R1=1 kN R3=1 kN Vs=9 V R2=1 kN Y

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Find the Thevenin equivalent between X and Y

### Electrical Circuit Analysis

#### Schematic Diagram Description

The schematic diagram presented here is a basic electrical circuit, which includes the following components:

1. **Voltage Source (V\(_S\)):** 
   - \(V_S = 9 \text{ V}\)
   - This represents an ideal DC voltage source providing 9 volts.

2. **Resistors (R\(_1\), R\(_2\), and R\(_3\)):**
   - \(R_1 = 1 \text{ k}\Omega\) (Kiloohms) 
   - \(R_2 = 1 \text{ k}\Omega\)
   - \(R_3 = 1 \text{ k}\Omega\)
   - These resistors are essential in controlling the current flow and creating voltage drops within the circuit.

3. **Ground:**
   - Indicated with a standard ground symbol, it serves as a common return path for electric current.

4. **Nodes X and Y:**
   - These nodes represent points in the circuit where the voltage can be measured.

#### Detailed Circuit Description

- **Voltage Source and \(R_1\):**
  - The voltage source \(V_S\) is connected at one terminal to ground and at the other terminal to \(R_1\).

- **Series-Parallel Configuration:**
  - \(R_1\) connects in series to the parallel combination of \(R_2\) and \(R_3\).
  - The top node of \(R_2\) and \(R_3\) is connected together at one end, while their other ends connect to \(R_1\) and ground respectively.

- **Voltage Measurement Points X and Y:**
  - Node X is located at the junction of \(R_1\) and \(R_3\).
  - Node Y is the common ground point.

#### Analytical Explanation:

- **Current and Voltage Calculation:**
  - Begin by calculating the total resistance in both series and parallel sections of the circuit.
  
- **Total Resistance Calculation:**
  - \(R_3\) and \(R_2\) are in series:
    \[ R_{23} = R_2 + R_3 = 1\text{k}\Omega + 1\text{k}\Omega = 2\text{k}\Omega \]

  - \(R_1\)
Transcribed Image Text:### Electrical Circuit Analysis #### Schematic Diagram Description The schematic diagram presented here is a basic electrical circuit, which includes the following components: 1. **Voltage Source (V\(_S\)):** - \(V_S = 9 \text{ V}\) - This represents an ideal DC voltage source providing 9 volts. 2. **Resistors (R\(_1\), R\(_2\), and R\(_3\)):** - \(R_1 = 1 \text{ k}\Omega\) (Kiloohms) - \(R_2 = 1 \text{ k}\Omega\) - \(R_3 = 1 \text{ k}\Omega\) - These resistors are essential in controlling the current flow and creating voltage drops within the circuit. 3. **Ground:** - Indicated with a standard ground symbol, it serves as a common return path for electric current. 4. **Nodes X and Y:** - These nodes represent points in the circuit where the voltage can be measured. #### Detailed Circuit Description - **Voltage Source and \(R_1\):** - The voltage source \(V_S\) is connected at one terminal to ground and at the other terminal to \(R_1\). - **Series-Parallel Configuration:** - \(R_1\) connects in series to the parallel combination of \(R_2\) and \(R_3\). - The top node of \(R_2\) and \(R_3\) is connected together at one end, while their other ends connect to \(R_1\) and ground respectively. - **Voltage Measurement Points X and Y:** - Node X is located at the junction of \(R_1\) and \(R_3\). - Node Y is the common ground point. #### Analytical Explanation: - **Current and Voltage Calculation:** - Begin by calculating the total resistance in both series and parallel sections of the circuit. - **Total Resistance Calculation:** - \(R_3\) and \(R_2\) are in series: \[ R_{23} = R_2 + R_3 = 1\text{k}\Omega + 1\text{k}\Omega = 2\text{k}\Omega \] - \(R_1\)
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