Find the current using Nodal Analysis

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SUMMARY

The discussion focuses on solving a circuit problem using Nodal Analysis to find the current (i). The user initially calculated node voltages V1, V2, and V3 as 16.67 V, 26.67 V, and 40 V, respectively, leading to an incorrect current of 2.667 A. The correct approach requires adjusting the first equation to V1 - V2 = 10 V, resulting in the accurate current value of 1.522 A. The discussion emphasizes the importance of correctly setting up node equations and the strategic use of supernodes in circuit analysis.

PREREQUISITES
  • Nodal Analysis in electrical engineering
  • Understanding of circuit components and Ohm's Law (V = I * R)
  • Knowledge of supernodes and their application in circuit analysis
  • Basic algebra for solving equations
NEXT STEPS
  • Review Nodal Analysis techniques in electrical circuits
  • Study the application of supernodes in complex circuit problems
  • Practice solving circuit problems using different node equations
  • Explore common mistakes in Nodal Analysis and how to avoid them
USEFUL FOR

Electrical engineering students, circuit designers, and anyone looking to improve their skills in circuit analysis and problem-solving using Nodal Analysis.

Fatima Hasan
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Homework Statement


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Find i using Nodal Analysis.

Homework Equations


V = I * R

The Attempt at a Solution


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solve (1) , (2) , and (3) to find V1 , V2 ,and V3
V1 = 50/3 = 16.67 V
V2 = 80/3 = 26.67 V
V3 = 40 V
40 - 80/3 = 5i
i = 2.667 A
However , the correct answer is 1.522 A .. I don't know where is my mistake.
 

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Your first equation should be V1-V2=10, since V1 is at a higher potential than V2.
Where does the first term in your first supernode equation come from?
Hint: Once you fix your first two node equations, you can use the ground node for the third equation.
 
Last edited:
Why did you choose to employ two supernodes when it would seem that a single one would suffice?
 

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