Michael Faraday · Science

Lines of Force: The Field Idea

Faraday’s greatest conceptual gift: the <em>field</em>. Against ‘action at a distance,’ he held that the space around magnets and charges is filled with real lines of force - and that the physics lives there, in the space between things.

From the lesson

Newton’s gravity, and the electric and magnetic forces of Faraday’s day, were all pictured the same way: as action at a distance. Two magnets, or the Sun and the Earth, simply pulled on each other across the intervening space, instantaneously, with nothing happening in between. The space between was empty, a mere gap. To most physicists this was unproblematic - the mathematics of inverse-square forces worked beautifully. But it troubled Faraday deeply. How can a body act where it is not? How can a force leap across a void with nothing to carry it? Scatter iron filings around a magnet and you see them arrange themselves into graceful curved lines threading the whole surrounding space. To Faraday those lines were not a pretty accident; they were a picture of something physically real filling the space - and the space, not the magnet alone, was where the action was.

Faraday made his lines of force do real work. Their direction at any point is the way a tiny compass needle would point; their density, how crowded they are, shows the strength of the force. Where the lines bunch together, near the poles, the field is strong; where they spread apart it is weak. A current-carrying wire is wrapped in circular lines; a bar magnet’s lines loop from pole to pole. Crucially, Faraday argued the lines cannot cross, and that they behave as if they repel one another sideways and are stretched taut lengthwise, like elastic bands under tension - which is why like poles push apart (their lines crowd and resist) and unlike poles pull together (their lines shorten and pull taut). This let him predict and explain electromagnetic behaviour by drawing and reasoning about lines, with no equations at all. The field had become a thing he could see, think with, and manipulate.

Out of the lines of force grew the single most important idea in classical physics after Newton: the field. A field is a physical quantity that has a value at every point in space, a condition of space itself, which can store energy, take time to change, and carry influence from place to place. Faraday’s insistence that electric and magnetic effects are states of the space around charges and magnets, propagated from point to point, is the field concept in embryo. He even suspected these propagations take time - that a change in a magnet is not felt instantly far away but travels outward at some finite speed. This was the seed from which grew Maxwell’s electromagnetic field, the prediction of electromagnetic waves, radio, and ultimately Einstein’s fields of relativity. The whole of modern physics is written in the language of fields - and it was a bookbinder’s apprentice with no mathematics who first insisted the empty space was full.

This is the opening of the lesson. The rest — the dialogue, the primary source, and the recall — is in the app.

What you'll be able to recall

You learned that Faraday rejected action at a distance in favour of lines of force filling the space around magnets and charges - a real, energy-carrying field - and that this became the central idea of modern physics and the gift he handed Maxwell. Explain the field idea and why curved lines of force pointed to its r…

Leads to James Clerk Maxwell.

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