Physics And Measurement Question 177
Question: 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
Options:
A) 5%
B) 7%
C) 5.2%
D) $ \frac{5}{2} $ %
Show Answer
Answer:
Correct Answer: B
Solution:
$ \therefore $ $ {{( \frac{\Delta R}{R}\times 100 )} _{\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%
