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A-Level Physics May/June 2024 Q5(b)(iii): The resistance of X is increased. The temperature of Y remains at 190°C. By reference t…
A-Level Physics · Paper 9702/22 · May/June 2024 · Question 5(b)(iii) · [3 marks]
The resistance of X is increased. The temperature of Y remains at 190°C.
By reference to the current in the circuit, state and explain the effect of this change, if any, on the potential difference across Y.
A full-marks model answer with a mark-by-mark examiner breakdown is below.
1 answer
- accepted ✓
The resistors X and Y are in series, so the total resistance of the circuit is . When the resistance of X increases, the total resistance of the circuit also increases.
According to Ohm's law for the entire circuit, the current is given by , where is the constant e.m.f. of the supply. Since the total resistance has increased, the current in the circuit must decrease.
The potential difference across Y is given by . The resistance of Y, , is stated to be constant. As the current has decreased, the potential difference across Y must therefore decrease.
How the marks are awarded
- B1 — Stating that the total resistance of the circuit increases as a result of the resistance of X increasing.
- B1 — Correctly deducing that the current in the circuit decreases because the total resistance has increased while the supply e.m.f. is constant.
- B1 — Concluding that the potential difference across Y decreases, by correctly applying Ohm's law () with a decreased current and constant resistance.
Common mistakes
- Failing to refer to the current as explicitly requested, instead only using a potential divider argument (e.g., 'X takes a bigger share of the voltage, so Y gets less').
- Stating that the total resistance increases and the current decreases, but then incorrectly concluding that the p.d. across Y stays the same because its own resistance is constant.
- Only stating the final effect (p.d. decreases) without any explanation of the intermediate steps involving total resistance and current.
- Incorrectly assuming that because the resistance of X increases, the current also increases, which is a fundamental misunderstanding of Ohm's law in a series circuit.
Examiner tip: For 'state and explain' questions, always build a logical chain of cause and effect, ensuring each step directly follows from the previous one and addresses all parts of the prompt.
AI-generated model answer, grounded in the official Cambridge mark scheme and reviewed by the MarkScheme team. Mark your own answer to this question →
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