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Resistance, conductance and I-V graphs: OCR A‑Level Physics B questions

OCR A-Level Physics B past-paper questions on 3.1.2.2 Resistance, conductance and I-V graphs, 2016–2025, with mark schemes and examiner’s reports where available.

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  2. Q7

    June 2025 · Paper 1

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  7. Q2(c)

    June 2024 · Paper 3

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  8. Q21(a)(ii)

    June 2024 · AS Paper 1

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  9. Q26(e)

    June 2024 · AS Paper 1

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  11. Q34(a)

    June 2023 · Paper 1

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  13. Q1(a)(i)

    June 2023 · Paper 3

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  16. Q10

    June 2022 · Paper 1

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  17. Q6

    June 2022 · AS Paper 1

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  19. Q8

    November 2021 · Paper 1

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All 50 questions on Resistance, conductance and I-V graphs, as a list
  1. June 2025, Paper 1, Q6 (1 mark): A number of identical resistors are connected in parallel to a cell of negligible internal resistance. Which graph shows how the power dissipated in the circuit
  2. June 2025, Paper 1, Q7 (1 mark): A network of resistors consists of m parallel branches. Each branch contains n identical resistors of resistance R. What is the total resistance of the network?
  3. June 2024, Paper 1, Q27 (1 mark): The diagram shows seven identical resistors connected in a circuit with a 6 V battery. 6 V P Q R S T Which pair of points has a potential difference of 0.5 V be
  4. June 2024, Paper 2, Q2(d) (3 marks): A student repeats the experiment but does not control the current. This leads to higher current values for shorter lengths of wire. Describe and explain the cha
  5. June 2024, Paper 3, Q2(a) (3 marks): Calculate the conductance of the semiconductor diode when the potential difference = 0.65 ± 0.02 V and the current = 7.5 ± 0.02 mA. Give the uncertainty in your
  6. June 2024, Paper 3, Q2(b) (3 marks): Describe how the circuit could be used to obtain values of current at different emfs in order to plot a graph of I against V. Explain the purpose of the fixed r
  7. June 2024, Paper 3, Q2(c) (2 marks): Sketch on the axes below the shape of the graph you would expect to obtain for both forward and reverse bias. I V 0 [2]
  8. June 2024, AS Paper 1, Q21(a)(ii) (1 mark): Two electrical components with different resistance are connected together so that the same current flows through them both. Complete the sentence. The two comp
  9. June 2024, AS Paper 1, Q26(e) (1 mark): The 22 Ω resistor is replaced with Component X and the experiment is repeated. The sketch graph below shows the p.d. across Component X against current. V 0 0 I
  10. June 2023, Paper 1, Q22 (1 mark): A d.c. power supply is connected to a resistor combination as shown. The ammeter reads 2.0 A. The p.d. across the 3.0 Ω resistor is 6.0 V. d.c. supply 3.0 Ω A 1
  11. June 2023, Paper 1, Q34(a) (1 mark): Show that the resistance of the filament when carrying 2.5 A is 1.6 Ω. [1]
  12. June 2023, Paper 1, Q34(c) (2 marks): Suggest and explain why the conductivity changes as the current through the filament increases. [2]
  13. June 2023, Paper 3, Q1(a)(i) (1 mark): Calculate the current and complete the missing rows in Table 1. [1]
  14. June 2023, AS Paper 1, Q16 (1 mark): Estimate the reading on the ammeter in this circuit. 6 V 100 Ω 47 Ω A 100 Ω A 20 mA B 30 mA C 40 mA D 60 mA Your answer [1]
  15. June 2022, Paper 1, Q5 (1 mark): A student is asked to construct a circuit to investigate the electrical characteristics of a resistor R. Which is the correct circuit? A V A V R R A B A V V A R
  16. June 2022, Paper 1, Q10 (1 mark): The diagram shows a network of four conductors, each with conductance 0.2 S. What is the total conductance of the arrangement? A 0.12 S B 0.27 S C 0.30 S D 0.53
  17. June 2022, AS Paper 1, Q6 (1 mark): Three identical resistors, each of resistance R, are connected in parallel. The resistance of the combination is: A 3R 3 B R R 3 C R D 3 Your answer [1]
  18. June 2022, AS Paper 1, Q21(b) (2 marks): At the start, the resistance of the thermistor is 36 kΩ. Calculate the reading on the meter. reading = mA [2]
  19. November 2021, Paper 1, Q8 (1 mark): The following three statements were made by students to explain the relationship between current I in an ohmic resistor and the p.d. V across it. 1 I is directl
  20. November 2021, Paper 1, Q27 (1 mark): The diagram shows a combination of three resistors connected to a 6.0 V power supply of negligible internal resistance. 6.0 V 300 Ω 100 Ω R A voltmeter connecte
  21. November 2021, AS Paper 1, Q14 (1 mark): What is the total resistance between terminals X and Y? 100 Ω 47 Ω X Y 100 Ω A 47.02 Ω B 97 Ω C 147 Ω D 247 Ω Your answer [1]
  22. November 2020, Paper 1, Q5 (1 mark): the highest conductance? [1] Your answer
