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  3. Physics
  4. The heat generated in a circuit is given by Q=I2 Rt , where I is current, R is resistance, and t is time. If the percentage errors in measuring I,R, and t are 2 %, 1 % and 1 % respectively, then the maximum error in measuring heat will be

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Q. The heat generated in a circuit is given by $Q=I^{2} \, Rt$ , where $I$ is current, $R$ is resistance, and $t$ is time. If the percentage errors in measuring $I,R,$ and $t$ are $2\%, \, 1\%$ and $1\%$ respectively, then the maximum error in measuring heat will be

NTA AbhyasNTA Abhyas 2022

Solution:

$Q=I^{2}Rt$
Required error is $2\times 2\%+1\%+1\%=6\%$