A2 Daily A Level Physics question
An electric lab heater is powered by an ideal 12 V dc supply. When new, the heater's resistance is 6.0 Ω. After use, oxidation increases its resistance by 50% but the supply voltage remains 12 V. Which statement about the power dissipated in the heater is correct?
Answer
The correct answer is A.
Correct: A — It decreases to 16 W, i.e. two-thirds of the original 24 W. A uses fixed supply voltage so power varies inversely with resistance; increasing R by 50% (6.0 Ω to 9.0 Ω) scales power by 1/1.5 = 2/3: 24 W to 16 W. B is wrong because power would stay the same only if both voltage and resistance stayed the same; here higher resistance reduces current and thus power. C is wrong because it treats current as unchanged and uses P ∝ R, but with a fixed-voltage source the current falls so power does not increase. D is wrong because halving to 12 W would happen if resistance doubled; here it increased by 1.5×, giving 2/3, not 1/2.