The resistance R = V I , where V = ( 200 ± 5 ) V and I = ( 20 ± 0 . 2 ) A , the percentage error in the…

The resistance R=VI, where V=(200±5) V and I=(20±0.2) A, the percentage error in the measurement of R is :
  1. 3.5%
  2. 7%
  3. 3%
  4. 5.5%

Solution

Given that, R=VI

According to error analysis

dRR=dVV+dII⇒dRR=5200+0.220⇒dRR=7200

Thus, the percentage error can be calculated as follows:

% error =dRR×100=7200×100=3.5%

Asked in: JEE Main 2024 (29 Jan Shift 1)

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