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Capacitance: AQA A‑Level Physics questions

Every AQA A-Level Physics exam question on 3.7.4 Capacitance, 2016–2025, with its mark scheme and examiner’s report.

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2,714 questions

  1. Q05.1

    June 2025 · Paper 2

    The whole paper ↗
    June 2025 Paper 2, question 05.1: A material used between the plates of a capacitor has a dielectric constant of 7.0 State what is meant by a dielectric constant of 7.0 [1 mark] Figure 3 shows a
  2. Q05.2

    June 2025 · Paper 2

    The whole paper ↗
    June 2025 Paper 2, question 05.2: Determine T using Figure 4. [2 marks] T = s
  3. Q05.3

    June 2025 · Paper 2

    The whole paper ↗
    June 2025 Paper 2, question 05.3: Electronic engineers consider a capacitor to be fully discharged when t = 5T. Calculate = 5 = 0 t T t current when current hen w as a percentage. [2 marks] = 5
  4. Q05.4

    June 2025 · Paper 2

    The whole paper ↗
    June 2025 Paper 2, question 05.4: The capacitor is fully discharged and then the switch is moved from position B to position A as shown in Figure 3. Draw, on Figure 5, the variation of the micro
  5. Q17

    June 2025 · Paper 2

    The whole paper ↗
    June 2025 Paper 2, question 17: A parallel-plate capacitor X with the plates separated by air has a capacitance of 100 μF. Another parallel-plate capacitor Y has plates that are double the hei
  6. Q18

    June 2025 · Paper 2

    The whole paper ↗
    June 2025 Paper 2, question 18: A capacitor is initially uncharged and is then charged using a constant current. This is achieved by reducing the resistance of a variable resistor R as the cha
  7. Q02.4

    June 2025 · Paper 3A

    The whole paper ↗
    June 2025 Paper 3A, question 02.4: It can be shown that T = (R1 + 2R2)C ln2 Determine C and R1. [5 marks] C = F R1 = Ω
  8. Q02.5

    June 2025 · Paper 3A

    The whole paper ↗
    June 2025 Paper 3A, question 02.5: The student has access to a range of fixed and variable resistors. The student wants to modify the circuit in Figure 3 so that T can be varied continuously from
  9. Q02.1

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 02.1: The switch is closed at time t = 0 and the potential difference VC across C is recorded at different times t. Figure 2 shows the variation of VC with t. Figure
  10. Q02.2

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 02.2: The potential difference VR across R is also recorded. Figure 3 shows the variation of VR with t between t = 20 s and t = 45 s. Figure 3 The capacitance of C is
  11. Q02.3

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 02.3: The current I0 at time t = 0 is 3.6 × 10−5 A. Determine the time at which VC is 6.0 V. [3 marks] time = s
  12. Q02.4

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 02.4: Figure 4 shows two fully charged parallel-plate capacitors C1 and C2 in a circuit. A dielectric fills the space between the plates of C1 and air fills the space
  13. Q11

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 11: An air-filled parallel-plate capacitor and a resistor are connected in series across the terminals of a battery. The plates of the capacitor are then moved furt
  14. Q24

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 24: Which is equal to ε0? [1 mark] A the relative permittivity of a vacuum B the charge stored on a capacitor consisting of two parallel plates of area 1 m2 separat
  15. Q05.1

    June 2023 · Paper 2

    The whole paper ↗
    June 2023 Paper 2, question 05.1: Show that the time taken for the capacitor to charge from 2.0 V to 4.0 V is approximately 0.7R1C. [3 marks]
  16. Q05.2

    June 2023 · Paper 2

    The whole paper ↗
    June 2023 Paper 2, question 05.2: Show that the capacitance of the capacitor is about 1 × 10−4 F. [4 marks]
  17. Q05.3

    June 2023 · Paper 2

    The whole paper ↗
    June 2023 Paper 2, question 05.3: When the pd reaches 4.0 V the switch is immediately set to discharge the capacitor. When the pd reaches 2.0 V the switch is immediately set to charge the capaci
  18. Q18

