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Magnetic pressure

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Fields exert pressure on plasma.

Magnetic fields exert pressure P = B²/2μ₀ and tension along the field lines, important in plasmas and stars. At 1 T the pressure is 4 atm.

Worked example

Tokamaks confine plasma with magnetic pressure.

Common mistake

Sunspots are regions of strong fields.

In more detail

A magnetic field exerts pressure on its boundaries, equal to B²/(2μ0). Strong fields can compress plasmas and support structures such as the magnetic pressure of the Sun's corona.

Real-world uses

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Frequently asked questions

Is magnetic pressure the same as energy density?

Numerically yes, since the pressure equals the energy density for a magnetic field.

Why does it matter for plasmas?

It can balance the pressure of hot plasma and hold it in place.

How can a magnetic field hold a plasma?

The field exerts a pressure that balances the outward pressure of the hot plasma, keeping it confined.

Related topics in Magnetism & Induction

Magnetic field of moving charge · Hall effect and sensors · Magnetic energy density · Lorentz force law · Magnetic shielding

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