In the circuit in the figure C1=1MF, C2= 3MF, C3= 8 MF, C4= 5MF, C5=2MF. (a). Calculate the capacitance between A and B. (b) Calcuate the potential differeance for each capacitor if power supply with V= 50V is connected between A and B.
In the circuit in the figure C1=1MF, C2= 3MF, C3= 8 MF, C4= 5MF, C5=2MF. (a). Calculate the capacitance between A and B. (b) Calcuate the potential differeance for each capacitor if power supply with V= 50V is connected between A and B.
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In the circuit in the figure C1=1MF, C2= 3MF, C3= 8 MF, C4= 5MF, C5=2MF. (a). Calculate the capacitance between A and B. (b) Calcuate the potential differeance for each capacitor if power supply with V= 50V is connected between A and B.
![### Electrical Circuit Diagram: Capacitors in Series and Parallel
This diagram illustrates an electrical circuit featuring capacitors configured in both series and parallel arrangements.
- **Capacitors**: The circuit comprises five capacitors, labeled \(C_1\), \(C_2\), \(C_3\), \(C_4\), and \(C_5\).
- **Nodes**: The circuit has two main nodes, labeled \(A\) and \(B\).
- **Configuration**:
- **C_1, C_2, C_4, and C_5**: Capacitors \(C_1\) and \(C_5\) are placed in series with each other along the top path, while capacitors \(C_2\) and \(C_4\) are in series with each other along the bottom path.
- **C_3**: Positioned in parallel between the midpoints of the \(C_1-C_5\) and \(C_2-C_4\) series combinations.
### Analysis:
1. **Series Configuration:**
- Capacitors in a series have a combined capacitance \(C_{total}\) given by:
\[
\frac{1}{C_{total\_series}} = \frac{1}{C_1} + \frac{1}{C_5}
\]
\[
\frac{1}{C_{total\_series}} = \frac{1}{C_2} + \frac{1}{C_4}
\]
2. **Parallel Configuration:**
- The combined capacitance of capacitors in parallel is the sum of their individual capacitances:
\[
C_{total\_parallel} = C_{total\_series} + C_3 + C_{total\_series}
\]
This configuration can be analyzed to determine the overall equivalent capacitance between points \(A\) and \(B\). Understanding this concept is essential for solving complex circuitry problems involving capacitors.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2310cfd-2850-4e63-bb0e-d2d4ff66fc6a%2Fc8fe6515-1962-4d74-abb3-e13c85b0266d%2Feg2wxto_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Electrical Circuit Diagram: Capacitors in Series and Parallel
This diagram illustrates an electrical circuit featuring capacitors configured in both series and parallel arrangements.
- **Capacitors**: The circuit comprises five capacitors, labeled \(C_1\), \(C_2\), \(C_3\), \(C_4\), and \(C_5\).
- **Nodes**: The circuit has two main nodes, labeled \(A\) and \(B\).
- **Configuration**:
- **C_1, C_2, C_4, and C_5**: Capacitors \(C_1\) and \(C_5\) are placed in series with each other along the top path, while capacitors \(C_2\) and \(C_4\) are in series with each other along the bottom path.
- **C_3**: Positioned in parallel between the midpoints of the \(C_1-C_5\) and \(C_2-C_4\) series combinations.
### Analysis:
1. **Series Configuration:**
- Capacitors in a series have a combined capacitance \(C_{total}\) given by:
\[
\frac{1}{C_{total\_series}} = \frac{1}{C_1} + \frac{1}{C_5}
\]
\[
\frac{1}{C_{total\_series}} = \frac{1}{C_2} + \frac{1}{C_4}
\]
2. **Parallel Configuration:**
- The combined capacitance of capacitors in parallel is the sum of their individual capacitances:
\[
C_{total\_parallel} = C_{total\_series} + C_3 + C_{total\_series}
\]
This configuration can be analyzed to determine the overall equivalent capacitance between points \(A\) and \(B\). Understanding this concept is essential for solving complex circuitry problems involving capacitors.
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