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2023 · M/J · 5054/42 | Q2

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CIE-5054-2023-MJ-p42 · Question 2

Alternative to Practical: show readings, units and working. For a graph or circuit diagram, upload a clear image of your work on the supplied figure. Full-size measurement figures preserve print dimensions when printed at 100%.
(a)(i)
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A student investigates effective resistance of different resistor and lamp combinations. Fig. 2.1 shows two resistors in series in one branch, in parallel with a third resistor; Fig. 2.4 shows three resistors in parallel. Read the potential difference V₁ on Fig. 2.2 and current I₁ on Fig. 2.3 for the circuit of Fig. 2.1. Record both with units.

A student investigates effective resistance of different resistor and lamp combinations. Fig. 2.1 shows two resistors in series in one branch, in parallel with a third resistor; Fig. 2.4 shows three resistors in parallel.

Fig. 2.1
Fig. 2.4
Fig. 2.2
Fig. 2.3

Read the potential difference V₁ on Fig. 2.2 and current I₁ on Fig. 2.3 for the circuit of Fig. 2.1. Record both with units.

[2 marks]
(a)(ii)
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A student investigates effective resistance of different resistor and lamp combinations. Fig. 2.1 shows two resistors in series in one branch, in parallel with a third resistor; Fig. 2.4 shows three resistors in parallel. Using the readings from Fig. 2.2 and Fig. 2.3, calculate the effective resistance R₁ = V₁/I₁ in Ω.

Using the readings from Fig. 2.2 and Fig. 2.3, calculate the effective resistance R₁ = V₁/I₁ in Ω.

Fig. 2.2
Fig. 2.3
Answer guidance

Using You must use the thing it names. An answer that reaches the right value another way may not score.

[1 mark]
(a)(iii)
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A student investigates effective resistance of different resistor and lamp combinations. Fig. 2.1 shows two resistors in series in one branch, in parallel with a third resistor; Fig. 2.4 shows three resistors in parallel. In the circuit of Fig. 2.1 the student opens the switch after recording the readings. Suggest one reason why.

In the circuit of Fig. 2.1 the student opens the switch after recording the readings. Suggest one reason why.

Fig. 2.1
Answer guidance

Suggest More than one answer may be acceptable, so long as it is consistent with the physics.

[1 mark]
(b)
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A student investigates effective resistance of different resistor and lamp combinations. Fig. 2.1 shows two resistors in series in one branch, in parallel with a third resistor; Fig. 2.4 shows three resistors in parallel. The student reconnects the same three resistors as in Fig. 2.4. With V₂ = 2.8 V and I₂ = 0.88 A, calculate R₂ = V₂/I₂ and then write down 2R₂, both in Ω.

The student reconnects the same three resistors as in Fig. 2.4. With V₂ = 2.8 V and I₂ = 0.88 A, calculate R₂ = V₂/I₂ and then write down 2R₂, both in Ω.

Fig. 2.4
[1 mark]
(c)
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A student investigates effective resistance of different resistor and lamp combinations. Fig. 2.1 shows two resistors in series in one branch, in parallel with a third resistor; Fig. 2.4 shows three resistors in parallel. If the three resistors are identical, theory predicts R₁ = 2R₂. Using your values for the circuits in Fig. 2.1 and Fig. 2.4, decide if they agree within 10%. Support your statement with a calculation.

If the three resistors are identical, theory predicts R₁ = 2R₂. Using your values for the circuits in Fig. 2.1 and Fig. 2.4, decide if they agree within 10%. Support your statement with a calculation.

Fig. 2.1
Fig. 2.4
Answer guidance

Using You must use the thing it names. An answer that reaches the right value another way may not score.

[2 marks]
(d)

With lamps in place of the resistors in the same two circuit combinations, R₃ = 5.2 Ω and R₄ = 3.4 Ω. Suggest one observation showing that lamp heating changes the filament resistance.

Answer guidance

Suggest More than one answer may be acceptable, so long as it is consistent with the physics.

[1 mark]
(e)
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A student investigates effective resistance of different resistor and lamp combinations. Fig. 2.1 shows two resistors in series in one branch, in parallel with a third resistor; Fig. 2.4 shows three resistors in parallel. Complete the circuit in Fig. 2.5 by drawing a third, different connection of three lamp symbols between X and Y. The previous two combinations are shown in Figs. 2.1 and 2.4.

Complete the circuit in Fig. 2.5 by drawing a third, different connection of three lamp symbols between X and Y. The previous two combinations are shown in Figs. 2.1 and 2.4.

Fig. 2.5
Answer guidance

Complete Fill in every gap. A partly completed answer usually scores partly.

[2 marks]

5054/42/M/J/23Cambridge O Level Physics 5054 · May/June 2023 · Paper 4 variant 2 · Question 2