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The Combined Resistance of Circuits in Series

المؤلف:  GEORGE A. HOADLEY

المصدر:  ESSENTIALS OF PHYSICS

الجزء والصفحة:  p-388

2025-12-11

475

The resistance of 100 feet of a given wire is twice the resistance of fifty feet of the same wire. This is evident when we consider the expression for the resistance of a wire     

Since the resistance is directly proportional to the length, the final resistance is the same whether the wire is all in one piece or in two pieces joined together end to end. When conductors are coupled in series (Fig. 1), each adds its own resistance, so that the combined resistance of circuits in series is R = r +r' + r" etc., in which r; r', and r" are the individual resistances of the circuits, that are joined in series.