Potential Dividers. 46 minutes. 46 marks. Page 1 of 11
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1 Potential Dividers 46 minutes 46 marks Page 1 of 11
2 Q1. In the circuit shown in the figure below, the battery, of negligible internal resistance, has an emf of 30 V. The pd across the lamp is 6.0 V and its resistance is 12 Ω. (a) Show that the total resistance of the circuit is 20 Ω (3) (b) Calculate (i) the current supplied by the battery, (ii) the pd between the points A and B, (iii) the current in the lamp. (4) Page 2 of 11
3 (c) (i) What is the power of the lamp, in W? (ii) What percentage of the power supplied by the battery is dissipated in the lamp? (3) (Total 10 marks) Q2. (a) A student wishes to investigate how the resistance of a thermistor changes with temperature. (i) Draw a labelled diagram of a suitable circuit that would enable the student to measure the resistance of the thermistor. Page 3 of 11
4 (ii) Describe the procedure the student would follow in order to obtain accurate and reliable measurements of the resistance of the thermistor at different temperatures. The quality of your written communication will be assessed in this question. (6) (b) The diagram below shows a thermistor connected in series with a resistor, R, and battery of emf 6.0 V and negligible internal resistance. When the temperature is 50 C the resistance of the thermistor is 1.2 kω. The voltmeter connected across R reads 1.6V. (i) Calculate the pd across the thermistor. answer =... V (1) Page 4 of 11
5 (ii) Calculate the current in the circuit. answer =... A (1) (iii) Calculate the resistance of R quoting your answer to an appropriate number of significant figures. answer =... Ω (c) State and explain the effect on the voltmeter reading if the internal resistance of the battery in the circuit in part (b) was not negligible (Total 14 marks) Page 5 of 11
6 Q3. In the circuit shown in the figure below, the battery, of negligible internal resistance, is connected to two resistors which form a potential divider. (a) (i) Calculate the current through the ammeter. (ii) A 20 Ω resistor is now connected between X and Y. State and explain, without further calculation, whether the current through the ammeter will increase or decrease. You may be awarded marks for the quality of written communication in your answer. (4) (b) The 20 Ω resistor is now removed and replaced with a voltmeter. Stating the assumption made, show that the reading on the voltmeter is 4.9 V Page 6 of 11
7 (c) The voltmeter is now removed and the terminals X and Y joined together with a wire. Calculate the reading on the ammeter (Total 8 marks) Q4. (a) In the circuit shown in Figure 1, the battery has an emf of 12 V and negligible internal resistance. PQ is a potential divider, S being the position of the sliding contact. In the position shown, the resistance between P and S is 180 Ω and the resistance between S and Q is 60 Ω. Figure 1 (i) Calculate the current, I, in the circuit, assuming that there is no current through the voltmeter V. (ii) What property of the voltmeter allows us to assume that no current flows through it? (iii) What is the reading on the voltmeter? (4) Page 7 of 11
8 (b) The circuit in Figure 1 is modified as shown in Figure 2, by exchanging the voltmeter for a load R, whose resistance is about the same as the resistance of section SQ of the potential divider. Figure 2 Explain, without calculation, why the current through the battery increases in value from that in part (a). You may be awarded marks for the quality of written communication in your answer (Total 6 marks) Page 8 of 11
9 Q5. The figure below shows two resistors, R 1 and R 2, connected in series with a battery of emf 12 V and negligible internal resistance. (a) The reading on the voltmeter is 8.0 V and the resistance of R 2 is 60 Ω. (i) Calculate the current in the circuit. answer =... A (ii) Calculate the resistance of R 1. answer =... Ω (1) (iii) Calculate the charge passing through the battery in 2.0 minutes. Give an appropriate unit for your answer. answer =... unit =... Page 9 of 11
10 (b) In the circuit shown in the figure above R 2 is replaced with a thermistor. State and explain what will happen to the reading on the voltmeter as the temperature of the thermistor increases (3) (Total 8 marks) Page 10 of 11
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