Determining node voltage using Mesh Analysis and Thevenin's Theorem

[zeroktrian]

1. The problem statement, all variables and given/known data

Using mesh analysis work out the currents flow through each of the three meshes. From these current values calculate the voltage of node A, and node B with respect to the ground node.

Find equivalents of sub circuits A-G, B-G, A-B by applying Thevenin's theory. Then place these equivalents together and prove that the voltage at node A, and node B will be the same as in the previous problem.


2. Relevant equations

Kirchhoff's Current and Voltage Laws, Thevenin's laws.


3. The attempt at a solution

My attempt at the solution should be visible in the images I uploaded. The three current values I obtained through Mesh Analysis have been verified using the Circuit Wizard program. My only uncertainties are with regards to determining the voltages at node A and B with respect to the ground node.

I am not certain whether my method for their determination using the currents from the Mesh Analysis are correct. Also, with their verification using Thevenin's theorem, I am not certain about how exactly to figure out the node voltages using the theorem.

If anyone could guide me in the right direction I would be most appreciative.

Thanks.
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution

[acurabot]

hey dude, im also doing 103. What you need to do is find the thevenin equivalent current for ur Thevenin circuit. After you've done that, set a current flow direction i.e clockwise. To find V(a) and V(b) you then need to do KVL until u get to nodes A or B. Note that if you go against the current direction, your current value will have to be a negative. Hope i helped and hope its not too late. Good Luck.