Can someone please check my signs on this Nodal Analysis

[naivy]

Homework Statement

Homework Equations

Nodal Analysis, KVL

The Attempt at a Solution

 

[rude man]

Your nodal equations are correct.

To check your work you should use some kind of math software. I use an old version of Derive. Nice thing about old versions of software is that they actually included a user manual you could read offline. Now everyhone seems to refuse to provide hardcopy user manuals (which is why I did not get a newer version of Derive myself).

 

[naivy]

Your nodal equations are correct.

To check your work you should use some kind of math software. I use an old version of Derive. Nice thing about old versions of software is that they actually included a user manual you could read offline. Now everyhone seems to refuse to provide hardcopy user manuals (which is why I did not get a newer version of Derive myself).

Thanks dude.

I think I'll check out Derive, but probably for the pset after this one. I'd rather work on this pset now rather than learn how to use Derive.

 

[rude man]

If you do get Derive, if you let me know I can show you in a minute how to solve simultaneous equations like the ones you have here. Especially if it's the old DOS version. Get that one if you can, it should come with a hardcopy user manual.
Send me a note if you want.

 

[DeeNos]

Nodal analysis is a powerful tool used in circuit analysis to determine the voltage and current at different nodes in a circuit. It is based on the principle of Kirchhoff's Current Law (KCL), which states that the sum of currents entering a node must be equal to the sum of currents leaving the node.

In order to use nodal analysis, you must first identify all the nodes in the circuit and label them with a reference number. Then, using KCL, you can write equations for each node, setting the sum of the currents entering the node equal to the sum of the currents leaving the node.

It is important to also take into account the direction of the currents and the polarity of the voltage sources in the circuit. This can be done by using Kirchhoff's Voltage Law (KVL), which states that the sum of voltage drops in a closed loop must be equal to the sum of voltage rises.

In your attempt at a solution, it would be helpful to include the circuit diagram and the equations you have written for each node. This will allow others to check your work and provide feedback. Additionally, double-check your signs to make sure they are consistent with the direction of the currents and the polarity of the voltage sources. Overall, nodal analysis is a useful technique for solving complex circuits, but it is important to be careful and thorough in your approach.