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Multiplication & Division of Errors

Given R1=5....

Question

Given $R_{1} = 5.0 \pm 0.2 Ω$ and $R_{2} = 10.0 \pm 0.1 Ω$ . What is the total resistance in parallel with possible $%$ error?

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Solution

$\begin{matrix} R_{1} = 5.0 \pm 0.2 Ω R_{2} = 10.0 \pm 0.1 Ω R_{e q} = \frac{R_{1} R_{2}}{R_{1} + R_{2}} = \frac{10 \times 5}{15} = \frac{10}{5} Ω H e n c e, R_{e q} = 3.33 \pm 0.3 Ω \end{matrix}$

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