A2 Daily A Level Physics question
In a lab test, a metal-film resistor behaves ohmically with resistance 6.0 Ω. The technician increases the DC supply from 3.0 V to 6.0 V. Which statement about the power dissipated in the resistor is correct?
Answer
The correct answer is C.
Correct: C — It becomes four times as large, because both voltage and current double. For an ohmic resistor, doubling V doubles I, so power (V×I) becomes 2×2 = 4 times bigger; numerically, at 3.0 V: I = 0.50 A and P = 1.5 W, at 6.0 V: I = 1.0 A and P = 6.0 W (four times). A is wrong because it ignores that power depends on both voltage and current, not just the current doubling. B is wrong because even though resistance is unchanged, changing the voltage and current changes the power. C is the only statement consistent with the proportional changes in V and I for an ohmic resistor. D is wrong because the resistance of an ohmic resistor does not halve when the applied voltage doubles; resistance is constant in this model.