A wire resistance is obtained from R = V/I. If the percentage uncertainties in measurements of voltage and current are each 3%, find the maximum percentage uncertainty in R.
Physics · Mixed Chapter
JEE Mains

Question

A wire resistance is obtained from R = V/I. If the percentage uncertainties in measurements of voltage and current are each 3%, find the maximum percentage uncertainty in R.

G1 Physics · Accepted Answer

Step 1 — Formula for resistance: R = V/I. Step 2 — Propagate maximum percentage errors: For multiplication or division, fractional uncertainties add in magnitude: ΔR/R = ΔV/V + ΔI/I. Step 3 — Substitute measured percentage errors: Maximum percentage error in R = 3% + 3% = 6%. Answer: 6.