Relation between voltage, current and resistance is given by R=V/I Measured value of voltage (50 ±2) volt, measured value of current is (20 ±2)A.

Question

Relation between voltage, current and resistance is given by \(R={ V\over I}\) Measured value of voltage (50 \(\pm\) 2) volt, measured value of current is (20 \(\pm\)2)A. Percentage error in resistance measurement is.:

Answer 1

Correct Answer for this question is 5 

\(R={V\over I}\)

 lnR = lnv – lnI 

\({{\triangle R\over R}|_{max}}={{\triangle v\over v}+{ \triangle I\over I}}\)

%\(Error = ({2 \over 50}+{.2\over 20} )\times100\)

= (.04+.01) × 100

= .05 × 100 = 5%