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Moving charges in a magnetic field: AQA A‑Level Physics questions

AQA A-Level Physics past-paper questions on 3.7.5.2 Moving charges in a magnetic field, 2008–2025, with mark schemes and examiner’s reports where available.

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4,856 questions

  1. Q06.2

    June 2025 · Paper 2

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  3. Q16

    June 2024 · Paper 2

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  4. Q21

    June 2023 · Paper 2

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  5. Q14

    June 2022 · Paper 2

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  6. Q05.1

    November 2021 · Paper 2

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  7. Q05.2

    November 2021 · Paper 2

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  8. Q05.3

    November 2021 · Paper 2

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  9. Q05.4

    November 2021 · Paper 2

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  12. Q03.3

    November 2020 · Paper 2

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  13. Q03.4

    November 2020 · Paper 2

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  14. Q13

    June 2019 · Paper 2

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  15. Q26

    June 2018 · Paper 2

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  16. Q03.1

    June 2017 · Paper 2

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  17. Q03.2

    June 2017 · Paper 2

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  18. Q03.3

    June 2017 · Paper 2

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  19. Q19

    Specimen · Paper 2

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  20. Q22

    June 2015 · PHYA4 Section A (old spec)

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All 58 questions on Moving charges in a magnetic field, as a list
  1. June 2025, Paper 2, Q06.2 (1 mark): Draw an arrow on Figure 7 to show the direction of this magnetic field. [1 mark]
  2. June 2025, Paper 2, Q06.3 (3 marks): The ion moves with a speed of 74.2 km s−1 in a circle of radius 4.22 × 108 m. Calculate the magnitude of the magnetic flux density required for this motion. Sta
  3. June 2024, Paper 2, Q16 (1 mark): An electron enters a uniform magnetic field at right angles to the field. The flux density of the field is B. The electron moves with a non-relativistic speed v
  4. June 2023, Paper 2, Q21 (1 mark): A beam consists of ionised atoms of two isotopes of an element. When the beam enters a uniform magnetic field, the ions move in circular paths. The ions have th
  5. June 2022, Paper 2, Q14 (1 mark): When an electron moves at a speed v perpendicular to a uniform magnetic field of flux density B, the radius of its path is R. A second electron moves at a speed
  6. November 2021, Paper 2, Q05.1 (2 marks): Explain why the proton travels in a semicircular path in a dee. [2 marks]
  7. November 2021, Paper 2, Q05.2 (1 mark): The peak pd of the alternating supply is 10.0 kV. The proton leaves the cyclotron with kinetic energy of 14 MeV. Determine the number of times the proton moves
  8. November 2021, Paper 2, Q05.3 (3 marks): Show that Ek is given by 2 2 2 k p 2 e B R E m = [3 marks]
  9. November 2021, Paper 2, Q05.4 (4 marks): A hospital decides to purchase a cyclotron in order to manufacture its own radioactive isotopes using high-speed protons. The required minimum kinetic energy of
  10. November 2020, Paper 2, Q03.1 (1 mark): The positive lithium ion A in Figure 3 moves at a speed v. Draw two labelled arrows on Figure 3 to show the directions of the electric force FE and the magnetic
  11. November 2020, Paper 2, Q03.2 (2 marks): Lithium ions travelling at 1.5 × 105 m s−1 pass through the small aperture. Calculate E. B = 0.12 T [2 marks] E = V m−1
  12. November 2020, Paper 2, Q03.3 (1 mark): Ions that pass through the small aperture enter a second uniform magnetic field of flux density B. Ions of different mass are separated because they follow diff
  13. November 2020, Paper 2, Q03.4 (2 marks): The ions of different mass are deflected and strike the detector surface at different distances from the small aperture as shown in Figure 4. A singly-charged l
  14. June 2019, Paper 2, Q13 (1 mark): When an electron is moving at a speed v perpendicular to a uniform magnetic field of flux density B, it follows a path of radius R. A second electron moves at a
