College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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My current answers are wrong. Please help, units need to be in C and V.
![---
### Capacitor Network Analysis
In this problem, we're analyzing a capacitor network where a potential difference of \( V = 106 \, \text{V} \) is applied across a combination of capacitors. The capacitors have the following capacitances:
- \( C_1 = 10.7 \, \mu\text{F} \)
- \( C_2 = 6.06 \, \mu\text{F} \)
- \( C_3 = 4.66 \, \mu\text{F} \)
The configuration of the capacitors in the circuit is shown in the accompanying diagram.
#### Problem Statement:
If capacitor \( C_3 \) undergoes electrical breakdown, becoming equivalent to a conducting wire, determine the following:
1. **Increase in the charge on capacitor 1** \( \Delta Q_{C_1} \)
2. **Potential difference across capacitor 1** \( V_{C_1} \)
**Diagram:**
The diagram shows:
- A potential difference (V) applied across the network.
- Capacitors \( C_1 \) and \( C_2 \) are connected in parallel with each other.
- Capacitor \( C_3 \) is shown in series with the parallel combination of \( C_1 \) and \( C_2 \).
**Solution:**
The given conditions result in the following calculations:
1. **Charge on Capacitor 1:**
\[
\Delta Q_{C_1} = 248.34 \times 10^{-6} \, \text{C}
\]
Units: Coulombs (C)
2. **Potential Difference Across Capacitor 1:**
\[
V_{C_1} = 23.21 \, \text{V}
\]
Units: Volts (V)
By breaking down the circuit and the problem statement, the changes and values can be systematically calculated.
---
This transcription approach clearly displays the problem and the solution, facilitating understanding for educational purposes.](https://content.bartleby.com/qna-images/question/b2582877-f8f8-44db-83ab-009b8ab7497d/bf29b2cf-36de-4aca-aa09-baf5739b077a/odpeoi9_processed.jpeg)
Transcribed Image Text:---
### Capacitor Network Analysis
In this problem, we're analyzing a capacitor network where a potential difference of \( V = 106 \, \text{V} \) is applied across a combination of capacitors. The capacitors have the following capacitances:
- \( C_1 = 10.7 \, \mu\text{F} \)
- \( C_2 = 6.06 \, \mu\text{F} \)
- \( C_3 = 4.66 \, \mu\text{F} \)
The configuration of the capacitors in the circuit is shown in the accompanying diagram.
#### Problem Statement:
If capacitor \( C_3 \) undergoes electrical breakdown, becoming equivalent to a conducting wire, determine the following:
1. **Increase in the charge on capacitor 1** \( \Delta Q_{C_1} \)
2. **Potential difference across capacitor 1** \( V_{C_1} \)
**Diagram:**
The diagram shows:
- A potential difference (V) applied across the network.
- Capacitors \( C_1 \) and \( C_2 \) are connected in parallel with each other.
- Capacitor \( C_3 \) is shown in series with the parallel combination of \( C_1 \) and \( C_2 \).
**Solution:**
The given conditions result in the following calculations:
1. **Charge on Capacitor 1:**
\[
\Delta Q_{C_1} = 248.34 \times 10^{-6} \, \text{C}
\]
Units: Coulombs (C)
2. **Potential Difference Across Capacitor 1:**
\[
V_{C_1} = 23.21 \, \text{V}
\]
Units: Volts (V)
By breaking down the circuit and the problem statement, the changes and values can be systematically calculated.
---
This transcription approach clearly displays the problem and the solution, facilitating understanding for educational purposes.
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