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PRACTICE / Error propagation

The same formula, a different uncertainty

The voltage and current used in R = V/I have independent relative standard uncertainties of 3% and 4%.

Find the approximate relative standard uncertainty of R.

Organize the givens & assumptions
  • Relative standard uncertainty in V: 3%
  • Relative standard uncertainty in I: 4%
  • Inputs independent; R = V/I

Small uncertainties and independent inputs. No covariance term; the quoted quantities are standard uncertainties.

  1. A0.010.01
  2. B0.250.25
  3. C0.050.05
  4. D0.070.07

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