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Question

The resistance R=V/I, where V=(100±5)V and I=(10±0.2)A. Find the percentage error in R.

A
17%
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B
7%
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C
5%
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D
11%
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Solution

The correct option is B 7%
V=100±151vI=10±0.2 A ohm's law: V=IR taking loglogV=logI+logR

differentiating dVV=dII+dRRdRR=dVVdII error always added dRR=dVV+dIIdRR=5100+0.210dRR=7100

% error in R=7100×100%=7%

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