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In the figure a 27 V battery is connected across capacitors of capacitances C₁ = C6 = 4.5 µF and C3 = C₁ = 2.5C₂ = 2.5C4 = 6.0 μF. What are (d) q1 of capacitor 1, (e) V₂ and (f) 92 of capacitor 2, and (g) v3 and (h) 93 of capacitor 3? C₁ C4 C3 特 C₂₁

In the figure a 27 V battery is connected across capacitors of capacitances C₁ = C6 = 4.5 µF and C3 = C₁ = 2.5C₂ = 2.5C4 = 6.0 μF. What are (d) q1 of capacitor 1, (e) V₂ and (f) 92 of capacitor 2, and (g) v3 and (h) 93 of capacitor 3? C₁ C4 C3 特 C₂₁

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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:
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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(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 >
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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