The amount of heat produced in an electric circuit depends upon the current ( I ) , resistance ( R ) and time ( t ) . If the error made in the measurements of the above quantities are 2% , 1% and 1% r

Question

The amount of heat produced in an electric circuit depends upon the current ( I ) , resistance ( R ) and time ( t ) . If the error made in the measurements of the above quantities are 2% , 1% and 1% respectively then the maximum possible error in the total heat produced will be

TestHub · Accepted Answer

Given : I Δ I ​ × 100 = 2% ; R Δ R ​ × 100 = 1% and t Δ t ​ × 100 = 1% Heat produced, H = I 2 Rt Maximum possible error in heat produced, ​ = H Δ H ​ × 100 = 2 ( I Δ I ​ × 100 ) + R Δ R ​ × 100 + t Δ t ​ × 100 = 2 × 2% + 1% + 1% = 6% ​

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