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Node-Voltage Method to Solve the Circuit

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Problem 6.2 only
See attached file for full problem description.

In the following circuit, the nodes have been labeled for you and a reference node has been selected.
a) Use the node-voltage method to derive a set of linear equations that could be used to solve for the unknown node voltages va, vb, and bc in the above figure.
Collect you equations into a matrix equation of form Ax = b.
b) Solve the equations to obtain node voltages.
c) Determine the current i1.

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It applies node-voltage method for the circuit analysis. The solution is detailed and was rated '5/5' by the student who posted the question originally.

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