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If a wire of resistance R is cut into 'n' equal parts. All the parts are first connected in series and then in parallel. Calculate the ratio of series andparallel combination of the resistors |
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Answer» cut into n equal parts. Since all dimensions are same for pieces, Resistance of each WIRE is equal and has a value = R/n.Resistance is proportional to length of wire and INVERSELY proportional to area of cross-section. IF length is 1/nth, then Resistance is also 1/n TH of ORIGINAL value.When these five are connected in parallel COMBINATION, then net resistance becomes 1/nth again. So R1 = R/n * 1/n = R/n^2 |
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