Physics And Measurement Question 279

Question: Resistance $ R=V/I $ , here $ V=(100\pm 5)V $ and $ I=(10\pm 0.2)A $ . Find percentage error in R.

Options:

A) 5%

B) 2%

C) 7%

D) 3%

Show Answer

Answer:

Correct Answer: C

Solution:

[c] $ R=\frac{V}{I}so,\frac{\Delta R}{R}\times 100=\frac{\Delta V}{V}\times 100+\frac{\Delta I}{I}\times 100 $
$ \Rightarrow \frac{\Delta R}{R}\times 100=\frac{5}{100}\times 100+\frac{0.2}{10}\times 100=7% $



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