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  4. 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:

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Q. 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:

JEE MainJEE Main 2022Physical World, Units and Measurements

Solution:

$ 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$