The resistance $R =\frac{V}{I}$ where $V= 100 \pm 5 \,volts$ and $ I = 10 \pm 0.2$ amperes. What is the total error in $R$ ......... $\%$
The resistance $R =\frac{V}{I}$ where $V= 100 \pm 5 \,volts$ and $ I = 10 \pm 0.2$ amperes. What is the total error in $R$ ......... $\%$
$5$
$7$
$5.2$
$\frac{5}{2}$
The resistance $R =\frac{V}{I}$ where $V= 100 \pm 5 \,volts$ and $ I = 10 \pm 0.2$ amperes. What is the total error in $R$ ......... $\%$
$\therefore {\left( {\frac{{\Delta R}}{R} \times 100} \right)_{\max }} = \frac{{\Delta V}}{V} \times 100 + \frac{{\Delta I}}{I} \times 100$
$ = \frac{5}{{100}} \times 100 + \frac{{0.2}}{{10}} \times 100$
$ = (5 + 2)\% $
$= 7\%$
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