    June 2023 · Paper 2

    The whole paper ↗
    June 2023 Paper 2, question 18: A polar molecule is in an external electric field. Which diagram shows the orientation of the polar molecule? [1 mark] A B C D
  19. Q03.3

    June 2022 · Paper 2

    The whole paper ↗
    June 2022 Paper 2, question 03.3: The sphere acts as a capacitor because it stores charge at an electric potential. Show that the capacitance of the sphere is approximately 1 × 10−11 F. [3 marks
  20. Q03.4

    June 2022 · Paper 2

    The whole paper ↗
    June 2022 Paper 2, question 03.4: Electrons leak away from the sphere with time and the amount of energy stored by the sphere decreases. At one instant, the magnitude of the electric potential o
All 77 questions on Capacitance, as a list
  1. June 2025, Paper 2, Q05.1 (1 mark): A material used between the plates of a capacitor has a dielectric constant of 7.0 State what is meant by a dielectric constant of 7.0 [1 mark] Figure 3 shows a
  2. June 2025, Paper 2, Q05.2 (2 marks): Determine T using Figure 4. [2 marks] T = s
  3. June 2025, Paper 2, Q05.3 (2 marks): Electronic engineers consider a capacitor to be fully discharged when t = 5T. Calculate = 5 = 0 t T t current when current hen w as a percentage. [2 marks] = 5
  4. June 2025, Paper 2, Q05.4 (3 marks): The capacitor is fully discharged and then the switch is moved from position B to position A as shown in Figure 3. Draw, on Figure 5, the variation of the micro
  5. June 2025, Paper 2, Q17 (1 mark): A parallel-plate capacitor X with the plates separated by air has a capacitance of 100 μF. Another parallel-plate capacitor Y has plates that are double the hei
  6. June 2025, Paper 2, Q18 (1 mark): A capacitor is initially uncharged and is then charged using a constant current. This is achieved by reducing the resistance of a variable resistor R as the cha
  7. June 2025, Paper 3A, Q02.4 (5 marks): It can be shown that T = (R1 + 2R2)C ln2 Determine C and R1. [5 marks] C = F R1 = Ω
  8. June 2025, Paper 3A, Q02.5 (3 marks): The student has access to a range of fixed and variable resistors. The student wants to modify the circuit in Figure 3 so that T can be varied continuously from
  9. June 2024, Paper 2, Q02.1 (2 marks): The switch is closed at time t = 0 and the potential difference VC across C is recorded at different times t. Figure 2 shows the variation of VC with t. Figure
  10. June 2024, Paper 2, Q02.2 (2 marks): The potential difference VR across R is also recorded. Figure 3 shows the variation of VR with t between t = 20 s and t = 45 s. Figure 3 The capacitance of C is
  11. June 2024, Paper 2, Q02.3 (3 marks): The current I0 at time t = 0 is 3.6 × 10−5 A. Determine the time at which VC is 6.0 V. [3 marks] time = s
  12. June 2024, Paper 2, Q02.4 (2 marks): Figure 4 shows two fully charged parallel-plate capacitors C1 and C2 in a circuit. A dielectric fills the space between the plates of C1 and air fills the space
  13. June 2024, Paper 2, Q11 (1 mark): An air-filled parallel-plate capacitor and a resistor are connected in series across the terminals of a battery. The plates of the capacitor are then moved furt
  14. June 2024, Paper 2, Q24 (1 mark): Which is equal to ε0? [1 mark] A the relative permittivity of a vacuum B the charge stored on a capacitor consisting of two parallel plates of area 1 m2 separat
  15. June 2023, Paper 2, Q05.1 (3 marks): Show that the time taken for the capacitor to charge from 2.0 V to 4.0 V is approximately 0.7R1C. [3 marks]
  16. June 2023, Paper 2, Q05.2 (4 marks): Show that the capacitance of the capacitor is about 1 × 10−4 F. [4 marks]
  17. June 2023, Paper 2, Q05.3 (3 marks): When the pd reaches 4.0 V the switch is immediately set to discharge the capacitor. When the pd reaches 2.0 V the switch is immediately set to charge the capaci
