Solving Complex Electrical Circuit: V1, V2, & V3

AI Thread Summary
The discussion focuses on solving a complex electrical circuit involving three voltages, V1, V2, and V3. The initial approach used two supernodes, but the user encountered issues due to neglecting the current from a specific branch. It was advised to include all nodes connected by voltage sources within a single supernode for a more accurate analysis. Following this guidance led to a successful resolution of the problem, resulting in the correct voltage values. The user expressed gratitude for the assistance received.
Berserk
Messages
10
Reaction score
0

Homework Statement


Screenshot_2015-02-01-18-18-54.png


Homework Equations

The Attempt at a Solution


I assumed there to be two supernodes. The first one was between V1 and V2. The second supernode was between V2 and V3.
IMG_20150201_184150[1].jpg

IMG_20150201_184221[1].jpg
IMG_20150201_185833[1].jpg
IMG_20150201_185857[1].jpg

This is what i tried and i am not getting the right answers. Please can someone help me out! Apologies for the turned pictures. The actual answers are V1 =7.608v , V2 =-17.39v , V3 = 1.6305v
 
Physics news on Phys.org
When you create a supernode you must consider all currents that enter and leave that supernode. In your first node equation you have ignored the current that must leave it via the 5i source branch. And there you have a problem because its a branch with a voltage source and no resistance.

Rather than defining two supernodes, which leads to the above issue, be sure to include in any supernode ALL of the nodes that are directly connected via voltage sources. If you can follow a path to a node that traverses only voltage sources, then it's part of the same supernode.

You will probably find the resulting node equation to be easier to solve :)
 
  • Like
Likes Berserk
I got the answer! I can't believe this... finally! :w Thanks a million! :D
 

Similar threads

Engineering Solve this Circuit using both Nodal Analysis and Mesh Analysis
Replies
15
Views
4K
Electric Circuit Analysis, Nodal Analysis and finding Voltage.
Replies
2
Views
2K
Super Node Analysis: Find V1,V2,V3,I1,I2,I3
Replies
4
Views
2K
Engineering Applying Kirchoff's Voltage Law to a circuit
Replies
3
Views
2K
Simple Nodal Analysis Problem Solution and Explanation
Replies
3
Views
2K
Engineering Nodal analysis of an AC circuit
Replies
4
Views
2K
Engineering Node Voltage Circuit Analysis: Solving for V1, V2, and V3
Replies
1
Views
2K
Solving Complex Circuits: Need Help With Current Direction
Replies
2
Views
2K
Engineering Create the Thevevenin equivalent circuit
Replies
12
Views
2K
Engineering AC Circuit Phasors: Find I1, I2, I3
Replies
26
Views
3K

Hot Threads

Recent Insights

Back
Top