  15. June 2018, Paper 2, Q26 (1 mark): Different magnetic fields are present in the two chambers shown. A particle enters the first chamber at a velocity of 80 m s–1 and is deflected into a circular
  16. June 2017, Paper 2, Q03.1 (1 mark): Explain why it is not possible for the magnetic field to alter the speed of a proton while it is in one of the D-shaped regions. [1 mark]
  17. June 2017, Paper 2, Q03.2 (3 marks): Derive an expression to show that the time taken by a proton to travel round one semi-circular path is independent of the radius of the path. [3 marks]
  18. June 2017, Paper 2, Q03.3 (2 marks): The maximum radius of the path followed by the proton is 0.55 m and the magnetic flux density of the uniform field is 0.44 T. Ignore any relativistic effects. C
  19. Specimen, Paper 2, Q19 (1 mark): Charged particles, each of mass m and charge Q, travel at a constant speed in a circle of radius r in a uniform magnetic field of flux density B. Which expressi
  20. June 2015, PHYA4 Section A (old spec), Q22 (1 mark): Which one of the following statements is correct? An electron follows a circular path when it is moving at right angles to A a uniform magnetic field. B a unifo
  21. June 2015, PHYA4 Section A (old spec), Q23 (1 mark): Two electrons, X and Y, travel at right angles to a uniform magnetic field. X experiences a magnetic force, FX, and Y experiences a magnetic force, FY. What is
  22. June 2015, PHYA5 Turning points (old spec), Q1(a)(i) (2 marks): Explain why the path followed by the electron beam in the magnetic field is a circular arc. [2 marks]
  23. June 2015, PHYA5 Turning points (old spec), Q1(a)(ii) (1 mark): Show that the speed v of the electrons is given by v = ––– where r is the radius of the path of an electron in the magnetic field and B is the flux density of t
  24. June 2014, PHYA4 Section A (old spec), Q21 (1 mark): The path followed by an electron of momentum p, carrying charge –e, which enters a magnetic field at right angles, is a circular arc of radius r. What would be
  25. June 2014, PHYA4 Section B (old spec), Q2(b)(iii) (2 marks): With a current of 0.38A, the average velocity of an electron in the wire is 5.5 × 10–6ms–1 and the average magnetic force on one electron is 1.4 × 10–25N. Calcu
  26. June 2014, PHYA5 Turning points (old spec), Q3(a)(i) (2 marks): Explain why a magnetic lens deflects the electrons without changing their kinetic energy. [2 marks]
  27. June 2013, PHYA4 Section B (old spec), Q3(a)(i) (2 marks): State two situations in which a charged particle will experience no magnetic force when placed in a magnetic field. first situation second situation
  28. June 2013, PHYA4 Section B (old spec), Q3(a)(ii) (2 marks): A charged particle moves in a circular path when travelling perpendicular to a uniform magnetic field. By considering the force acting on the charged particle,
  29. June 2013, PHYA4 Section B (old spec), Q3(b)(i) (1 mark): State the direction in which the magnetic field should be applied in order for the protons to travel along the semicircular paths inside each of the dees as sho
  30. June 2013, PHYA4 Section B (old spec), Q3(b)(ii) (2 marks): In a particular cyclotron the flux density of the uniform magnetic field is 0.48T. Calculate the speed of a proton when the radius of its path inside the dee is
  31. June 2013, PHYA4 Section B (old spec), Q3(b)(iii) (2 marks): Calculate the time taken for this proton to travel at constant speed in a semicircular path of radius 190mm inside the dee. time s (2 marks)
  32. June 2013, PHYA4 Section B (old spec), Q3(b)(iv) (2 marks): As the protons gain energy, the radius of the path they follow increases steadily, as shown in Figure 2. Show that your answer to part (b)(iii) does not depend
  33. June 2013, PHYA4 Section B (old spec), Q3(c) (3 marks): The protons leave the cyclotron when the radius of their path is equal to the outer radius of the dees. Calculate the maximum kinetic energy, in MeV, of the pro
  34. January 2013, PHYA4 Section A (old spec), Q21 (1 mark): Which line, A to D, in the table correctly describes the trajectory of charged particles which enter separately, at right angles, a uniform electric field, and
  35. June 2012, PHYA4 Section A (old spec), Q21 (1 mark): A beam of positive ions enters a region of uniform magnetic field, causing the beam to change direction as shown in the diagram. What is the direction of the ma
  36. June 2012, PHYA4 Section B (old spec), Q3(a) (4 marks): In the presence of a suitably directed uniform magnetic field, charged particles move at constant speed in a circular path of constant radius. By reference to t
