Using Nodal Analysis to determine current in a resistor

Click For Summary
SUMMARY

The discussion focuses on using Nodal Analysis to determine current in a resistor circuit, specifically addressing the challenges faced by a student when attempting to eliminate current variables in their equations. The student initially set the bottom node as the reference node and derived three equations for the loop but encountered difficulties when trying to eliminate current variables such as ##I_4## using the relationship ##I_4 = I_2 - I_3##. The correct approach emphasizes writing node equations based solely on node potentials rather than current variables, aligning with the principles of Nodal Analysis.

PREREQUISITES
  • Understanding of Ohm's Law (V = IR)
  • Familiarity with Kirchhoff's Current Law (KCL)
  • Basic knowledge of Nodal Analysis techniques
  • Ability to manipulate simultaneous equations
NEXT STEPS
  • Study the principles of Nodal Analysis in electrical circuits
  • Learn how to formulate node equations using node potentials
  • Explore examples of solving circuits using Nodal Analysis
  • Review techniques for manipulating simultaneous equations in circuit analysis
USEFUL FOR

Students learning circuit analysis, electrical engineers, and anyone interested in mastering Nodal Analysis for solving resistor circuits.

TheBigDig
Messages
65
Reaction score
2

Homework Statement


df7deebdc77d83207d324a5b4bd92cd1.png


Homework Equations


##V = IR##
##\sum_{k = 0}^{n} I_k = 0##

The Attempt at a Solution


37cfedb9d46ed11d8f7bb0b74dbc427b.png
[/B]
I set the bottom node as the reference node and worked from there to find the three equations for the loop. When I try to eliminate ##I_4## by using ##I_4 = I_2 - I_3## I run into a problem were both ##I_2## and ##I_3## scale equally are both eliminated from the simultaneous equation. I tried manipulating ##I_1## to solve it but got the wrong answer. Any help would be appreciated as I am new to nodal analysis.
 
Physics news on Phys.org
You're doing loop analysis (KVL) but they want you to use nodal or source transforms.

Can you write node equations using the given component values? The only variables you should introduce are the node potentials. No current variables!
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
Replies
15
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 15 ·
Replies
15
Views
4K
Replies
14
Views
3K