QPages 96-97: Q1: HC Verma: Concepts of Physics - Volume 2 Heat Transfer Pages 96-97: Q1 Solution: The heat current is written as . Why don't we write ?

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QPages 96-97: Q1: HC Verma: Concepts of Physics - Volume 2 Heat Transfer Pages 96-97: Q1 Solution: The heat current is written as . Why don't we write ?

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often mistakenly treat heat current as an instantaneous rate of change, assuming it requires the derivative notation $dQ/dt$. However, heat current is defined over a finite, measurable time interval $\Delta t$, so the correct notation is the ratio $\Delta Q/\Delta t$ rather than the limit-based derivative.

The heat current is written as

\frac{\Delta Q}{\Delta t}

. Why don't we write

\frac{dQ}{dt}

?

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Accepted Answer

**Answer:** We write _Q/_t instead of dQ/dt because heat current is defined as the amount of heat flowing per unit time over a measurable time interval, not an instantaneous derivative. **Step-by-Step Explanation:** In dQ/dt, dQ corresponds to an infinitesimal time dt where _t _ 0. Such an infinitesimal time cannot be measured experimentally. To define heat current, we take a very small but measurable time interval _t, measure the corresponding heat flow _Q, and define the heat current as _Q/_t. Hence the notation _Q/_t is used instead of dQ/dt [citation:13].

QPages 96-97: Q1: HC Verma: Concepts of Physics - Volume 2 Heat Transfer Pages 96-97: Q1 Solution: The heat current is written as . Why don't we write ?

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