First slide

Accuracy; precision of instruments and errors in measurements

Question

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

Moderate

A

2%
B

3%
C

4%
D

6%

Solution

$Required error =2 (i %) +1 (R %) +1 (t %) = 2 \times 2 % + 1 % + 1 % = 6 % .$

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