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The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are 1 % , 2 % and 3 % respectively. The maximum percentage error in the detection of the dissipated heat will be:

Options

  1. A2
  2. B4
  3. C6
  4. D8

Correct answer

D. 8

Step-by-step solution

Heat generated through resistance is given by, H = i 2 R t Therefore, the percentage error in the calculation can be found by, ⇒ Δ H H × 100 = 2 × Δ i i × 100 + Δ R R × 100 + Δ t t × 100 ⇒ Δ H H × 100 = 4 % + 1 % + 3 % ⇒ Δ H H × 100 = 8 %

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