Solving Circuit Analysis with Nodal Analysis - Help Needed!

[mralam]

Hey guys. I have attached a circuit that i am trying to analyse using nodal analysis.
This is how i am doing it:

at node 2:
(v2-v1)/1 + v2/4 + (v2-v3)/1 = 0

at node 3:

(v3-v2)/1 + v3/2 = 4A

at node 1:

v1/25 = 2A

but i am not getting the right results for v1, v2 and v3.

Can anyone point out what i am doing wrong?

thanks

 

[waht]

Looks like you are given conductance of the resistors rather the resistance in ohms.

 

[mralam]

i have asked about that and it is suppose to be ohm not s

 

[eetwonder]

If your node 3 is at v_3, then where 3i_0 is in the equation?For the node 3, I would write the equation like 3i_0+4A=(v_3-v_2/1s)+v_3/2s. I think you may have missed the 3i_0 in your equation.

 

[DeeNos]

As a fellow scientist, I would suggest checking your calculations and making sure you have correctly applied Kirchhoff's Current Law and Kirchhoff's Voltage Law at each node. It is also important to double check your units and make sure they are consistent throughout the equations. If you are still having trouble, try using a different method such as mesh analysis to verify your results. Additionally, you may want to consult with a colleague or a textbook to see if there are any mistakes in your approach. Keep in mind that circuit analysis can be complex and it may take some trial and error to get the correct results. Don't get discouraged and keep practicing!