Nodal analysis with 2 voltage sources

AI Thread Summary
The discussion focuses on solving a circuit with two voltage sources using nodal analysis and supernodes. Participants express uncertainty about identifying the supernodes and the reference node, with one suggesting the reference node might be under a 3-ohm resistor. A solution approach is proposed using superposition, where one voltage source is short-circuited to analyze the circuit's response to the other source. The final results for current and voltage can be obtained by summing the individual contributions from each source. The conversation highlights the collaborative effort to tackle complex circuit analysis problems.
adashiu
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Can someone solve this circuit

d4bb9489359f3f85.jpg


Find v and i in the circuit.

I know that we have to make somethng with supernode, but where the supernode is here? How to develop this problem? Please help me :)

Btw it is nice forum, today i have found that. I hope I will be able to help you in other engeenering topics. Greets

My attempts:

Im not sure, but I think that reference node will be that under 3 ohm resistor ( ? ) I have no idea how to cope with a problem of 2 supernodes in this circuits ( If I am right, that there are 2 supernodes). Actually I am green... :cry:
 
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You can solve it by using superposition. Substitute one of the sources by a short circuit and solve for the other source. You find i1 and v1.
Then solve for the second source, with the first one short-circuited. You find i2 and v2.
Your solution is i = i1 + i2; v = v1 + v2.
 

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