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QPage 196: Q10: HC Verma: Concepts of Physics - Volume 2 Electric Current in Conductors Page 196: Q10 Solution: Consider a circuit containing an ideal battery connected to a…
⚠️ Common Exam Traps & Conceptual Pitfalls
Students often equate the battery’s work with the resistor’s heat, overlooking that a real battery has internal resistance; part of the work is dissipated as internal heating, so the two quantities are equal only for an ideal (zero‑internal‑resistance) battery and with consistent sign conventions.
Consider a circuit containing an ideal battery connected to a resistor. Do "work done by the battery" and "the thermal energy developed" represent two names of the same physical quantity?
Step-by-Step Verified Solution
**Answer:** Yes, for an ideal battery connected to a resistor, "work done by the battery" and "thermal energy developed" represent the same physical quantity.
**Step-by-Step Explanation:**
The battery converts chemical energy into electrical energy. For an ideal battery (no internal resistance), all this electrical energy is dissipated as heat in the resistor. By conservation of energy, work done by the battery equals heat developed in the resistor.
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