AS Daily A Level Physics question
A camping heater is marked 60 W at 12 V. For a short test it is powered from a 6.0 V DC supply. Assuming its resistance does not change significantly at the lower temperature, which is the best estimate of the power it now dissipates?
Answer
The correct answer is C.
Correct: C — About 15 W, because with resistance unchanged, halving the voltage makes the power one quarter. A assumes power is directly proportional to voltage for a fixed resistor, but for fixed resistance power scales with the square of voltage, giving a quarter not a half. B misinterprets the rating as a fixed power independent of supply; the rating applies at 12 V only. C matches the correct scaling: (6/12)^2 = 1/4, so 60 W becomes about 15 W. D incorrectly compounds reductions, treating power as halving twice; with fixed resistance, halving voltage already accounts for the current change, giving one quarter, not one eighth.