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Switch S1 has been closed and S2 has open for a long time until the capacitors are fully charged. At t=0, S1 is opened and S2 is closed. If x=12V, C₁=4mF and C₂=8mF, R₁=3.48k and R₂-4.24 ks; what is the voltage on C₁ at t=0? Please express your answer using one decimal place. E R₁ www C₂ a b S₂ R₂

Switch S1 has been closed and S2 has open for a long time until the capacitors are fully charged. At t=0, S1 is opened and S2 is closed. If x=12V, C₁=4mF and C₂=8mF, R₁=3.48k and R₂-4.24 ks; what is the voltage on C₁ at t=0? Please express your answer using one decimal place. E R₁ www C₂ a b S₂ R₂

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College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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### Problem Description Switch S1 has been closed and S2 has been open for a long time until the capacitors are fully charged. At t=0, S1 is opened and S2 is closed. If ε = 12 V, C1 = 4 mF, and C2 = 8 mF, R1 = 3.48 kΩ, and R2 = 4.24 kΩ; what is the voltage on C1 at t=0? Please express your answer using one decimal place. ### Circuit Diagram Explanation The circuit diagram depicts a network consisting of the following components: - **Voltage Source (ε)**: Provides a constant voltage of 12 V. - **Resistors (R1 and R2)**: R1 has a resistance of 3.48 kΩ and R2 has a resistance of 4.24 kΩ. - **Capacitors (C1 and C2)**: C1 has a capacitance of 4 mF and C2 has a capacitance of 8 mF. - **Switches (S1 and S2)**: S1 is initially closed, while S2 is initially open. - **Connecting Nodes (a and b)**: These are points where multiple components meet and define potential differences. When S1 is closed and S2 is open, current flows through R1, charging C1 and C2. At t=0, S1 is opened, stopping current from the voltage source, and S2 is closed, allowing current and charge redistribution between the capacitors through R2. ### Answer: ```plaintext Answer: ``` Provide the calculated voltage on capacitor C1 at the instant t=0 based on the above conditions and component values.
Transcribed Image Text:### Problem Description Switch S1 has been closed and S2 has been open for a long time until the capacitors are fully charged. At t=0, S1 is opened and S2 is closed. If ε = 12 V, C1 = 4 mF, and C2 = 8 mF, R1 = 3.48 kΩ, and R2 = 4.24 kΩ; what is the voltage on C1 at t=0? Please express your answer using one decimal place. ### Circuit Diagram Explanation The circuit diagram depicts a network consisting of the following components: - **Voltage Source (ε)**: Provides a constant voltage of 12 V. - **Resistors (R1 and R2)**: R1 has a resistance of 3.48 kΩ and R2 has a resistance of 4.24 kΩ. - **Capacitors (C1 and C2)**: C1 has a capacitance of 4 mF and C2 has a capacitance of 8 mF. - **Switches (S1 and S2)**: S1 is initially closed, while S2 is initially open. - **Connecting Nodes (a and b)**: These are points where multiple components meet and define potential differences. When S1 is closed and S2 is open, current flows through R1, charging C1 and C2. At t=0, S1 is opened, stopping current from the voltage source, and S2 is closed, allowing current and charge redistribution between the capacitors through R2. ### Answer: ```plaintext Answer: ``` Provide the calculated voltage on capacitor C1 at the instant t=0 based on the above conditions and component values.
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