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Magnetic Fields

Forces between current-carrying conductors

  • 3 things to know
  • Component 3

Overview

Recall questions on why two parallel currents attract or repel depending on their directions, the force per unit length equation, how the definition of the ampere follows from it, and worked calculations for two wires a stated distance apart.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

Calculate the force per unit length between two long parallel wires 50 mm apart, each carrying 10 A.

Key term

Why does one current-carrying wire exert a force on another?

Process

Set out the steps for predicting the direction of the force between two current-carrying wires.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Why does one current-carrying wire exert a force on another?

    Model answer

    Each wire produces a magnetic field of its own, and each therefore sits in the field of the other. A current-carrying conductor in a magnetic field feels a force, so each wire is pushed.

  2. 2

    What happens to two long parallel wires carrying current in the same direction?

    Model answer

    They attract one another. The field of each wire at the position of the other, taken with Fleming's left-hand rule, gives a force pointing inwards on both.

  3. 3

    What happens to two long parallel wires carrying currents in opposite directions?

    Model answer

    They repel one another. Reversing one of the currents reverses the force on both wires, turning attraction into repulsion.

  4. 4

    Explain from the field pattern why parallel wires carrying current the same way attract.

    Model answer

    Between the two wires the circular fields run in opposite senses and largely cancel, while beyond the pair they reinforce each other. Each wire is pushed from the region of strong field towards the weaker region between them.

  5. 5

    Set out the steps for predicting the direction of the force between two current-carrying wires.

    Model answer

    Use the right-hand grip rule to find the direction of the field of the first wire at the position of the second. Then apply Fleming's left-hand rule at the second wire using that field and the second current, and repeat with the roles of the wires swapped to confirm the pair of forces.

  6. 6

    State the equation for the force per unit length between two long parallel wires, defining each symbol.

    Model answer

    The force per unit length is F/l = μ₀I₁I₂/(2πd), where I₁ and I₂ are the two currents in A and d is their separation in m. The result is in N m⁻¹.

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