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Relativistic electromagnetism

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Magnetism as a relativistic effect of electricity.

Magnetic force can be seen as the relativistic effect of electric force between moving charges: a wire carrying current has length-contracted charge densities in another frame. E and B mix under boosts.

Worked example

A neutral wire looks charged to a moving charge.

Common mistake

Maxwell's equations are already relativistic.

In more detail

Relativity shows that the magnetic field of a moving charge is a consequence of electric fields seen in a moving frame. Electricity and magnetism are different aspects of one electromagnetic field.

Real-world uses

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Frequently asked questions

Is magnetism a relativistic effect?

Yes, magnetic fields arise from the relative motion of charges in different frames.

What does this unify?

Electric and magnetic fields combine into a single field tensor.

So is magnetism just electricity seen from another frame?

In a sense yes. Relativity shows that electric and magnetic fields are two aspects of one electromagnetic field.

Related topics in Relativity

Relativistic collisions · Particle accelerators and relativity · Mass–energy in nuclear reactions · Tachyons · Equivalence principle · Gravitational time dilation

← All Relativity topics