) \( q_2 \) of capacitor 2
- (g) \( V_3 \) and (h) \( q_3 \) of capacitor 3?

### Description of the Configuration

The circuit consists of several capacitors arranged in a combination of series and parallel connections. Below is a description of the diagram for better understanding.

### Circuit Diagram Explanation

1. **Battery**: There is a 27 V battery connected to the circuit.
2. **Capacitors**: 
   - \( C_1 \) and \( C_6 \) each have a capacitance of \( 4.5 \, \mu F \).
   - \( C_3 \) and \( C_5 \) each have a capacitance of \( 6.0 \, \mu F \).
   - \( C_2 \) and \( C_4 \) each have a capacitance of \( 2.4 \, \mu F \), given \( 2.5C_2 = C_3 \).
3. **Connections**:
   - Capacitor \( C_1 \) is connected in series with \( C_6 \).
   - This series combination is connected in parallel with the series combination of \( C_4 \) and \( C_5 \).
   - Capacitor \( C_3 \) is connected in parallel with \( C_2 \).

### Diagram Breakdown

The top of the diagram displays \( C_4 \) and \( C_5 \) in series, connected on either side to the series circuit of \( C_1 \) and \( C_6 \).

The bottom of the diagram shows \( C_3 \) in parallel with \( C_2 \), and this combination is part of the series-parallel connections from above.

### Analysis Goals

To solve for the following quantities:
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Transcribed Image Text:### Problem Statement In the figure, a 27 V battery is connected across capacitors of capacitances \( C_1 = C_6 = 4.5 \, \mu F \) and \( C_3 = C_5 = 2.5C_2 = 2.5C_4 = 6.0 \, \mu F \). What are: - (d) \( q_1 \) of capacitor 1 - (e) \( V_2 \) of capacitor 2 - (f) \( q_2 \) of capacitor 2 - (g) \( V_3 \) and (h) \( q_3 \) of capacitor 3? ### Description of the Configuration The circuit consists of several capacitors arranged in a combination of series and parallel connections. Below is a description of the diagram for better understanding. ### Circuit Diagram Explanation 1. **Battery**: There is a 27 V battery connected to the circuit. 2. **Capacitors**: - \( C_1 \) and \( C_6 \) each have a capacitance of \( 4.5 \, \mu F \). - \( C_3 \) and \( C_5 \) each have a capacitance of \( 6.0 \, \mu F \). - \( C_2 \) and \( C_4 \) each have a capacitance of \( 2.4 \, \mu F \), given \( 2.5C_2 = C_3 \). 3. **Connections**: - Capacitor \( C_1 \) is connected in series with \( C_6 \). - This series combination is connected in parallel with the series combination of \( C_4 \) and \( C_5 \). - Capacitor \( C_3 \) is connected in parallel with \( C_2 \). ### Diagram Breakdown The top of the diagram displays \( C_4 \) and \( C_5 \) in series, connected on either side to the series circuit of \( C_1 \) and \( C_6 \). The bottom of the diagram shows \( C_3 \) in parallel with \( C_2 \), and this combination is part of the series-parallel connections from above. ### Analysis Goals To solve for the following quantities:
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None of these answers were correct. Do you know any mistakes that could have been made?

(d) Number
(e) Number
MI
IN
(h) Number
63.18
2.77
(f) Number i 6.925
(g) Number i 1.385
i 3.463
Units
Units V
Units
Units
UC
Units
UC
V
UC
>
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Transcribed Image Text:(d) Number (e) Number MI IN (h) Number 63.18 2.77 (f) Number i 6.925 (g) Number i 1.385 i 3.463 Units Units V Units Units UC Units UC V UC >
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Follow-up Questions
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Follow-up Question

None of these answers were correct. Do you know any mistakes that could have been made?

(d) Number
(e) Number
MI
IN
(h) Number
63.18
2.77
(f) Number i 6.925
(g) Number i 1.385
i 3.463
Units
Units V
Units
Units
UC
Units
UC
V
UC
>
expand button
Transcribed Image Text:(d) Number (e) Number MI IN (h) Number 63.18 2.77 (f) Number i 6.925 (g) Number i 1.385 i 3.463 Units Units V Units Units UC Units UC V UC >
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