If I were to just consider those 4 connections, wouldn't that mean the current would just be the minus of what I obtained in my solution? or should the values be the one posted using the MNA method?
So for Node 4 I am just essentially showing that the currents through the resistors entering the node is equal to the current found at the current source.
As for node 2, I am showing that the current at the battery leg connected to node 2 is equal to the currents through the resistors...
Thank you very much for your time and help!
Unfortunately I still have another question
"Using the voltages at each node calculate the current for nodes 2 & 4 and show Kirchhoff’s Current Law (KCL) holds for each of these nodes."
I think I am mostly having trouble interpreting this question...
I was using cramers rule. I did spot another error that I made. I forgot to multiply the 2 by 4 when trying to eliminate the denominators to form the matrice.
So anyways here are my new set of solutions which I believe look much better
V1= 7.14 or 50/7
V2= -4.857 or -34/7
V3= 4.734 or...
I am completely unsure on how I can find the current at node 2 and 4 and show KCL holds for each though...
Do I just find the nodal equation for node 2 and node 4 and find the current using the voltages that I have already derived earlier to find the total current in each node?
So I take the super node and consider it as a combined node consisting of node 1 and node 2?
Here is my new system of equations and the voltages I got from each node
I am unsure if it correct or not as the values I calculated for V3 do not seem to be very attractive.
Homework Statement
I have a circuit and I need to find the Nodal Equations that would mathematically describe the circuit, then proceed to finding the voltages at each node using Cramers rule and the currents at nodes 2 and 4. I don't think I would have much of a problem utilising Cramers...