Question

The resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurement of the current and voltage are each $3$% respectively, the maximum percentage error in measurement of resistance is:
( $R=\frac{V}{I}$ )

• A. $6$%
• B. $3$%
• C. $1$%
• D. $zero$

Answer 1

Answer: (A)

$6$%

$R=\frac{V}{I}$

$\frac{\Delta R}{R}=\frac{\Delta V}{V}+\frac{\Delta I}{I}$

$\frac{\Delta R}{R}=3+3=6$%