  18. June 2023, Paper 2, Q18 (1 mark): A polar molecule is in an external electric field. Which diagram shows the orientation of the polar molecule? [1 mark] A B C D
  19. June 2022, Paper 2, Q03.3 (3 marks): The sphere acts as a capacitor because it stores charge at an electric potential. Show that the capacitance of the sphere is approximately 1 × 10−11 F. [3 marks
  20. June 2022, Paper 2, Q03.4 (3 marks): Electrons leak away from the sphere with time and the amount of energy stored by the sphere decreases. At one instant, the magnitude of the electric potential o
  21. June 2022, Paper 2, Q17 (1 mark): A switch S allows capacitor C to be completely charged by a cell and then completely discharged through an ammeter. The emf of the cell is 4.0 V and it has negl
  22. June 2022, Paper 2, Q18 (1 mark): A 30 μF capacitor is charged by connecting it to a battery of emf 4.0 V. The initial charge on the capacitor is Q0. The capacitor is then discharged through a 5
  23. June 2022, Paper 2, Q19 (1 mark): Capacitor X of capacitance C has square plates of side length l and separation d and is made with a dielectric of relative permittivity . Capacitor Y has square
  24. June 2022, Paper 2, Q20 (1 mark): A parallel plate capacitor is connected across a battery and the energy stored in the capacitor is E. Without disconnecting the battery, the separation of the p
  25. June 2022, Paper 2, Q21 (1 mark): A fully charged capacitor of capacitance 2.0 mF discharges through a 15 kΩ resistor. What fraction of the stored energy remains after 1.0 minute? [1 mark] A 1 4
  26. November 2021, Paper 2, Q01.1 (1 mark): Explain what is meant by a dielectric constant of 6.0 [1 mark]
  27. November 2021, Paper 2, Q01.2 (3 marks): Mica is made up of polar molecules. As the mica is inserted, the capacitance of the capacitor changes. Explain how the polar molecules cause this change in capa
  28. November 2021, Paper 2, Q01.3 (3 marks): Calculate the difference between the initial energy stored by the capacitor and the energy stored when the mica has been fully inserted. [3 marks] energy differ
  29. November 2021, Paper 2, Q01.4 (2 marks): Sketch a graph on Figure 2 to show how the capacitance C varies with θ as the spindle is turned through 360°. When θ is 0°, the plates completely overlap. [2 ma
  30. November 2021, Paper 2, Q01.5 (3 marks): In one situation, the variable capacitor is too large for the available space. The same maximum capacitance is required using plates that have half the diameter
  31. November 2021, Paper 2, Q20 (1 mark): The capacitor in the circuit is initially uncharged. The switch is closed at time t = 0 Which pair of graphs shows how the potential difference V across the cap
  32. November 2021, Paper 3A, Q03.4 (1 mark): Show that the time constant for the discharge circuit is about 17 s. [1 mark]
  33. November 2021, Paper 3A, Q03.5 (4 marks): The student thinks that the time constant of the circuit in Figure 7 is directly proportional to the range of the meter. To test her theory, she repeats the exp
  34. November 2021, Paper 3A, Q03.6 (4 marks): Suggest two reasons why the student selected the values of V shown in Table 2. Explain each of your answers. [4 marks] 1 2
  35. November 2021, Paper 3A, Q03.7 (3 marks): Show, using Figure 8, that the resistance of the voltmeter is about 16 kΩ. [3 marks]
  36. November 2021, Paper 3A, Q03.8 (2 marks): Determine the current in the voltmeter at t = 10 s. [2 marks] current = A
  37. November 2020, Paper 2, Q04.5 (3 marks): Figure 9 shows the arrangement with the square-wave generator connected to an RC circuit. A capacitor C is placed in series with the resistor R. The oscilloscop
  38. November 2020, Paper 2, Q04.6 (2 marks): State and explain a change to one control setting on the oscilloscope that would reduce the uncertainty in the value of the time constant. [2 marks]
