1 (a) Figure 1 shows the oscilloscope trace an alternating current (a.c.) electricity supply produces. Figure 1 One vertical division on the oscilloscope screen represents 5 volts. Calculate the peak potential difference of the electricity supply. ............................................................................................................................. Peak potential difference = ................................................. V (1) (b) Use the correct answer from the box to complete the sentence. 40 50 60 In the UK, the frequency of the a.c. mains electricity supply is ............ hertz. (1) (c) Figure 2 shows how two lamps may be connected in series or in parallel to the 230 volt mains electricity supply. Figure 2 Page 1 of 26 (i) Calculate the potential difference across each lamp when the lamps are connected in series. The lamps are identical. ................................................................................................................... Potential difference when in series = ..................... V (1) (ii) What is the potential difference across each lamp when the lamps are connected in parallel? Tick (✔) one box. 115 V 230 V 460 V (1) (iii) Give one advantage of connecting the lamps in parallel instead of in series. ................................................................................................................... ................................................................................................................... (1) (d) Figure 3 shows the light fitting used to connect a filament light bulb to the mains electricity supply. Figure 3 The light fitting does not have an earth wire connected. Explain why the light fitting is safe to use. ............................................................................................................................. ............................................................................................................................. ............................................................................................................................. ............................................................................................................................. (2) Page 2 of 26 (e) A fuse can be used to protect an electrical circuit. Name a different device that can also be used to protect an electrical circuit. ............................................................................................................................. (1) (Total 8 marks) 2 (a) The diagram shows the circuit that a student used to investigate how the current through a resistor depends on the potential difference across the resistor. (i) Each cell provides a potential difference of 1.5 volts. What is the total potential difference provided by the four cells in the circuit? ............................................................................................................... Total potential difference = .................................................. volts (1) (ii) The student uses the component labelled X to change the potential difference across the resistor. What is component X? Draw a ring around your answer. light-dependent resistor thermistor variable resistor (1) (iii) Name a component connected in parallel with the resistor. ............................................................................................................... (1) Page 3 of 26 (b) The results obtained by the student have been plotted on a graph. (i) One of the results is anomalous. Draw a ring around the anomalous result. (1) (ii) Which one of the following is the most likely cause of the anomalous result? Put a tick ( ) in the box next to your answer. The student misread the ammeter. The resistance of the resistor changed. The voltmeter had a zero error. (1) (iii) What was the interval between the potential difference values obtained by the student? ............................................................................................................... ............................................................................................................... (1) Page 4 of 26 (c) Describe the relationship between the potential difference across the resistor and the current through the resistor. ........................................................................................................................ ........................................................................................................................ (1) (Total 7 marks) 3 A student set up the electrical circuit shown in the figure below. (a) The ammeter displays a reading of 0.10 A. Calculate the potential difference across the 45 Ω resistor. ............................................................................................................................. ............................................................................................................................. Potential difference = ............................................. V (2) (b) Calculate the resistance of the resistor labelled R. ............................................................................................................................. ............................................................................................................................. ............................................................................................................................. Resistance = ............................................. Ω (3) Page 5 of 26 (c) State what happens to the total resistance of the circuit and the current through the circuit when switch S is closed. ............................................................................................................................. ............................................................................................................................. ............................................................................................................................. ............................................................................................................................. (2) (Total 7 marks) 4 The picture shows an electric cooker hob. The simplified circuit diagram shows how the four heating elements connect to the mains electricity supply. The heating elements are identical. When all four heating elements are switched on at full power the hob draws a current of 26 A from the 230 V mains electricity