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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

Options

  1. A1 %
  2. B2 %
  3. C6 %
  4. D3 %

Correct answer

C. 6 %

Step-by-step solution

Given : I I 100=2 % ; R R 100=1 % and t t 100=1 % Heat produced, H=I^2 R t Maximum possible error in heat produced, aligned & = H H 100 & =2 ( I I 100 )+ R R 100+ t t 100 & =2 2 %+1 %+1 %=6 % aligned

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