  39. November 2020, Paper 2, Q19 (1 mark): An uncharged capacitor is connected to a power supply which supplies a constant current of 10 μA. After 100 ms, the potential difference across the capacitor is
  40. November 2020, Paper 2, Q20 (1 mark): When a parallel-plate capacitor is connected across a battery, the energy stored in the capacitor is W. The battery remains connected as the distance between th
  41. November 2020, Paper 2, Q21 (1 mark): A parallel-plate capacitor is made using a sheet of dielectric material between, and in contact with, two plates. The properties of four sheets of dielectric ma
  42. November 2020, Paper 2, Q22 (1 mark): A 10 μF capacitor stores 4.5 mJ of energy. It then discharges through a 25 Ω resistor. What is the maximum current during the discharge of the capacitor? [1 mar
  43. June 2019, Paper 2, Q19 (1 mark): A parallel-plate capacitor is made by inserting a sheet of dielectric material between two plates. Both plates are in contact with the sheet. Which relative per
  44. June 2019, Paper 2, Q20 (1 mark): A 1.0 µF capacitor is charged for 20 s using a constant current of 10 µA. What is the energy transferred to the capacitor? [1 mark] A 5.0 × 10–3 J B 1.0 × 10–2
  45. June 2019, Paper 2, Q21 (1 mark): A 1.0 µF capacitor initially stores 15 µC of charge. It then discharges through a 25 Ω resistor. What is the maximum current during the discharge of the capacit
  46. June 2019, Paper 2, Q22 (1 mark): The initial potential difference across a capacitor is V0. The capacitor discharges through a circuit of time constant T. The base of natural logarithms is e. W
  47. June 2018, Paper 2, Q03.1 (2 marks): State what is meant by a capacitance of 370 µF [2 marks]
  48. June 2018, Paper 2, Q03.2 (1 mark): The charging of a 370 µF capacitor is investigated using the circuit shown in Figure 4. Both meters in the circuit are ideal. Figure 4 The power supply of emf 9
  49. June 2018, Paper 2, Q03.3 (2 marks): Identify, with the symbol X on Figure 5, the potential difference (pd) across the capacitor when the switch has been closed for 2.0 s Sketch the graph that show
  50. June 2018, Paper 2, Q03.4 (1 mark): Calculate the time taken for the charging current to fall to half its initial value. [1 mark] time = s
  51. June 2018, Paper 2, Q03.5 (3 marks): Calculate the time taken for the charge on the capacitor to reach 3.0 mC [3 marks] time = s
  52. June 2018, Paper 2, Q23 (1 mark): An air-filled parallel-plate capacitor is charged from a source of emf. The electric field has a strength E between the plates. The capacitor is disconnected fr
  53. June 2018, Paper 2, Q24 (1 mark): A parallel-plate capacitor has square plates of length l separated by distance d and is filled with a dielectric. A second capacitor has square plates of length
  54. June 2018, Paper 2, Q25 (1 mark): The graph shows the variation of potential difference (pd) with charge for a capacitor while it is charging. Which statement can be deduced from the graph? [1 m
  55. June 2017, Paper 2, Q18 (1 mark): A parallel-plate capacitor is fully charged and then disconnected from the power supply. A dielectric is then inserted between the plates. Which row correctly i
  56. June 2017, Paper 2, Q19 (1 mark): A capacitor of capacitance C has a charge of Q stored on the plates. The potential difference between the plates is doubled. What is the change in the energy st
  57. June 2017, Paper 2, Q20 (1 mark): A capacitor consists of two parallel square plates of side l separated by distance d. The capacitance of the arrangement is C. What is the capacitance of a capa
  58. June 2017, Paper 2, Q21 (1 mark): A capacitor of capacitance 120 µF is charged and then discharged through a 20 kΩ resistor. What fraction of the original charge remains on the capacitor 4.8 s a
