Question # The resistance is ( mathrm{R}=frac{mathrm{V}}{mathrm{I}} ) where ( mathrm{V}=(100 pm 5) ) volt and ( mathrm{I}=(10 pm 0.2) ) ampere. What is the total error in ( mathrm{R} ? )

# The resistance is ( mathrm{R}=frac{mathrm{V}}{mathrm{I}} ) where ( mathrm{V}=(100 pm 5) ) volt and ( mathrm{I}=(10 pm 0.2) ) ampere. What is the total error in ( mathrm{R} ? )

(1) ( 5 % )

(2) ( 7 % )

(3) ( 5.2 % )

(4)( left(frac{5}{2}right) % )

Solution

( begin{aligned} R &=frac{1}{I} frac{D R}{R} &=frac{Delta V}{Y} pm frac{D I}{I} &=frac{5}{100} times 100 pm frac{0.2}{10} times 100 &=5 pm 2 &=7 cdot 1 . end{aligned} )