Fleming's Left Hand Rule (AQA A Level Physics): Revision Note

Exam code: 7408

Katie M

Written by: Katie M

Reviewed by: Tim

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Understand this topic with deeper explanations and understanding checks.

Direction of force on a current-carrying conductor

  • When a current-carrying conductor is placed in a magnetic field, the force, B-field and current are all mutually perpendicular to each other

    • Their directions can be determined using Fleming’s left-hand rule

  • To use Fleming's left-hand rule, point the thumb, first finger and second finger at right angles to each other

    • The thumb points in the direction of motion or force F of the conductor

    • The first finger points in the direction of the applied magnetic field B

    • The second finger points in the direction of the flow of conventional current I (from positive to negative)

A left hand with the thumb pointing upwards for motion/force (F), first finger points right for magnetic field (B), and second finger points downwards-right for current (I).
Fleming's left-hand rule shows the 3D arrangement of the force, magnetic field and current

Representing magnetic fields in 3D

  • When solving problems in three-dimensional space, the current, force or magnetic field could be directed into or out of the page

  • When the magnetic field is directed into or out of the page, the following symbols are used:

    • Dots (sometimes with a circle around them) represent the magnetic field directed out of the plane of the page

    • Crosses represent the magnetic field directed into the plane of the page

Two regions of magnetic field, one drawn with nine circled dots on the left representing arrow tips and a magnetic field out of the page, and one drawn with nine crosses on the right representing arrow feathers and a magnetic field into the page.
A magnetic field directed out of the page is shown with dots, and one directed into the page is shown with crosses
  • The way to remember this is by imagining an arrow used in archery or darts:

    • If the arrow is approaching head-on, such as out of a page, only the very tip of the arrow can be seen (a dot)

    • When the arrow is receding away, such as into a page, only the cross of the feathers at the back can be seen (a cross)

Worked Example

When a current-carrying wire is placed in a magnetic field, a force acts on it, as shown in the diagram.

State the direction of the current flowing in the wire.

A horizontal current-carrying wire in a magnetic field shown by crosses. A downward arrow labelled F indicates the force acting on the wire.

[1]

Answer:

  • Using Fleming’s left-hand rule:

    • Magnetic field, B = into the page

    • Force, F = vertically downwards

    • Current, I = from right to left [1 mark]

A horizontal current-carrying wire in a magnetic field shown by crosses. A downward arrow labelled F indicates the force acting on the wire. A green B label points to crosses representing a magnetic field into the page. A green arrow shows current I to the left.

Examiner Tips and Tricks

Don’t be afraid to use Fleming’s left-hand rule during an exam. Although, it is best to do it subtly in order not to give the answer away to other students.

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Katie M

Author: Katie M

Expertise: Curriculum Expert

Katie has always been passionate about the sciences, and completed a degree in Astrophysics at Sheffield University. She decided that she wanted to inspire other young people, so moved to Bristol to complete a PGCE in Secondary Science. She particularly loves creating fun and absorbing materials to help students achieve their exam potential.

Tim

Reviewer: Tim

Expertise: Content Creator

Timothy graduated with a first class degree in Mathematics and Physics from the University of Warwick. After working as a postgraduate researcher, Timothy has worked as a content creator for various online revision platforms, creating physics resources for a range of levels and exam boards.