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assuming all three resistors are equal to 4.7 ohms, and Vs1 is changed to 21 volts and Vs2 is changed to 14 volts, use the nodal analysis approach to determine, I1, I2, I3, and Vr1, Vr2, and Vr3

assuming all three resistors are equal to 4.7 ohms, and Vs1 is changed to 21 volts and Vs2 is changed to 14 volts, use the nodal analysis approach to determine, I1, I2, I3, and Vr1, Vr2, and Vr3

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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assuming all three resistors are equal to 4.7 ohms, and Vs1 is changed to 21 volts and Vs2 is changed to 14 volts, use the nodal analysis approach to determine, I1, I2, I3, and Vr1, Vr2, and Vr3 

### Circuit Analysis Example This diagram represents a simple electrical circuit used for demonstrating node analysis. **Components of the Circuit:** 1. **Voltage Sources:** - \( V_{S1} = 15 \, \text{V} \) - \( V_{S2} = 12 \, \text{V} \) 2. **Resistors:** - \( R_1 = 10 \, \Omega \) - \( R_2 = 5 \, \Omega \) - \( R_3 = 1 \, \Omega \) **Nodes:** - There is a major node at which all three currents converge. - The reference node is marked at the bottom of the circuit. **Currents:** - \( I_1 \), flowing through \( R_1 \) - \( I_2 \), flowing through \( R_3 \) - \( I_3 \), flowing through \( R_2 \) **Equations Provided:** - \( I_1 \) is expressed as \( V_{R1} / R_1 \) - \( I_2 \) is expressed as \( V_{R3} / R_3 \) - \( I_3 \) is expressed as \( V_{R2} / R_2 \) **Explanation for Educational Purposes:** The figure illustrates a basic application of Ohm’s Law and node voltage analysis. Each resistor and its corresponding current can be calculated using the formulas provided. The node voltages can be determined by applying Kirchhoff’s current law (KCL) at the major node, which states that the sum of currents entering a node is equal to the sum of currents leaving the node. This is a foundational principle used in electrical engineering for analyzing circuit behaviors.
Transcribed Image Text:### Circuit Analysis Example This diagram represents a simple electrical circuit used for demonstrating node analysis. **Components of the Circuit:** 1. **Voltage Sources:** - \( V_{S1} = 15 \, \text{V} \) - \( V_{S2} = 12 \, \text{V} \) 2. **Resistors:** - \( R_1 = 10 \, \Omega \) - \( R_2 = 5 \, \Omega \) - \( R_3 = 1 \, \Omega \) **Nodes:** - There is a major node at which all three currents converge. - The reference node is marked at the bottom of the circuit. **Currents:** - \( I_1 \), flowing through \( R_1 \) - \( I_2 \), flowing through \( R_3 \) - \( I_3 \), flowing through \( R_2 \) **Equations Provided:** - \( I_1 \) is expressed as \( V_{R1} / R_1 \) - \( I_2 \) is expressed as \( V_{R3} / R_3 \) - \( I_3 \) is expressed as \( V_{R2} / R_2 \) **Explanation for Educational Purposes:** The figure illustrates a basic application of Ohm’s Law and node voltage analysis. Each resistor and its corresponding current can be calculated using the formulas provided. The node voltages can be determined by applying Kirchhoff’s current law (KCL) at the major node, which states that the sum of currents entering a node is equal to the sum of currents leaving the node. This is a foundational principle used in electrical engineering for analyzing circuit behaviors.
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