Measured current is 5 A and voltage 20 V. Each instrument has 1% uncertainty. Find maximum first-order error in the estimated impedance, nearest integer mΩ.
Nominal impedance is V/I=4 Ω. Worst-case relative error for a quotient is the sum of numerator and denominator relative errors: one percent plus one percent=two percent. Hence ΔZ=0.02×4=0.08 Ω=80 mΩ.
More Measurement Errors and Uncertainty questions
GATE 2023 BM Q37– A 20 mV DC signal is superimposed with 10 mV RMS Gaussian noise whose spectrum is flat up…
GATE 2022 BM Q58– Three independent sensor measurements (mean ± standard deviation) are 4.52±0.02 V,…
GATE 2021 BM Q45– An ideal 5 V source drives two series 100 Ω resistors, and voltmeters V1,V2 measure the…
GATE 2026 BM Q56– Resistance is 60±2 Ω and measured voltage across it is 120±10 mV. Estimate uncertainty of…
GATE 2025 BM Q35– A test EEG device measures 2.4 μV while a reference measures 3.0 μV. Find the magnitude of…