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Circuit (Network) analysis is the process of finding the voltages across, and the currents through, every component in the network. Consider using in conjunction with tags for the particular analysis technique(s) in question: "nodal-analysis", "mesh-analysis", "superposition", etc.
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What is wrong about this application of Kirchhoffs Current Law?
Professor is wrong. The correct answer is 2A. I solved it algebraically just as every one else, 4=3+Ic+-1, Ic = 2. A DC simulation in Spice yields 2A as as well.