Forces Between Current-Carrying Conductors (Cambridge (CIE) A Level Physics): Revision Note

Exam code: 9702

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Written by: Ashika

Reviewed by: Caroline Carroll

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Origin of the forces between current-carrying conductors

  • A current-carrying conductor, such as a wire, produces a magnetic field around it

  • The direction of the field depends on the direction of the current through the wire

    • This is determined by the right-hand grip rule

  • Parallel current-carrying conductors will therefore either attract or repel each other

    • If the currents are in the same direction in both conductors, the magnetic field lines between the conductors cancel out – the conductors will attract each other

    • If the currents are in the opposite direction in both conductors, the magnetic field lines between the conductors push each other apart – the conductors will repel each other

Magnetic field lines around two current-carrying wires

20.1 Same or opposite direction current_2

Both wires will attract if their currents are in the same direction and repel if in opposite directions

  • When the conductors attract, the direction of the magnetic forces will be towards each other

  • When the conductors repel, the direction of the magnetic forces will be away from each other

  • The magnitude of each force depend on the amount of current and length of the wire

Worked Example

Two long, straight, current-carrying conductors, WX and YZ, are held at a close distance, as shown in diagram 1.

The conductors each carry the same magnitude current in the same direction. A plan view from above the conductors is shown in diagram 2.

On diagram 2, draw arrows, one in each case, to show the direction of:

  • The magnetic field at X due to the current in wire YZ (label this arrow BYZ)

  • The force at X as a result of the magnetic field due to the current in the wire YZ (label this arrow FYZ)

  • The magnetic field at Y due to the current in wire WX (label this arrow BWX)

  • The force at Y as a result of the magnetic field due to the current in the wire WX (label this arrow FWX)

Answer:

Origin_of_the_Forces_Between_Current-Carrying_Conductors_Worked_example_-_Forces_on_Parallel_Conductor_Answer, downloadable AS & A Level Physics revision notes
  • Newton’s third law states: When two bodies interact, the force on one body is equal but opposite in direction to the force on the other body

  • Therefore, the forces on the wires act in equal but opposite directions

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Ashika

Author: Ashika

Expertise: Physics Content Creator

Ashika graduated with a first-class Physics degree from Manchester University and, having worked as a software engineer, focused on Physics education, creating engaging content to help students across all levels. Now an experienced GCSE and A Level Physics and Maths tutor, Ashika helps to grow and improve our Physics resources.

Caroline Carroll

Reviewer: Caroline Carroll

Expertise: Head of Content Delivery

Caroline graduated from the University of Nottingham with a degree in Chemistry and Molecular Physics. She spent several years working as an Industrial Chemist in the automotive industry before retraining to teach. Caroline has over 12 years of experience teaching GCSE and A-level chemistry and physics. She is passionate about delivering high-quality resources to help students achieve their full potential.