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Drift velocity

Intermediate

Slow average speed of charge carriers.

Key relationI = nAev_d

Electrons in a wire drift slowly: I = nAev_d. In copper v_d is about 0.1 mm/s even for amps of current, yet the signal travels near the speed of light because the field is established everywhere almost at once.

Worked example

1 A in 1 mm² copper: v_d ≈ 0.074 mm/s.

Common mistake

The lamp lights instantly because charges are already present throughout the wire.

In more detail

Drift velocity is the average velocity of electrons moving through a conductor under an electric field. It is typically only about a millimetre per second, even though the signal propagates much faster.

Real-world uses

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Frequently asked questions

Why does the light turn on instantly if electrons drift so slowly?

The electric field spreads through the wire near the speed of light, so all electrons start moving almost at once.

What is the formula?

I = nAvq, where n is the electron density, A the cross-section, v the drift velocity and q the charge.

If electrons move so slowly, why is the bulb instant?

The electric field that drives the current travels at close to the speed of light, so all the electrons start moving almost together.

Related topics in Current Electricity & Circuits

Electric current · Direction of current · Ohm's law · Resistance · Resistivity

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