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Question

The resistance is $$\displaystyle R = \frac {V} {I} $$ where V = 100 $$ \pm $$ 5 Volts and I = 10 $$ \pm $$ 0.2 amperes. What is total error in R ?


A
5%
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B
7%
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C
5.2 %
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D
(52)%
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Solution

The correct option is D 7%

$$\displaystyle \frac {\Delta R} {R} \times 100 = \frac {\Delta V} {V} \times 100 + \frac {\Delta l} {l} \times 100 $$

                    $$\displaystyle = \frac {500} {1000} \times + \frac {0.2} {10} \times 100 \\ = 5 + 2 \\ = 7 \% $$


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