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A resistance is found from a voltage known to 1 per cent and a current known to 2 per cent. The resistance is uncertain by about

  • A.1.0 per cent
  • B.0.5 per cent
  • C.2.2 per cent
  • D.3.0 per cent

Answer: C

Correct answer: 2.2 per cent

For a quotient the relative uncertainties combine in quadrature: \[ \sqrt{1^2 + 2^2} = \sqrt{5} = 2.24\ \mathrm{per\ cent}. \] Note how the larger contribution dominates - improving the 1 per cent measurement to 0.5 per cent would change the total only to 2.06 per cent. Effort belongs on the worst term.

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