equivalent capacitor

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Find the capacitance of the equivalent capacitor to the circuit of capacitors below between points A and B.
Assume that each capacitor has a capacitance of C.

The diagram depicts an electrical circuit comprising capacitors in series and parallel configurations.

**Components:**
- **Capacitors:** The diagram includes multiple capacitors, represented by pairs of parallel lines.
- **Points A and B:** These are the connection points for the circuit.

**Configuration:**
1. **Parallel Arrangement:**
   - Two capacitors are connected in parallel. This is shown as two horizontal pairs of parallel lines stacked, connecting to the same two vertical lines on either side.
   
2. **Series Arrangement:**
   - This setup is immediately followed by a capacitor connected in series with the parallel arrangement.
   - A single pair of parallel lines, aligned vertically, connects at points to the circuitry extending towards points A and B.

**Connections:**
- Starting from point A, the circuit connects to the first parallel arrangement of capacitors, then continues to the series capacitor, and finally extends to point B.

This arrangement is a common setup used to modify the total capacitance of the circuit. A parallel configuration increases the total capacitance, while a series configuration decreases it.
Transcribed Image Text:The diagram depicts an electrical circuit comprising capacitors in series and parallel configurations. **Components:** - **Capacitors:** The diagram includes multiple capacitors, represented by pairs of parallel lines. - **Points A and B:** These are the connection points for the circuit. **Configuration:** 1. **Parallel Arrangement:** - Two capacitors are connected in parallel. This is shown as two horizontal pairs of parallel lines stacked, connecting to the same two vertical lines on either side. 2. **Series Arrangement:** - This setup is immediately followed by a capacitor connected in series with the parallel arrangement. - A single pair of parallel lines, aligned vertically, connects at points to the circuitry extending towards points A and B. **Connections:** - Starting from point A, the circuit connects to the first parallel arrangement of capacitors, then continues to the series capacitor, and finally extends to point B. This arrangement is a common setup used to modify the total capacitance of the circuit. A parallel configuration increases the total capacitance, while a series configuration decreases it.
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