B D 0... XMM1 R1 www 1kQ J1 Key - Space VA 12V R15 www 1kQ R2 ww 1kQ R3 www 1kQ R4 www 1kQ R14 www 1kQ R5 1kQ R11 ww 1kQ R12 w 1kQ R13 ww 1kQ R7 w 1kQ R6 1kQ R10 1kQ R8 w 1kQ R9 1kQ Multimeter-XMM1 + • A 6.733 kOhm V S2 Set... dB X

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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I am supposed to calculate total resistance in the attached series/parallel circuit. I also attached my work, but the answer i got wasnt was the dmm said. Where in the process did i go wrong and how do i correctly solve.

**Title: Understanding a MultiSIM Circuit Design**

**Image Description:**

The image displays a circuit design schematic using the MultiSIM software. This educational circuit consists of multiple resistors, a voltage source, and a multimeter. It demonstrates how to measure total resistance in a complex network.

**Circuit Components:**

1. **Voltage Source (VA):** 
   - Labeled as "VA 12V", providing a 12-volt power supply to the circuit.

2. **Resistors:**
   - The circuit includes multiple resistors labeled R1 to R15.
   - Each resistor has a resistance of 1kΩ (1000 ohms).
   - The resistors are arranged in a mixed series and parallel configuration.

3. **Multimeter (XMM1):**
   - Used to measure the total resistance of the circuit.
   - Display shows a reading of 6.733 kΩ, indicating the total equivalent resistance.

4. **Switch (J1):**
   - Labeled as "Key = Space", indicating the switch operation.
   - Allows simulation of opening and closing the circuit.

**Circuit Topology:**

- The resistors are interconnected, both in series and parallel paths, providing a complex network.
- Understanding the equivalent resistance requires analyzing combinations of series and parallel resistor formulas:
  - **Series:** \( R_{\text{total}} = R_1 + R_2 + \cdots + R_n \)
  - **Parallel:** \( \frac{1}{R_{\text{total}}} = \frac{1}{R_1} + \frac{1}{R_2} + \cdots + \frac{1}{R_n} \)

**Multimeter Reading Explanation:**

- The multimeter measures and displays the equivalent resistance as 6.733 kΩ.
- This value is derived from calculating the combined resistance of the resistors in their given configuration.

**Software Interface:**

- The schematic editor features tools and options typical of MultiSIM software for simulation and analysis.
- Menus and toolbars provide functionalities such as simulation control, measurement settings, and circuit editing.

This educational example aids in understanding electronic circuit analysis, highlighting the role of equivalent resistance in complex circuits using simulation tools.
Transcribed Image Text:**Title: Understanding a MultiSIM Circuit Design** **Image Description:** The image displays a circuit design schematic using the MultiSIM software. This educational circuit consists of multiple resistors, a voltage source, and a multimeter. It demonstrates how to measure total resistance in a complex network. **Circuit Components:** 1. **Voltage Source (VA):** - Labeled as "VA 12V", providing a 12-volt power supply to the circuit. 2. **Resistors:** - The circuit includes multiple resistors labeled R1 to R15. - Each resistor has a resistance of 1kΩ (1000 ohms). - The resistors are arranged in a mixed series and parallel configuration. 3. **Multimeter (XMM1):** - Used to measure the total resistance of the circuit. - Display shows a reading of 6.733 kΩ, indicating the total equivalent resistance. 4. **Switch (J1):** - Labeled as "Key = Space", indicating the switch operation. - Allows simulation of opening and closing the circuit. **Circuit Topology:** - The resistors are interconnected, both in series and parallel paths, providing a complex network. - Understanding the equivalent resistance requires analyzing combinations of series and parallel resistor formulas: - **Series:** \( R_{\text{total}} = R_1 + R_2 + \cdots + R_n \) - **Parallel:** \( \frac{1}{R_{\text{total}}} = \frac{1}{R_1} + \frac{1}{R_2} + \cdots + \frac{1}{R_n} \) **Multimeter Reading Explanation:** - The multimeter measures and displays the equivalent resistance as 6.733 kΩ. - This value is derived from calculating the combined resistance of the resistors in their given configuration. **Software Interface:** - The schematic editor features tools and options typical of MultiSIM software for simulation and analysis. - Menus and toolbars provide functionalities such as simulation control, measurement settings, and circuit editing. This educational example aids in understanding electronic circuit analysis, highlighting the role of equivalent resistance in complex circuits using simulation tools.
The image shows a series of calculations for combining resistors, likely in a complex circuit. These calculations utilize the rules for adding resistances in series and parallel.

**Transcription:**

- \( R_1 + (R_2 \parallel (R_3 + R_4)) + R_5 + (R_6 \parallel (R_7 + R_8)) \)

  - \( 1k + (1k \parallel 2k) + 1k + (1k \parallel 2k) \)
  
  - The parallel combinations both equate to 1666.7 ohms.

- Further calculations continue with:
  
  - \( + R_9 + R_{10} + (R_{11} \parallel R_{12} \parallel (R_{13} + R_{14})) + R_{15} \)
  
  - \( 1k + 1k + (1666.7 \parallel 1666.7) + 1k \)

  - This parallel combination resolves to 833.3 ohms.

**Diagram Explanation:**

1. **Parallel and Series Notations:**
   - The use of \(\parallel\) indicates parallel resistor combinations.
   - The regular addition symbol (+) is used for series combinations.

2. **Values:**
   - Each resistor is represented with values in kilo-ohms (k).
   - Specific total resistance values for combinations provided (1666.7 for initial parallel sections, and 833.3 for later ones).

By following these calculations, the total resistance within this complex circuit can be deduced step by step. The result constructs an overall understanding of how resistors in configurations can be visualized algebraically.
Transcribed Image Text:The image shows a series of calculations for combining resistors, likely in a complex circuit. These calculations utilize the rules for adding resistances in series and parallel. **Transcription:** - \( R_1 + (R_2 \parallel (R_3 + R_4)) + R_5 + (R_6 \parallel (R_7 + R_8)) \) - \( 1k + (1k \parallel 2k) + 1k + (1k \parallel 2k) \) - The parallel combinations both equate to 1666.7 ohms. - Further calculations continue with: - \( + R_9 + R_{10} + (R_{11} \parallel R_{12} \parallel (R_{13} + R_{14})) + R_{15} \) - \( 1k + 1k + (1666.7 \parallel 1666.7) + 1k \) - This parallel combination resolves to 833.3 ohms. **Diagram Explanation:** 1. **Parallel and Series Notations:** - The use of \(\parallel\) indicates parallel resistor combinations. - The regular addition symbol (+) is used for series combinations. 2. **Values:** - Each resistor is represented with values in kilo-ohms (k). - Specific total resistance values for combinations provided (1666.7 for initial parallel sections, and 833.3 for later ones). By following these calculations, the total resistance within this complex circuit can be deduced step by step. The result constructs an overall understanding of how resistors in configurations can be visualized algebraically.
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