supply. (a) Calculate the resistance of one heating element when the hob is switched on at full power. Give your answer to 2 significant figures. ........................................................................................................................ ........................................................................................................................ ........................................................................................................................ Resistance = .............................. Ω (3) Page 6 of 26 (b) The table gives the maximum current that can safely pass through copper wires of different cross-sectional area. Cross-sectional area in mm2 Maximum safe current in amps 1.0 11.5 2.5 20.0 4.0 27.0 6.0 34.0 The power sockets in a home are wired to the mains electricity supply using cables containing 2.5 mm2 copper wires. Most electrical appliances are connected to the mains electricity supply by plugging them into a standard power socket. It would not be safe to connect the electric cooker hob to the mains electricity supply by plugging it into a standard power socket. Why? ........................................................................................................................ ........................................................................................................................ ........................................................................................................................ ........................................................................................................................ (2) (c) Mains electricity is an alternating current supply. Batteries supply a direct current. What is the difference between an alternating current and a direct current? ........................................................................................................................ ........................................................................................................................ ........................................................................................................................ ........................................................................................................................ (2) (Total 7 marks) Page 7 of 26 5 (a) Draw one line from each circuit symbol to its correct name. Circuit symbol Name Diode Lightdependent resistor (LDR) Lamp Lightemitting diode (LED) (3) Page 8 of 26 (b) Figure 1 shows three circuits. The resistors in the circuits are identical. Each of the cells has a potential difference of 1.5 volts. Figure 1 Circuit 1 (i) Circuit 2 Circuit 3 Use the correct answer from the box to complete the sentence. half twice the same as The resistance of circuit 1 is ................................................ the resistance of circuit 3. (1) (ii) Calculate the reading on voltmeter V2. ............................................................................................................... Voltmeter reading V2 = .............................. V (1) (iii) Which voltmeter, V1, V2 or V3, will give the lowest reading? Draw a ring around the correct answer. V1 V2 V3 (1) Page 9 of 26 (c) A student wanted to find out how the number of resistors affects the current in a series circuit. Figure 2 shows the circuit used by the student. Figure 2 The student started with one resistor and then added more identical resistors to the circuit. Each time a resistor was added, the student closed the switch and took the ammeter reading. The student used a total of 4 resistors. Figure 3 shows three of the results obtained by the student. Figure 3 Number of resistors in series (i) To get valid results, the student kept one variable the same throughout the experiment. Which variable did the student keep the same? ............................................................................................................... (1) Page 10 of 26 (ii) The bar chart in Figure 3 is not complete. The result using 4 resistors is not shown. Complete the bar chart to show the current in the circuit when 4 resistors were used. (2) (iii) What conclusion should the student make from the bar chart? ............................................................................................................... ............................................................................................................... (1) (Total 10 marks) 6 The current in a circuit depends on the potential difference provided by the cells and the total resistance of the circuit. (a) Figure 1 shows the graph of current against potential difference for a component. What is the name of the component? Draw a ring around the correct answer. diode filament bulb thermistor (1) Page 11 of 26 (b) Figure 2 shows a circuit containing a 6 V battery. Two resistors, X and Y, are connected in parallel. The current in some parts of the circuit is shown. (i) What is the potential difference across X? Potential difference across X = ............................. V (1) (ii) Calculate the resistance of X. ............................................................................................................... ............................................................................................................... Resistance of X = ............................. Ω (2) Page 12 of 26 (iii) What is the current in Y? Current in Y = ............................. A (1) (iv) Calculate the resistance of Y. ............................................................................................................... Resistance of Y = ............................. Ω (1) (v) When the temperature of resistor X increases, its resistance increases. What would happen to the: • potential difference across X • current in X • total current in the circuit? Tick ( ) three boxes. Decrease Stay the same Increase Potential difference across X Current in X Total current in the circuit (3) (Total 9 marks) Page 13 of 26 7 (a) Figure 1 shows the inside of a battery pack designed to hold three identical 1.5 V cells. Figure 1 Which one of the arrangements shown in Figure 2 would give a 4.5 V output across the battery pack terminals T? Figure 2 (1) (b) Figure 3 shows a variable resistor and a fixed value resistor connected in series in a circuit. Figure 3 Complete Figure 3 to show how an ammeter would be connected to measure the current through the circuit. Use the correct circuit symbol for an ammeter. (1) Page 