Resistance R =frac{V}{I} where V= 100 pm 5 ,volts and I = 10 pm 0.2 amperes. total error

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1.Units, Dimensions and Measurement

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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 $R$ ......... $\%$

A

$5$

B

$7$

C

$5.2$

D

$\frac{5}{2}$

Solution

(b) $\therefore {\left( {\frac{{\Delta R}}{R} \times 100} \right)_{\max }} = \frac{{\Delta V}}{V} \times 100 + \frac{{\Delta I}}{I} \times 100$

$ = \frac{5}{{100}} \times 100 + \frac{{0.2}}{{10}} \times 100$

$ = (5 + 2)\% $

$= 7\%$

Standard 11

Physics

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