applying nodal analysis on this simple circuit

[PG1995]

Hi,

Almost all the details you will find in the given link below:
https://img171.imageshack.us/img171/9797/nodalysis1.jpg

You will find the expected (or, target answers) in the top right corner.

As you can see my value for V1 is wrong. It should have been 80V according to the answer given in the book. I have checked my equations several times but I found nothing wrong with them. Please help me with it. Many thanks for your help.

Cheers

 

[Ratchit]

PG1995,

Here are the equations and the solutions from an equation solver.

Ratch

 

[dougy83]

On the line beginning with 'At V2:', you have Ix=4Ix+I2 => 0=5Ix+I2, but you should be subtracting Ix from both sides to yield 0=3Ix+I2. I didn't read any further.

 

[PG1995]

Thanks a lot, Ratch. Could you please tell me which equation solver program you used? It would be kind of you.

Regards
PG

 

[Ratchit]

PG1995,

Thanks a lot, Ratch. Could you please tell me which equation solver program you used? It would be kind of you.

Forget it. You don't want to know. It costs big money. However, there are a lot of free equation solvers on the web. When you acquire Maple, you don't just get an application program. You get a weapons system. Maple 15

Ratch

 

[dougy83]

PG1995, you should probably practise your algebra anyway - fix up the error in your working I pointed out & see if you get any closer to the correct answer.

 

[dougy83]

That said, if you need to check your solutions, you can use wolframalpha to solve your symbolic simultaneous equations, e.g. click on this link: (a-b)/3 + (a-c)/2=10, (b-a)/3+b/4=4b/4, (c-a)/2+c/6=-b - Wolfram|Alpha

hey, it even accepts v1,v2,v3 as variables:
https://www.wolframalpha.com/input/...=10,+(v2-v1)/3+v2/4=4v2/4,+(v3-v1)/2+v3/6=-v2

 

[PG1995]

Thanks a lot, both of you.

My best wishes
PG