calculate all the voltages and currents for each resistor.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Only use Mesh Theory (simultaneous equations) to calculate all the voltages and currents for each resistor.
### Electric Circuit Analysis

#### Circuit Diagram:
The diagram depicts an electric circuit with three voltage sources (VS1, VS2, and VS3) and four resistors (R1, R2, R3, and R4) connected in a specific configuration.

- **Voltage Source VS1:** 12V
- **Voltage Source VS2:** 10V
- **Voltage Source VS3:** 12V
- **Resistor R1:** 1Ω
- **Resistor R2:** 2Ω
- **Resistor R3:** 0.5Ω
- **Resistor R4:** 6Ω

#### Detailed Description:
1. **Voltage Source VS1** is connected in series with **Resistor R1** (1Ω).
2. This series combination is connected to a node that branches into two paths:
   - The first path includes **Resistor R2** (2Ω) connected to **Voltage Source VS2** (10V).
   - The second path has **Resistor R3** (0.5Ω) connected in parallel with **Voltage Source VS3** (12V), forming another branch that finally connects to **Resistor R4** (6Ω).

#### Data Table for Resistors:

| Device | Resistor | Voltage | Current |
|--------|----------|---------|---------|
| R1     | 1Ω       |         |         |
| R2     | 2Ω       |         |         |
| R3     | 0.5Ω     |         |         |
| R4     | 6Ω       |         |         |

This table provides a framework to input the calculated voltage across each resistor and the current flowing through each, essential for analyzing the circuit's behavior.

#### Notes:
- The given values for each resistor indicate their resistance.
- Values for voltage and current are to be calculated based on the circuit analysis.
- The combination of series and parallel circuits requires the use of Kirchhoff's Voltage Law (KVL) and Kirchhoff's Current Law (KCL) for analysis.

This circuit serves as an essential exercise to understand the principles of electrical circuits, including voltage drops, current flow, and the impact of multiple voltage sources.
Transcribed Image Text:### Electric Circuit Analysis #### Circuit Diagram: The diagram depicts an electric circuit with three voltage sources (VS1, VS2, and VS3) and four resistors (R1, R2, R3, and R4) connected in a specific configuration. - **Voltage Source VS1:** 12V - **Voltage Source VS2:** 10V - **Voltage Source VS3:** 12V - **Resistor R1:** 1Ω - **Resistor R2:** 2Ω - **Resistor R3:** 0.5Ω - **Resistor R4:** 6Ω #### Detailed Description: 1. **Voltage Source VS1** is connected in series with **Resistor R1** (1Ω). 2. This series combination is connected to a node that branches into two paths: - The first path includes **Resistor R2** (2Ω) connected to **Voltage Source VS2** (10V). - The second path has **Resistor R3** (0.5Ω) connected in parallel with **Voltage Source VS3** (12V), forming another branch that finally connects to **Resistor R4** (6Ω). #### Data Table for Resistors: | Device | Resistor | Voltage | Current | |--------|----------|---------|---------| | R1 | 1Ω | | | | R2 | 2Ω | | | | R3 | 0.5Ω | | | | R4 | 6Ω | | | This table provides a framework to input the calculated voltage across each resistor and the current flowing through each, essential for analyzing the circuit's behavior. #### Notes: - The given values for each resistor indicate their resistance. - Values for voltage and current are to be calculated based on the circuit analysis. - The combination of series and parallel circuits requires the use of Kirchhoff's Voltage Law (KVL) and Kirchhoff's Current Law (KCL) for analysis. This circuit serves as an essential exercise to understand the principles of electrical circuits, including voltage drops, current flow, and the impact of multiple voltage sources.
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