Published by:
CGP EDU Academic Team
Published on: September 12, 2026
According to Joule 's law of heating, heat produced H = I^{2} Rt , where I is current, R is resistance and t is time. If the errors in the measurement of I , R and t are 3%, 4% and 6% respectively then error in the measurement of H is
A
17%
B
16%
C
19%
D
25%
Text Solution
Verified by ExpertsThe correct answer is:
B
H = I^{2} R t
\(\therefore \frac{\Delta H}{H} \times 100 = \left( \frac{2 \Delta l}{l} + \frac{\Delta R}{R} + \frac{\Delta t}{t} \right) \times 100\) \(= (2 \times 3 + 4 - 6)\%\) = -16%
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