The resistance R = V / I where V = (100 pm 5) | vedclass

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(A) Given $V = 100 \; V$ and $\Delta V = 5 \; V$. The percentage error in $V$ is $(\Delta V / V) 	imes 100 = (5 / 100) 	imes 100 = 5 \%$.Given $I =

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$7$

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(A) Given $V = 100 \; V$ and $\Delta V = 5 \; V$. The percentage error in $V$ is $(\Delta V / V) 	imes 100 = (5 / 100) 	imes 100 = 5 \%$.Given $I = 10 \; A$ and $\Delta I = 0.2 \; A$. The percentage error in $I$ is $(\Delta I / I) 	imes 100 = (0.2 / 10) 	imes 100 = 2 \%$.Since $R = V / I$,the relative error in $R$ is given by $\Delta R / R = \Delta V / V + \Delta I / I$.Therefore,the percentage error in $R$ is $5 \% + 2 \% = 7 \%$.

The resistance $R = V / I$ where $V = (100 \pm 5) \; V$ and $I = (10 \pm 0.2) \; A$. Find the percentage error in $R$. (in $\%$)

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