question_answer

The resistance R is the ratio of potential diff. V and current 7. What is the %age error in R if \[\text{V =}\left( \text{1}00\text{ }\pm \text{ 5} \right)\]                volt and \[I=\left( 10\pm 0.2 \right)A\]?

Answer:

                \[\frac{\Delta R}{R}\times 100=\pm \left( \frac{\Delta V}{V}+\frac{\Delta I}{I} \right)\times 100=\pm \left[ \frac{5}{100}+\left( \frac{0.2}{10} \right) \right]\times 100=\pm 7%\]