Physics - Error Question with Solution | TestHub

Given that, $R=\frac{V}{I}$

According to error analysis

$$\begin{gathered} \frac{dR}{R}=\frac{dV}{V}+\frac{dI}{I} \\ \Rightarrow \frac{dR}{R}=\frac{5}{200}+\frac{0.2}{20} \\ \Rightarrow \frac{dR}{R}=\frac{7}{200} \end{gathered}$$

Thus, the percentage error can be calculated as follows:$$

$$\begin{gathered} \% \text{error} =\frac{dR}{R}\times 100 \\ =\frac{7}{200}\times 100 \\ =3.5\% \end{gathered}$$