2024 · M/J · 9702/21 | Q6

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CIE-9702-2024-MJ-p21 · Question 6

Available practice: 51 of 60 marks. Parts 1(a), 3(a), 6(d)(i), 6(d)(ii) await marking support. Scores cover available parts only.

(a)State Kirchhoff's first law.

Answer guidance

State A short answer. No explanation is needed, and adding one cannot earn extra marks.

[1 mark]

A cell with internal resistance r is connected to two resistors of resistances R₁ and R₂ as shown in Fig. 6.1.

The potential differences (p.d.s) across R₁ and R₂ are V₁ and V₂ respectively. The terminal p.d. across the cell is V. The current in the circuit is I.

(b)Use Kirchhoff's laws to show that the total resistance R_T of the external circuit is given by R_T = R₁ + R₂.

Fig. 6.1 — see the question text for what it shows
Answer guidance

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

[2 marks]

A cell with internal resistance r is connected in series with two resistors R₁ and R₂ (Fig. 6.1). The electromotive force (e.m.f.) of the cell is 1.50 V. The values of R₁ and R₂ are 10 Ω and 15 Ω respectively. The terminal p.d. of the cell is 1.35 V.

(c)Calculate the internal resistance r of the cell.

Answer guidance

Calculate Show your working. The method can earn marks even when the final value is wrong, and a bare answer often cannot.

[3 marks]

9702/21/M/J/24Cambridge International AS & A Level Physics 9702 · May/June 2024 · Paper 2 variant 1 · Question 6