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QPage 217: Q1: Thermal and Chemical Effects of Electric Current Solutions — HC Verma: Concepts of Physics - Volume 2

⚠️ Common Exam Traps & Conceptual Pitfalls

Students frequently assume the filament’s resistance will keep dropping or that the current will continue falling indefinitely, forgetting that a metal filament has a positive temperature coefficient: as it heats, $R$ rises, reducing $I$, and the process stops when Joule heating equals radiative loss, giving a steady $I$.

If a constant potential difference is applied across a bulb, the current slightly decreases as time passes and then becomes constant. Explain.

Step-by-Step Verified Solution

**Answer:** The current decreases initially because the resistance of the filament increases with temperature, and then becomes constant when the heat produced equals the heat radiated. **Step-by-Step Explanation:** Initially, the filament is at room temperature. When a constant potential difference is applied, the filament heats up due to Joule heating. For metals, resistance increases with temperature. Since i=V/Ri = V/R, as RR increases, the current decreases. After some time, the rate of heat produced by the current equals the rate of heat radiated to the surroundings. The temperature stabilises, and hence the resistance and current become constant .

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