Joule Heating Independence of RHardQuestion 31699
Question
A battery charges a capacitor through resistance R. If R is doubled, the heat dissipated during charging:
- ADoubles
- BHalves
- CStays the sameCorrect
- DQuadruples
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.