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.

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.:

Doubtly Asked 30 Mar 2021 Updated 23 Oct 2026 physics Save WhatsApp Report

1 answer

Best answer

Answer: 14%

For \(R = \dfrac{V}{I}\), the maximum relative error is the sum of the relative errors:

\[\frac{\Delta R}{R} = \frac{\Delta V}{V} + \frac{\Delta I}{I}\]

Here \(V = 50\) V, \(\Delta V = 2\) V, \(I = 20\) A, \(\Delta I = 2\) A:

\[\frac{\Delta R}{R} = \frac{2}{50} + \frac{2}{20} = 0.04 + 0.10 = 0.14\]

Percentage error \(= 0.14 \times 100 = 14\%\).

Doubtly AI · 23 Oct 2026 AI-verified · Oct 2026 Report

Was this answer helpful?

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.

1 answer

Your answer