Magnetic field lines are a visual tool that shows the direction and strength of a magnetic field.
• They always form closed loops.
• They never cross each other.
• The density of lines indicates field strength: the closer the lines, the stronger the field.
A bar magnet has a north (N) and a south (S) pole.
The field lines emerge from the N pole, curve around, and re‑enter at the S pole.
The lines are denser near the poles, showing a stronger field there.
The direction of a field line is the direction a north pole of a test magnet would move if placed in the field.
Mathematically, the field vector \$\mathbf{B}\$ points along the line:
\$\mathbf{B} = B \,\hat{t}\$
where \$\hat{t}\$ is the unit tangent to the line.
Imagine a river flowing around a rock.
• The water (field lines) flows from one side (north) to the other (south).
• Where the rock is close, the water speeds up (lines are closer).
• The water never splits or crosses itself, just like magnetic lines.
🌀 The “rock” is the magnet, and the “water” is the magnetic field.
| Pole | Field Line Direction | Inside Magnet |
|---|---|---|
| North (N) | Outward (→) | N → S (inside) |
| South (S) | Inward (←) | S → N (inside) |