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QPages 217-218: Q2: HC Verma: Concepts of Physics - Volume 2 Thermal and Chemical Effects of Electric Current Pages 217-218: Q2 Solution: A constant current i is passed through a resistor. Taking the…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often mistakenly assume the power remains constant ($P = I^2R$ with fixed $R$) or incorrectly apply the constant voltage formula ($P = V^2/R$), leading them to select a flat or decreasing curve. You must recognize that for a constant current source, the increasing resistance due to temperature directly causes the thermal power to rise, resulting in an upward-bending curve.

A constant current i is passed through a resistor. Taking the temperature coefficient of resistance into account, indicate which of the plots shown in the figure best represents the rate of production of thermal energy in the resistor.

Multiple Choice Options

  • A a) Straight line parallel to the time axis,
  • B b) Straight line with a positive slope,
  • C c) Curve bending upwards with an increasing slope,
  • D d) Curve bending downwards

Step-by-Step Verified Solution

**Answer:** Plot c. **Step-by-Step Explanation:** The rate of production of thermal energy P = I_R. As temperature increases, R increases, so P increases. Plot c represents this.

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