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The resistance R=VI where V=100V+/-5V and …

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The resistance R=VI where V=100V+/-5V and I=10A+/-0.2A.find the percentage error in R.

  • 1 answers

Arun Soni 8 years, 5 months ago

Here, {tex}V = 100 \pm 5V{/tex}and {tex}I = 10 \pm 0.2A{/tex}

Expressing limits of error as percentage error, we have

{tex}V = 100V \pm \frac{5}{{100}} \times 100 = 100V \pm 5\% {/tex}

{tex}I = 10A \pm \frac{{0.2}}{{100}} \times 100 = 10A \pm 2\% {/tex}

Now,{tex}R = \frac{V}{I}{/tex}

{tex}\therefore{/tex}% error in R=%error in V + % error in I

=5%+2%

=7%

{tex}\therefore{/tex}% error in R=7%

 

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