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

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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:

TestHub · Accepted Answer

Heat generated through resistance is given by, $H = i^{2} R t$
Therefore, the percentage error in the calculation can be found by,
$\Rightarrow \frac{Δ H}{H} \times 100 = 2 \times \frac{Δ i}{i} \times 100 + \frac{Δ R}{R} \times 100 + \frac{Δ t}{t} \times 100$
$\Rightarrow \frac{Δ H}{H} \times 100 = 4 % + 1 % + 3 %$
$\Rightarrow \frac{Δ H}{H} \times 100 = 8 %$

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