In the figure the battery has potential difference V = 14.0 V, C2 = 3.20 μF, C4 = 4.60 μF, and all the capacitors are initially uncharged. When switch S is closed, a total charge of 11.0 μC passes through point a and a total charge of 6.00 μC passes through point b. What are (a) C1 and (b) C3?

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In the figure the battery has potential difference V = 14.0 V, C2 = 3.20 μF, C4 = 4.60 μF, and all the capacitors are initially uncharged. When switch S is closed, a total charge of 11.0 μC passes through point a and a total charge of 6.00 μC passes through point b. What are (a) C1 and (b) C3?

The image depicts an electrical circuit diagram featuring capacitors. The key components are:

1. **Voltage Source (V)**: Provides the electrical potential difference in the circuit.

2. **Switch (S)**: Controls the flow of current in the circuit. When closed, it allows current to flow.

3. **Capacitors**:
   - **C1 and C2**: These are in series. When capacitors are connected in series, the total capacitance is less than that of the smallest individual capacitor.
   - **C3 and C4**: These are in parallel to each other. Capacitors in parallel have a cumulative effect, and their capacitances add up.

4. **Nodes (a and b)**: Points in the circuit where currents can split or merge. Node 'a' separates the series capacitors from the parallel capacitors, while node 'b' connects to the parallel capacitors.

This configuration demonstrates combined series and parallel arrangements, which are commonly analyzed to understand the equivalent capacitance and behavior of the circuit under different conditions.
Transcribed Image Text:The image depicts an electrical circuit diagram featuring capacitors. The key components are: 1. **Voltage Source (V)**: Provides the electrical potential difference in the circuit. 2. **Switch (S)**: Controls the flow of current in the circuit. When closed, it allows current to flow. 3. **Capacitors**: - **C1 and C2**: These are in series. When capacitors are connected in series, the total capacitance is less than that of the smallest individual capacitor. - **C3 and C4**: These are in parallel to each other. Capacitors in parallel have a cumulative effect, and their capacitances add up. 4. **Nodes (a and b)**: Points in the circuit where currents can split or merge. Node 'a' separates the series capacitors from the parallel capacitors, while node 'b' connects to the parallel capacitors. This configuration demonstrates combined series and parallel arrangements, which are commonly analyzed to understand the equivalent capacitance and behavior of the circuit under different conditions.
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