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Magnetic field
A region of space around a magnet (or other source) where magnetic forces act on magnetic materials or moving charges.
A steel paperclip is attracted to a magnet, but a plastic ruler is not.
Magnetic field line
A line drawn so that its direction at any point shows the direction a compass needle would point; closer spacing of lines indicates a stronger magnetic field.
A bar magnet placed under paper causes iron filings to gather most densely near the ends.