  37. June 2012, PHYA4 Section B (old spec), Q3(b)(ii) (3 marks): Calculate the flux density of the uniform magnetic field that would be required to produce this force. State an appropriate unit. answer = unit (3 marks)
  38. June 2012, PHYA4 Section B (old spec), Q3(c) (2 marks): The speed of the protons gradually increases as their energy is increased by the LHC. State and explain how the magnetic field in the LHC must change as the spe
  39. January 2012, PHYA4 Section A (old spec), Q21 (1 mark): When a β particle moves at right angles through a uniform magnetic field it experiences a force F. An α particle moves at right angles through a magnetic field
  40. January 2012, PHYA4 Section A (old spec), Q22 (1 mark): Charged particles, each of mass m and charge Q, travel at a constant speed in a circle of radius r in a uniform magnetic field of flux density B. Which expressi
  41. June 2011, PHYA4 Section A (old spec), Q21 (1 mark): Two charged particles, P and Q, move in circular orbits in a magnetic field of uniform flux density. The particles have the same charge but the mass of P is les
  42. June 2011, PHYA4 Section B (old spec), Q4(a)(i) (1 mark): State the condition under which this equation applies. (1 mark)
  43. June 2011, PHYA4 Section B (old spec), Q4(a)(ii) (1 mark): Identify the physical quantities that are represented by the four symbols in the equation. F B Q v (1 mark)
  44. June 2011, PHYA4 Section B (old spec), Q4(b)(i) (1 mark): State the direction in which the magnetic field should be applied. (1 mark)
  45. June 2011, PHYA4 Section B (old spec), Q4(b)(ii) (2 marks): Explain why the ions have no overall deflection when a magnetic field of the required strength has been applied. (2 marks)
  46. June 2011, PHYA4 Section B (old spec), Q4(b)(iii) (4 marks): A stream of ions passes between the plates at a velocity of 1.7x105ms–1. The separation d of the plates is 65mm and the pd across them is 48V. Calculate the val
  47. June 2011, PHYA4 Section B (old spec), Q4(c) (2 marks): Explain what would happen to ions with a velocity higher than 1.7x105ms–1 when they pass between the plates at a time when the conditions in part (b)(iii) have
  48. January 2011, PHYA4 Section A (old spec), Q19 (1 mark): A negatively charged particle moves at right angles to a uniform magnetic field. The magnetic force on the particle acts A in the direction of the field. B in t
  49. January 2011, PHYA4 Section A (old spec), Q20 (1 mark): An electron moving with a constant speed enters a uniform magnetic field in a direction perpendicular to the magnetic field. What is the shape of the path that
  50. June 2010, PHYA4 Section A (old spec), Q20 (1 mark): An electron moving with a constant speed enters a uniform magnetic field in a direction at right angles to the field. What is the subsequent path of the electro
  51. June 2010, PHYA4 Section A (old spec), Q21 (1 mark): A jet of air carrying positively charged particles is directed horizontally between the poles of a strong magnet, as shown in the diagram. In which direction ar
  52. June 2010, PHYA4 Section B (old spec), Q4(a) (1 mark): When viewed from vertically above, the electron moves clockwise around the horizontal circle. In which one of the six directions shown on Figure 3, +x, –x, +y,
  53. June 2010, PHYA4 Section B (old spec), Q4(c)(i) (2 marks): By considering the centripetal force acting on the electron, show that its speed is 5.6 × 106ms–1. (2 marks)
  54. June 2010, PHYA5 Turning points (old spec), Q1(b)(i) (3 marks): Explain why the electrons move in a circular path at a constant speed in the magnetic field.
  55. January 2010, PHYA4 Section A (old spec), Q21 (1 mark): A current of 8.0A is passed through a conductor of length 0.40m and cross-sectional area 1.0 × 10–6m2. The conductor contains 8.0 × 1028 free electrons per m3.
  56. January 2010, PHYA4 Section A (old spec), Q22 (1 mark): An electron moves due North in a horizontal plane with uniform speed. It enters a uniform magnetic field directed due South in the same plane. Which one of the
  57. January 2010, PHYA4 Section A (old spec), Q23 (1 mark): Particles of mass m, each carrying charge Q and travelling with speed v, enter a magnetic field of flux density B at right angles. Which one of the following ch
  58. June 2008, PA04A (2008 spec), Q12 (2 marks): 12 An α particle and a β – particle both enter the same uniform magnetic field, which is perpendicular to their direction of motion. If the β – particle has a s

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