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Physics - Error Question with Solution | TestHub

PhysicsErrorMiscellaneousMedium2 minPYQ_2001

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The heat produced in a long wire is characterised by resistance, current and time through which the current passes. If the errors in measuring these quantities are respectively $1%, 2%$ and $1%$ , then total error in calculating the energy produced is

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Solution:

The heat produced in a wire due to current flow is given by $H ∴ \frac{Δ H}{H} = I^{2} Rt = \frac{2Δ I}{I} + \frac{Δ R}{R} + \frac{Δ t}{t} = 2 \times 0.02 + 0.01 + 0.01 = 0.06 = 6%$

Stream:AIIMSSubject:PhysicsTopic:ErrorSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2001

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