  59. June 2017, Paper 3A, Q02.3 (2 marks): Figure 9 shows the signal generator connected in series with a resistor R and a capacitor C. Figure 9 The oscilloscope is connected across the capacitor. The Y-
  60. June 2017, Paper 3A, Q02.4 (3 marks): A student suggests that setting the time-base to 0.2 ms division–1 might reduce uncertainty in the determination of the time constant. State and explain any pos
  61. June 2017, Paper 3A, Q02.5 (2 marks): The student connects an identical resistor in parallel with R and uses the oscilloscope to display the waveform across C. Draw on Figure 11 the waveform you exp
  62. June 2017, Paper 3A, Q02.6 (2 marks): Figure 12a is a graph of voltage against time showing the output of the signal generator. Figure 12b shows the voltage across C during the same time interval. T
  63. June 2017, Paper 3A, Q02.7 (2 marks): State and explain what changes, if any, the student needs to make to the settings of the oscilloscope so the waveform across R is fully displayed. [2 marks]
  64. Specimen, Paper 2, Q02.1 (2 marks): Figure 2 shows a capacitor of capacitance 370 pF. It consists of two parallel metal plates of area 250 cm2. A sheet of polythene that has a relative permittivit
  65. Specimen, Paper 2, Q02.2 (2 marks): Figure 2 shows a capacitor of capacitance 370 pF. It consists of two parallel metal plates of area 250 cm2. A sheet of polythene that has a relative permittivit
  66. Specimen, Paper 2, Q02.3 (2 marks): Figure 2 shows a capacitor of capacitance 370 pF. It consists of two parallel metal plates of area 250 cm2. A sheet of polythene that has a relative permittivit
  67. Specimen, Paper 2, Q02.4 (2 marks): Figure 2 shows a capacitor of capacitance 370 pF. It consists of two parallel metal plates of area 250 cm2. A sheet of polythene that has a relative permittivit
  68. Specimen, Paper 2, Q16 (1 mark): Which of the following statements about a parallel plate capacitor is incorrect? [1 mark] A The capacitance of the capacitor is the amount of charge stored by t
  69. Specimen, Paper 2, Q17 (1 mark): A voltage sensor and a datalogger are used to record the discharge of a 10 mF capacitor in series with a 500 Ω resistor from an initial pd of 6.0 V. The datalog
  70. Specimen, Paper 3A, Q02.1 (1 mark): This question is about capacitor charging and discharging. A student designs an experiment to charge a capacitor using a constant current. Figure 3 shows the ci
  71. Specimen, Paper 3A, Q02.2 (1 mark): This question is about capacitor charging and discharging. A student designs an experiment to charge a capacitor using a constant current. Figure 3 shows the ci
  72. Specimen, Paper 3A, Q02.3 (2 marks): This question is about capacitor charging and discharging. A student designs an experiment to charge a capacitor using a constant current. Figure 3 shows the ci
  73. Specimen, Paper 3A, Q02.4 (1 mark): This question is about capacitor charging and discharging. A student designs an experiment to charge a capacitor using a constant current. Figure 3 shows the ci
  74. Specimen, Paper 3A, Q02.5 (3 marks): This question is about capacitor charging and discharging. A student designs an experiment to charge a capacitor using a constant current. Figure 3 shows the ci
  75. Specimen, Paper 3A, Q02.6 (2 marks): This question is about capacitor charging and discharging. A student designs an experiment to charge a capacitor using a constant current. Figure 3 shows the ci
  76. Specimen, Paper 3A, Q02.7: This question is about capacitor charging and discharging. A student designs an experiment to charge a capacitor using a constant current. Figure 3 shows the ci
  77. Specimen, Paper 3A, Q02.8 (4 marks): This question is about capacitor charging and discharging. A student designs an experiment to charge a capacitor using a constant current. Figure 3 shows the ci

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