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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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Why must the voltage drop over resistors in parallel be the same?

Here's a more elementary explanation: In an ideal wire with 0 resistance, the electric potential is the same everywhere in the wire. In other words, the voltage between two parts of that wire is 0. T …
BlueRaja - Danny Pflughoeft's user avatar