14 of 26 (c) The variable resistor can be adjusted to have any value from 200 ohms to 600 ohms. Figure 4 shows how the reading on voltmeter V1 and the reading on voltmeter V2 change as the resistance of the variable resistor changes. Figure 4 (i) How could the potential difference of the battery be calculated from Figure 4? Tick (✔) one box. 9 + 3 = 12 V 9–3=6V 9÷3=3V Give the reason for your answer. ................................................................................................................... ................................................................................................................... (2) Page 15 of 26 (ii) Use Figure 4 to determine the resistance of the fixed resistor, R. Resistance of R = ..................... Ω Give the reason for your answer. ................................................................................................................... ................................................................................................................... (2) (iii) Calculate the current through the circuit when the resistance of the variable resistor equals 200 Ω. ................................................................................................................... ................................................................................................................... ................................................................................................................... Current = ..................... A (3) (Total 9 marks) Page 16 of 26 Mark schemes 1 (a) 20 1 (b) 50 1 (c) (i) 115 1 (ii) 230 1 (iii) if one goes out the other still works or brighter accept power (output) is greater can be switched on/off independently is insufficient 1 (d) the outside/casing is plastic there is plastic around the wires is insufficient it is plastic is insufficient 1 and plastic is an insulator an answer the light fitting is double insulated gains both marks 1 (e) (residual current) circuit breaker accept RCCB accept RCBO accept RCCD accept RCB accept miniature circuit breaker / MCB trip switch is insufficient breaker is insufficient do not accept earth wire 1 [8] 2 (a) (i) 6 1 (ii) variable resistor 1 (iii) voltmeter 1 (b) (i) point at 3 V ringed 1 Page 17 of 26 (ii) The student misread the ammeter. 1 (iii) 1 (volt) accept every volt 1 (c) as one increases so does the other or directly proportional or positive correlation accept a numerical description, eg when one doubles the other also doubles 1 [7] 3 (a) V = 0.10 × 45 1 4.5 (V) 1 (b) R = 12 / 0.10 1 total resistance = 120 (Ω) 1 R = 120 – 105 = 15 (Ω) 1 (c) (total) resistance decreases 1 (so) current increases 1 [7] 4 (a) 35 an answer with more than 2 sig figs that rounds to 35 gains 2 marks allow 2 marks for correct method, ie allow 1 mark for I = 6.5 (A) or R = an answer 8.8 gains 2 marks an answer with more than 2 sig figs that rounds to 8.8 gains 1 mark 3 Page 18 of 26 (b) (maximum) current exceeds maximum safe current for a 2.5 mm2 wire accept power exceeds maximum safe power for a 2.5 mm2 wire or (maximum) current exceeds 20 (A) (maximum) current = 26 (A) is insufficient 1 a 2.5 mm2 wire would overheat / melt accept socket for wire do not accept plug for wire 1 (c) a.c. is constantly changing direction accept a.c. flows in two directions accept a.c. changes direction a.c. travels in different directions is insufficient 1 d.c. flows in one direction only 1 [7] Page 19 of 26 5 (a) allow 1 mark for each correct line if more than one line is drawn from any symbol then all of those lines are wrong 3 (b) (i) half 1 (ii) 3(V) 1 (iii) V1 1 (c) (i) potential difference / voltage of the power supply accept the power supply accept the voltage / volts accept number of cells / batteries accept (same) cells / batteries do not accept same ammeter / switch / wires 1 (ii) bar drawn – height 1.(00)A ignore width of bar allow 1 mark for bar shorter than 3rd bar 2 (iii) as the number of resistors increases the current decreases 1 [10] 6 (a) filament bulb 1 Page 20 of 26 (b) (i) 6V 1 (ii) 3 Ω or their correctly calculated allow 1 mark for correct substitution ie 6=2×R or their (i) = 2 × R 2 (iii) 1A 1 (iv) 6 Ω or their (i) / their (iii) correctly calculated 1 (v) Decrease Stay the same Increase 1 1 1 [9] 7 (a) 3rd box from the left ticked 1 (b) correct symbol drawn in series with other components symbol must have upper case A 1 (c) (i) 9 + 3 = 12V reason only scores if this mark scored 1 pd of battery is shared between the variable resistor and fixed resistor accept V1 + V2 = pd of the battery accept p.d. is shared in a series circuit accept voltage for p.d. 1 Page 21 of 26 (ii) 600 reason only scores if this mark scored 1 p.d. of supply shared equally when resistors have the same value or ratio of the p.d. is the same as the ratio of the resistance 1 (iii) 0.015 or their (c)(i) ÷ (their (c)(ii) + 200) correctly calculated allow 2 marks for correct substitution ie 12 = I × 800 or their (c)(i) = I × (their (c)(ii) + 200) allow 1 mark for total resistance = 800 (Ω) or their (c)(ii) + 200 or allow 1 mark for a substitution of 12 = I × 200 or their (c)(i) = I × 200 or alternative method using the graph V = 3 V (1) 3 = I × 200 (1) 3 [9] Page 22 of 26 Examiner reports 1 (a) Only about one third of the students scored this mark. A common incorrect answer was '40'. (b) Again only about one third of the students scored this mark. The most common answer was '60'. (c) (i) A significant number of the students did not attempt this question. About one third of the students scored the mark. (ii) About a third of the students knew the potential difference would equal that of the supply and so scored the mark. (iii) There were relatively few students who answered in terms of independent circuits i.e. if one bulb goes out the other is unaffected. Those students who mentioned increased brightness or increased power were successful. The majority of students attempted to answer in terms of increased p.d. or current; or referred to p.d. or current being the same for each bulb. Those who stated that both bulbs had the same brightness failed to appreciate that this would also be true in a series circuit. Few students scored this mark. (d) Over half of the students scored zero. There were too many students thinking that a light fitting without an earth wire is safe because of the perceived dangers caused by an earth wire. Others suggested that the neutral wire acted as an earth wire in this instance. Many students had the