a C HH 3.00 με th. |20.0 με HE HH 6.00 με (a) Find the equivalent capacitance between points a and b. HF (b) Calculate the charge on each capacitor, taking AV ab HC 20.0 μF capacitor 6.00 μF capacitor 3.00 μF capacitor capacitor C HC HC = 20.0 V.

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### Capacitor Network Analysis

The image depicts a circuit diagram consisting of four capacitors connected in various configurations. The capacitors have the following values:  

- Capacitor at the top: **C = 18.0 µF**
- Capacitor on the right: **20.0 µF**
- Capacitor at the bottom: **6.00 µF**
- Capacitor on the left: **3.00 µF**

### Diagram Overview

The capacitors are arranged in a rectangular format with points \( a \) and \( b \) marking the two terminals of interest. The 20.0 µF capacitor is connected in series with the 3.00 µF capacitor. Capacitor C (18.0 µF) and the 6.00 µF capacitor are connected in parallel with each other and to the series combination mentioned above between points \( a \) and \( b \). 

### Tasks:

(a) **Find the equivalent capacitance between points \( a \) and \( b \).**  
   - [  ] µF

(b) **Calculate the charge on each capacitor, taking \(\Delta V_{ab} = 20.0 \, \text{V}\).**

- **20.0 µF capacitor:**  
  - [  ] µC

- **6.00 µF capacitor:**  
  - [  ] µC

- **3.00 µF capacitor:**  
  - [  ] µC

- **Capacitor C (18.0 µF):**  
  - [  ] µC

This problem involves calculating the capacitance of a complex circuit and determining the charge stored on each capacitor given a voltage across the terminals. The analysis requires understanding how series and parallel connections affect overall capacitance and charge distribution.
Transcribed Image Text:### Capacitor Network Analysis The image depicts a circuit diagram consisting of four capacitors connected in various configurations. The capacitors have the following values: - Capacitor at the top: **C = 18.0 µF** - Capacitor on the right: **20.0 µF** - Capacitor at the bottom: **6.00 µF** - Capacitor on the left: **3.00 µF** ### Diagram Overview The capacitors are arranged in a rectangular format with points \( a \) and \( b \) marking the two terminals of interest. The 20.0 µF capacitor is connected in series with the 3.00 µF capacitor. Capacitor C (18.0 µF) and the 6.00 µF capacitor are connected in parallel with each other and to the series combination mentioned above between points \( a \) and \( b \). ### Tasks: (a) **Find the equivalent capacitance between points \( a \) and \( b \).** - [ ] µF (b) **Calculate the charge on each capacitor, taking \(\Delta V_{ab} = 20.0 \, \text{V}\).** - **20.0 µF capacitor:** - [ ] µC - **6.00 µF capacitor:** - [ ] µC - **3.00 µF capacitor:** - [ ] µC - **Capacitor C (18.0 µF):** - [ ] µC This problem involves calculating the capacitance of a complex circuit and determining the charge stored on each capacitor given a voltage across the terminals. The analysis requires understanding how series and parallel connections affect overall capacitance and charge distribution.
Expert Solution
Step 1

Given  C = 18 micro farad

           C1 =  3 micro farad

         C= 6 micro farad

 

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