Know that the relative strength of a magnetic field is represented by the spacing of the magnetic field lines

Published by Patrick Mutisya · 14 days ago

IGCSE Physics 0625 – Simple Phenomena of Magnetism

4.1 Simple Phenomena of Magnetism

Objective

Know that the relative strength of a magnetic field is represented by the spacing of the magnetic field lines.

Key Concepts

Magnetic field lines are a visual tool used to illustrate the direction and relative strength of a magnetic field (B). The following points summarise their meaning:

  • Lines emerge from the north pole and enter the south pole of a magnet.
  • The tangent to a field line at any point gives the direction of the magnetic field vector B at that point.
  • The density (spacing) of the lines indicates the relative magnitude of B:

    • Closer (denser) lines → stronger magnetic field.
    • Wider spaced lines → weaker magnetic field.

  • Field lines never cross each other.

Why Spacing Represents Strength

The magnetic field exerts a force on moving charges and magnetic materials. The force is proportional to the field strength:

\$F = q\,\mathbf{v}\times\mathbf{B}\qquad\text{or}\qquad F = m\,\mathbf{B}\$

When the field is stronger, the same test charge or magnetic needle experiences a larger force, causing the field lines to be drawn closer together in diagrams.

Examples of Field Line Spacing

  1. Near the poles of a bar magnet – lines are very close together, indicating a strong field.
  2. Mid‑way between the poles – lines are more spread out, indicating a weaker field.
  3. Inside a solenoid – lines are parallel and densely packed, showing a uniform strong field.
  4. Outside a solenoid – lines spread out, showing the field weakens with distance.

Comparative Table

RegionField‑line spacingRelative field strengthTypical observation
Near north pole of bar magnetVery close (dense)StrongCompass needle aligns quickly
Mid‑point between polesModerate spacingMediumCompass needle shows weaker deflection
Far from magnetWidely spacedWeakCompass needle barely moves
Inside a long solenoidUniformly closeStrong and uniformUniform magnetic force on a moving charge

Suggested Diagram

Suggested diagram: Sketch of a bar magnet showing dense field lines near the poles and sparse lines away from the poles.

Common Misconceptions

  • Thinking that the number of lines drawn is a physical quantity – it is only a convention to illustrate relative strength.
  • Assuming field lines exist as physical objects – they are a representation, not a material.
  • Believing that field strength is the same everywhere around a magnet – spacing clearly shows it varies with position.

Quick Check Questions

  1. If the field lines are drawn twice as close together in a region, how does the magnetic field strength compare to a region where the lines are spaced normally? (Answer: Approximately twice as strong.)
  2. Describe what would happen to a compass needle placed in a region where the field lines are widely spaced.
  3. Explain why the magnetic field inside a solenoid appears uniform.