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9702/02/SP/22 · question 1 of 1 in this topic

Question 6

6(a)2 marks

Three resistors of resistances R₁, R₂ and R₃ are connected as shown in Fig. 6.1.

The currents in the resistors are I₁, I₂ and I₃. The total current in the combination of resistors is I and the potential difference across the combination is V.

Show that the total resistance R of the combination is given by the equation

1/R = 1/R₁ + 1/R₂ + 1/R₃.

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

Show The result is given, so every step of the reasoning is what earns the marks.

Your answer

Suggested time: 3 min

6(b)(i)1 mark

A battery of electromotive force (e.m.f.) 6.0 V and internal resistance r is connected to an external resistor of resistance 12 Ω and a thermistor X, as shown in Fig. 6.2.

By considering energy, explain why the potential difference across the terminals of the battery is less than the e.m.f.

Fig. 6.2 — see the question text for what it shows

Your answer

Suggested time: 2 min

6(b)(ii)3 marks

A battery of electromotive force (e.m.f.) 6.0 V and internal resistance r is connected to an external resistor of resistance 12 Ω in parallel with a thermistor X.

A charge of 2.5 kC passes through the battery.

Calculate:

• the total energy transferred by the battery

• the number of electrons that pass through the battery.

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

Your answer

Suggested time: 5 min

6(b)(iii)1 mark

A battery of e.m.f. 6.0 V and internal resistance r is connected to an external resistor of resistance 12 Ω and a thermistor X in parallel.

The combined resistance of the external resistor and thermistor X connected in parallel is 4.8 Ω.

Calculate the resistance of X.

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

Your answer

Suggested time: 2 min

6(b)(iv)2 marks

A 12 Ω resistor is connected in parallel with a thermistor X; the combined resistance is 4.8 Ω, so the resistance of X can be found (as in (b)(iii)).

Use your answer in (b)(iii) to determine the ratio

(power dissipated in thermistor X)/(power dissipated in 12 Ω resistor).

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

Your answer

Suggested time: 3 min

9702/02/SP/22Cambridge International AS & A Level Physics 9702 · Specimen 2022 · Paper 2 · sit the whole paper