Resistance of a given wire is obtained by measuring

Question:

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 the voltage difference are $3 \%$ each, then error in the value of resistance of the wire is :-

  1. $3 \%$

  2. $6 \%$

  3. zero

  4. $1 \%$


Correct Option: , 2

Solution:

$R=\frac{V}{I} \Rightarrow \frac{\Delta R}{R}=\pm\left(\frac{\Delta V}{V}+\frac{\Delta I}{I}\right)$

$=\pm(3+3) \%=\pm 6 \%$

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now