Question

The heat generated in a circuit is dependent on the resistance, current and time of flow of electric current. If the percentage errors measured in the above physical quantities are 1%, 2% and 1% respectively, the maximum error in measuring the heat is :

• A. $2\%$
• B. $3\%$
• C. $6\%$
• D. $1\%$

Answer 1

Answer: (C)

$6\%$

$H=I^{2}RT$ (by dimensional analysis)
$\frac{△n}{n}=(2\frac{△I}{I}+\frac{△R}{R}+\frac{△T}{T})$%
$=2\left(2\right)+1+1$
$=6$ %