idea of plastic being an insulator, although a surprising number stated it is a conductor. It was relatively rare to see an unambiguous statement that the outside case of the fitting is made of plastic. Some students were distracted by the insulation on the individual wires. (e) A significant number of students did not attempt this question. Of those that did, few scored the mark; the reference to a circuit breaker was rarely seen. A large number of the students failed to read the question and gave 'fuse' as their answer. Other common incorrect answers were insulation tape, plastic sockets, crocodile clips and plastic-covered wires. Page 23 of 26 2 (a) (b) 4 (i) Most students gave the correct answer. Erroneous responses usually involved dividing by 1.5. (ii) Nearly three quarters of students scored this mark. (iii) Nearly two thirds of students scored this mark. Incorrect responses were spread equally between the other components joined in series. (i) Nearly all students now know what an anomalous result is and so scored this mark. (ii) Just under half of students realised that the most likely reason for the anomalous result was a misreading of the ammeter. (iii) Many students clearly did not understand what was meant by the term ‘interval’. Most students interpreted it as the range of p.d.’s or as the number of small squares on the graph paper between readings or as the p.d. represented by the size of a small square on the graph paper. Many students gave descriptions of what happened to the current as the p.d. was changed. (c) This was well answered with a variety of acceptable phrases. Most students described an increase in p.d. leading to an increase in the current. Some students went for a positive correlation, with a few students giving directly proportional. Those students who tried to answer in terms of numerical values were less successful as they often failed to read the current scale correctly. (a) The correct answer of 35 was rarely given; 8.8 as the resistance for all 4 heating elements was the most common answer. A number of students then incorrectly divided by 4 to find the resistance of a single heating element. These students usually gained a single mark for dividing the p.d. of 230 V by the current of 26 A. The concept of significant figures is still not well understood with very few students scoring full marks. (b) Very few students scored both marks, however half of students did score one mark. Most answers lacked detail and some made reference to potential difference rather than current. Several students confused current and p.d, writing that 230 V was too high for the wire. Surprisingly few students scored the mark for overheating with many references to plugs / things blowing up and fuses melting rather than the wire. (c) Nearly half of students gained both marks. For direct current, frequent incorrect answers included: ‘the current goes straight to the device’, or ‘straight to the source with no wires’, ‘direct current travels in straight lines’. With regard to alternating current incorrect answers seen frequently included ‘alternating current goes up and down’, ‘only flows in a parallel circuit’ or ‘goes in many directions.’ Page 24 of 26 5 (a) This was well answered with three fifths of the students scoring all three marks. There seemed no real pattern to the errors that were made. (b) (i) Just over three fifths of the students scored this mark. (ii) Only just over half of the students were able to correctly add the potential differences of the two cells. Many of the incorrect answers resulted from the students multiplying the potential differences together. (iii) Nearly three fifths of the students scored this mark. (i) Only about a third of the students scored this mark. Many students failed to realise that the bar graph indicated both the number of resistors and current had changed and gave either of these quantities as the answer. Using the same ammeter was another common incorrect answer. A minority of students stated that the control variable does not change without actually identifying a control variable. (ii) A majority of the students could see the pattern of reducing current and scored one mark for drawing a bar of reduced height. About a fifth of the students were able to score the second mark by accurately drawing this bar at the value of 1.0 amps. (iii) Over four fifths of the students were able to express an answer in terms of ‘as the number of resistors increases, the current decreases’. Common errors were to have the two functions both increasing or both decreasing. Other unacceptable answers were that the number of resistors changed or affected the current without writing in which direction the change would be. (c) 6 7 (a) More than three-quarters of students correctly identified the component as the filament bulb. (b) (i) Around two-thirds of students gave the correct answer of 6 V. Of those who gave an incorrect answer, many divided the supply voltage by 2 to give 3 V. (ii) Most students gained both marks. (iii) Most students were able to gain this mark. (iv) Again, this question was also answered well, with over three-quarters scoring the mark. (v) Around half of the students scored two or three of the three available marks. The most common error was to think that the potential difference across X would change. (a) Surprisingly less than half of the students answered this correctly. (b) Over two thirds of students answered this correctly. The symbol was almost universally known. Some students added more than one ammeter but gained credit provided all were correct. There were a number of students who connected the ammeter across the two voltmeters. (c) (i) Only a fifth of the students scored both marks. A significant number of the students explained a choice of 6V by stating that (potential) difference means subtract so 9V – 3V = 6V. Page 25 of 26 (ii) A third of the students scored 1 mark for an answer of 600, but failed to explain the reason successfully for the second mark. The most popular response simply referred to the two lines meeting at 600. (iii) Very few students showed evidence of total resistance of 800 or their (c)(ii) + 200. Many scored 1 mark for their (c)(i) (usually 6) divided by 200. There were, however, a significant number who gave the correct answer, despite not choosing 12V for (c)(i). providing evidence that many students were using the graph to answer this part of the question. Page 26 of 26
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