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QPages 217-218: Q1: HC Verma: Concepts of Physics - Volume 2 Thermal and Chemical Effects of Electric Current Pages 217-218: Q1 Solution: Which of the following plots may represent the thermal energy…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students frequently assume thermal energy varies linearly with current ($H\propto I$) by using $P=IV$ with a constant voltage, forgetting that for a resistor $V=IR$ so $P=I^{2}R$ and $H=I^{2}Rt$, which yields a parabola through the origin. Remember to apply Ohm’s law before relating power or energy to current.

Which of the following plots may represent the thermal energy produced in a resistor in a given time as a function of the electric current?

Multiple Choice Options

  • A a) Straight line passing through the origin with positive slope,
  • B b) Parabola passing through the origin opening upwards,
  • C c) Hyperbola in the first quadrant,
  • D d) Straight line parallel to the current axis

Step-by-Step Verified Solution

**Answer:** Plot c. **Step-by-Step Explanation:** Thermal energy H = I_Rt _ I_. The plot is a parabola passing through the origin. Plot c represents this.

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