MCQ
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
  • A
    $2$
  • B
    $4$
  • C
    $6$
  • $8$

Answer

Correct option: D.
$8$
d
$E _{ H }= I ^{2} R \times t$

$\frac{\Delta E }{ E } \times 100=\frac{2 \Delta I }{ I } \times 100+\frac{\Delta R }{ R } \times 100+\frac{\Delta T }{ T } \times 100$

$=2 \times 2+1+3=8$

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