Question

In the experiment of verification of Ohms law the error in the current measurement is 1%, while that in the voltage measurement is 2%. The error in the resistance has a maximum value of

• A. 1%
• B. 2%
• C. 3%
• D. none of these.

Answer 1

The correct option is C 3%

From Ohm's law, resistance is measured as $R=\frac{V}{I}$
Error in current $\frac{\Delta I}{I}\times 100=1$%
Error in voltage $\frac{\Delta V}{V}\times 100=2$%
Error in resistance $\frac{\Delta R}{R}\times 100=\frac{\Delta I}{I}\times 100+\frac{\Delta V}{V}\times 100$
$\frac{\Delta R}{R}\times 100=1+2=3$%