The resistance of two resistance wires are R1=(100 ±5) Ωand R2=(200 ±7) Ωare connected in series

step 1 Okay, the question is the resistance of two resistor is given as R1 is equal to hundred plus min

The resistance of two resistance wires are R1=(100 ±5) Ωand...

The resistance of two resistance wires are $R_{1}=(100 \pm 5) \Omega$ and $\mathrm{R}_{2}=(200 \pm 7) \Omega$ are connected in series. find the maximum absolute error in the equivalent resistance of the combination.
(a) $35 \Omega$
(b) $12 \Omega$
(c) $4 \Omega$
(d) $9 \Omega$

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Key Concepts

Absolute Uncertainty

Absolute uncertainty refers to the margin of error in a measurement expressed in the same units as the measurement itself. It indicates the range within which the true value is expected to lie and is crucial in experimental sciences to quantify the reliability of measurement results.

Error Propagation

Error propagation is the method used to determine the uncertainty of a calculated result based on the uncertainties of the individual measurements that contribute to it. In the case of series resistances, the total uncertainty is the sum of the absolute uncertainties of each resistor because their errors add directly due to the linear relationship in the addition of resistances.

Series Circuit

In a series circuit, the total resistance is the sum of the individual resistances. This concept is fundamental in circuit analysis as it allows for the simplification of multiple components into a single equivalent resistance, which makes calculations easier and helps in understanding how voltage divides across components.

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