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Magnetic Field Due to an Electric Current

Simple Explanation

Any electric current produces a magnetic field around it β€” this is the magnetic effect of current, discovered by Oersted. For a straight current-carrying wire, the field forms concentric circles around the wire; the direction is found using the right-hand grip rule.

Why Do We Need It?

This discovery revealed a deep connection between electricity and magnetism, and is the working principle behind electric motors, generators, and countless other electromagnetic devices.

Why Does This Work?

Moving electric charges (current) create a magnetic field as a fundamental consequence of how electric and magnetic phenomena are related (formally described by Maxwell's equations) β€” a steady current in a straight wire produces a magnetic field whose strength decreases with distance from the wire and whose direction circles the wire according to the right-hand grip rule.

Real-Life Example

Oersted's discovery with a compass

Oersted noticed a nearby compass needle deflected whenever current flowed through a wire.

This accidental observation was the first direct evidence that electric current produces a magnetic field β€” the compass needle, sensitive to magnetic fields, responded to the field created by the current-carrying wire, launching the field of electromagnetism.

Practice

What shape does the magnetic field take around a long, straight current-carrying wire?

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Common mistake

Thinking only permanent magnets can produce magnetic fields β€” ANY moving electric charge (i.e. any current) produces a magnetic field, whether or not any traditional magnet is involved.

Quick Review

  • Any electric current produces a surrounding magnetic field.
  • For a straight wire, the field forms concentric circles (right-hand grip rule).
  • Oersted's compass experiment first demonstrated this electricity-magnetism connection.