Math Playground
Physics

Fields

Gravity, electric, magnetic — how forces reach across empty space.

A field is a quantity defined at every point in space. Gravity, electric force, magnetic force — all act through fields.

Quick check

What is a 'field' in physics?

Field lab — drag the source, follow the field
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Field arrows point away from + and toward −; the dots are tiny positive test charges riding the field. Drag either charge.

Three fields you meet at school

  • Gravitational — every mass makes one; always attractive; strength g = F/m.
  • Electric — charges make one; can attract or repel; strength E = F/q.
  • Magnetic — moving charges make one; acts on other moving charges; strength B in teslas.

Field lines are a drawing trick: closer lines mean a stronger field, and a small test object always feels a force *along* the line through its position.

Why bother with fields?

Newton disliked 'action at a distance' — how does the Sun pull the Earth across empty space? The field idea fixes it: the Sun fills space with a gravitational field, and the Earth responds to the field right where it sits. Electromagnetism and even gravity (general relativity) are field theories.