JEE Physics · Hard

Current Electricity: Joule Heating Independence of R MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Joule Heating Independence of RHardQuestion 31699

Question

A battery charges a capacitor through resistance R. If R is doubled, the heat dissipated during charging:
  1. A
    Doubles
  2. B
    Halves
  3. C
    Stays the same
    Correct
  4. D
    Quadruples

Correct answer

Stays the same

Explanation

Total heat = total energy from battery − energy stored in capacitor = CE² − ½CE² = ½CE². This is independent of R (only depends on E and C). R affects how quickly heat is generated, not total amount.