
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Transcribed Image Text:**Title: Circuit Analysis Using Loop Analysis Method**
**Objective:**
Determine the voltages \( V_1 \), \( V_2 \), \( V_3 \), and \( V_4 \) for the given electrical circuit using loop analysis.
**Circuit Description:**
The provided circuit contains several components arranged in a loop format, suitable for loop or mesh analysis.
**Components:**
- **Current Sources:**
- \( I_1 = 0.5 \, \text{Adc} \)
- \( I_2 = 0.25 \, \text{Adc} \)
- **Resistors:**
- \( R_1 = 330 \, \Omega \)
- \( R_2 = 1.5 \, \text{k}\Omega \)
- \( R_3 = 1.2 \, \text{k}\Omega \)
- \( R_4 = 2.5 \, \text{k}\Omega \)
- \( R_5 = 2 \, \text{k}\Omega \)
- \( R_6 = 3 \, \text{k}\Omega \)
- \( R_7 = 500 \, \Omega \)
**Nodes and Voltage Points:**
- \( V_D \)
- \( V_C \)
- \( V_B \)
- \( V_A \)
**Diagram Explanation:**
- The circuit diagram shows connections among resistors and current sources, forming closed loops.
- Each loop can be analyzed to determine the voltage drops across various components using Kirchhoff's Voltage Law (KVL).
**Analysis Method:**
1. **Identify independent loops** in the circuit.
2. Apply **Kirchhoff’s Voltage Law (KVL)** to each loop, summing voltages to equate to zero.
3. Solve the system of equations resulting from KVL application to find unknown voltages across the components.
**Calculations:**
Use Ohm’s Law (\( V = IR \)) in conjunction with KVL to solve for individual voltages \( V_1 \), \( V_2 \), \( V_3 \), and \( V_4 \) in the circuit loops.
By properly setting up and solving the equations derived from each loop, the voltages at points \( V_A \), \( V_B \), \( V_C \), and \( V_D \) can
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