College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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**Problem 2: Capacitor Network Analysis**

A battery is connected to the network of three capacitors as shown in the accompanying figure. The battery voltage is ε = 2 V. The capacitors have the following capacitances: C₁ = 12 F, C₂ = 4 F, and C₃ = 9 F.

For this setup, find the following:

a) **Equivalent Capacitance of the Network:**
   - Calculate the total equivalent capacitance for the given arrangement of capacitors.

b) **Charge and Potential Difference:**
   - Determine the charge on each capacitor.
   - Find the potential difference across each capacitor.

c) **Energy Stored in Capacitor C₁:**
   - Calculate the energy stored in capacitor C₁.

**Diagram Explanation:**

The figure illustrates a circuit with a battery and three capacitors. Capacitor C₁ is connected in series with a parallel combination of C₂ and C₃. The arrangement is as follows:

- A voltage source (ε) is connected in series with C₁.
- Capacitor C₁ is in series with a branch containing C₂ and C₃ in parallel. 

This setup requires analysis to solve for the total capacitance, charges, potential differences, and energy storage.
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Transcribed Image Text:**Problem 2: Capacitor Network Analysis** A battery is connected to the network of three capacitors as shown in the accompanying figure. The battery voltage is ε = 2 V. The capacitors have the following capacitances: C₁ = 12 F, C₂ = 4 F, and C₃ = 9 F. For this setup, find the following: a) **Equivalent Capacitance of the Network:** - Calculate the total equivalent capacitance for the given arrangement of capacitors. b) **Charge and Potential Difference:** - Determine the charge on each capacitor. - Find the potential difference across each capacitor. c) **Energy Stored in Capacitor C₁:** - Calculate the energy stored in capacitor C₁. **Diagram Explanation:** The figure illustrates a circuit with a battery and three capacitors. Capacitor C₁ is connected in series with a parallel combination of C₂ and C₃. The arrangement is as follows: - A voltage source (ε) is connected in series with C₁. - Capacitor C₁ is in series with a branch containing C₂ and C₃ in parallel. This setup requires analysis to solve for the total capacitance, charges, potential differences, and energy storage.
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