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  • The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are <img alt="\mathrm{1 \%, 2 \% \: and \: 3 \%}" src="/latex-image/?%5Cmathrm%

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

Option: 1

2


Option: 2

4


Option: 3

6


Option: 4

8


Answers (1)

best_answer

\mathrm{\frac{\Delta R}{R} \times 100=1 \% }

\mathrm{\frac{\Delta I}{I} \times 100=2 \% }

\mathrm{\frac{\Delta t}{t} \times 100=3 \% }

Heat dissipated\mathrm{=H=I^{2} R t }

\mathrm{\frac{\Delta H}{H} \times 100=2 \frac{\Delta I}{H} \times 100+\frac{\Delta R}{R} \times 100 }

                                    \mathrm{+\frac{\Delta t}{t}\times 100}

\mathrm{=2(2%)+1%+3%}

  \mathrm{\frac{\Delta H}{H}\times 100=8%}

Hence (4) is correct option.

 

Posted by

Riya

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