  23. November 2020, Paper 1, Q6 (1 mark): a conductance of 0.15 S? [1] Your answer 5 The diagram is for use in questions 7 and 8. The diagram shows a comet in elliptical orbit around a sun. sun A D B co
  24. November 2020, Paper 1, Q24 (1 mark): The potential divider is set to its mid-point with Vout = 6.0 V. A 200 Ω resistance is connected across the output. Which statement about Vout is correct? A It
  25. November 2020, AS Paper 1, Q3 (1 mark): In the diagram below each resistor has resistance 30 Ω. X Y What is the total resistance between X and Y? A 0.1 Ω B 10 Ω C 60 Ω D 90 Ω Your answer [1]
  26. June 2019, Paper 1, Q1 (1 mark): The unit of electrical conductance is the siemens S, 1 S is the same as 1 J C−1 A 1 A V−1 B 1 C V−1 C 1 Ω−1 m−1 D Your answer [1]
  27. June 2019, Paper 1, Q31(a) (1 mark): Calculate the total resistance of the two resistors when in series. total resistance = Ω [1]
  28. June 2019, Paper 1, Q31(b) (1 mark): Calculate the total conductance of the two resistors when in parallel. total conductance = S [1]
  29. June 2019, Paper 2, Q2(c)(i) (1 mark): Using your answer to (b), calculate the current in the circuit. current = A [1]
  30. June 2019, AS Paper 1, Q2 (1 mark): Three identical resistors each of conductance G are connected in parallel. The conductance of the combination is A 3G 3 B G G3 C G D 3 Your answer [1]
  31. June 2019, AS Paper 1, Q3 (1 mark): Which sketch graph shows how the current I in an ohmic resistor varies with the p.d. V across it? I I I I V V V V A B C D Your answer [1]
  32. June 2019, AS Paper 1, Q15 (1 mark): Which combination of resistors gives the lowest overall resistance? 200 Ω 100 Ω 200 Ω 100 Ω 300 Ω 200 Ω 200 Ω 100 Ω A B 200 Ω 100 Ω 100 Ω 400 Ω 400 Ω 300 Ω 100
  33. June 2019, AS Paper 1, Q26(a) (2 marks): Explain why the voltmeter should have a very high resistance. [2] 22 The cell has an e.m.f. of 1.0 V and negligible internal resistance. The wire has a resistan
  34. June 2019, AS Paper 2, Q4(a) (3 marks): The two components are connected, in parallel, between the terminals of a battery of e.m.f. 3.0 V with negligible internal resistance. Calculate the conductance
  35. June 2019, AS Paper 2, Q4(b) (2 marks): A and B are now connected in series to a battery of e.m.f. 6.0 V with negligible internal resistance. Explain why the graph of Fig. 4 shows that the current thr
  36. June 2018, Paper 1, Q8 (1 mark): Which combination of resistors gives the lowest total resistance? A 200 Ω 100 Ω 300 Ω B 300 Ω 400 Ω 100 Ω C 200 Ω 300 Ω 100 Ω D 100 Ω 200 Ω 400 Ω Your answer [1
  37. June 2018, Paper 1, Q40(a) (3 marks): Draw a straight line of best fit on Fig. 40.2 and use it to predict the current in the coil when the motor is not rotating. Use your prediction to calculate the
  38. June 2018, Paper 3, Q1(a)(i) (2 marks): Show that the resistance R of the filament bulb Y in this circuit is approximately 2 Ω. [2] The bulb is broken and the diameter of the filament wire is measured
  39. June 2018, Paper 3, Q1(b) (6 marks): (b)* A new working identical bulb is put in the circuit in Fig. 1. The resistor X is changed to one with a resistance of 6.9 Ω. A student calculates that the vo
  40. June 2017, Paper 1, Q2 (1 mark): The unit of electrical resistance is the ohm Ω. 1 Ω is the same as 1 C V–1 A 1 S–1 B 1 C2 J–1 s–1 C 1 A V–1 D Your answer [1]
  41. June 2017, Paper 1, Q5 (1 mark): What is the resistance between X and Y? A 5 kΩ B 7.5 kΩ C 15 kΩ D 30 kΩ Your answer [1]
  42. June 2017, AS Paper 1, Q20 (1 mark): The resistors below are identical. Each combination is connected in a circuit to a 6 V battery of negligible internal resistance. For which combination is the m
  43. June 2017, AS Paper 1, Q21(b) (2 marks): Explain why I2 is twice as large as I1. �����������������������������������������������������������������������������������������������������������������������
  44. June 2017, AS Paper 1, Q21(c) (2 marks): Show that the total resistance of the circuit is less than 170 Ω. ���������������������������������������������������������������������������������������������
  45. June 2017, AS Paper 2, Q2(b) (2 marks): The conductance of the silicon section, in the direction of current, is 1.7 mS. Calculate the p.d. V2 across the silicon section. V2 = …………………………… V [2]
  46. June 2016, AS Paper 1, Q28(a)(i) (1 mark): State which of the two graphs relates to the diode. Explain your decision. [1]
  47. June 2016, AS Paper 1, Q28(a)(ii) (1 mark): Calculate the resistance of the fixed resistor. resistance = Ω [1]
  48. June 2016, AS Paper 1, Q28(b)(i) (1 mark): Suggest why the diode should not be connected directly across a 1.5 V supply in its conducting direction. [1]
  49. June 2016, AS Paper 1, Q28(b)(ii) (2 marks): The diode and resistor are connected in series across a 1.5 V supply. The diode is connected in its conducting direction. Use Fig. 28.1 to predict the current d
  50. June 2016, AS Paper 1, Q28(c) (4 marks): A sensitive ammeter has a full scale deflection of 100 μA and a resistance of 1000 Ω. The meter remains undamaged for voltages across it of up to 0.6 V. To prot

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