Why does simplifying resistance networks give the right answer?
Answers
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Notice how the equivalent resistance of suppose a series or parallel connection of resistors were indeed derived from the same founding principles such as Kirchhoff’s Laws of Current and Voltage etc. They are in-turn based on fundamental laws such as the law of conservation of energy(for Kirchhoff’s Voltage Law) and the conservation of charge(Kirchhoff’s Current Law).
No matter what arrangement of resistors you have there will be some initial potential difference, V V across that connection and from that, there will flow/return a certain current, I I that will be consistent with the laws. Hence we can finally say that the equivalent resistance is the ratio of that potential difference to the current, so: R=VI So you may conclude that by definition it is the equivalent resistance.
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Explanation:
Calculating resistance in series and parallel resistor networks. ... Simplifying circuits for easier calculation. ... The total resistance of two or more resistors connected in series is given by simply adding the individual ...