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Hall effect

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Voltage perpendicular to current in a magnetic field.

Key relationV_H = IB/nqt

A current-carrying conductor in a perpendicular magnetic field develops a transverse voltage V_H = IB/(nqt). It reveals the sign and density of charge carriers and is used in magnetic sensors.

Worked example

In silicon the sign shows n or p type.

Common mistake

Voltage is small in metals.

In more detail

The Hall effect produces a voltage across a conductor carrying current in a magnetic field. The voltage reveals the sign and density of charge carriers.

Real-world uses

Open the interactive lesson, with simulation and quiz →

Frequently asked questions

How does the Hall voltage arise?

Magnetic force pushes charges to one side until an electric field balances it.

Can the Hall effect show carrier sign?

Yes, the direction of the Hall voltage reveals whether carriers are positive or negative.

What is the Hall voltage?

A voltage that appears across a conductor carrying current in a magnetic field, perpendicular to both.

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