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Particles Velocity Calculator

Calculate particle drift velocity from current, charge carrier density, cross-section area, and charge per carrier.

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What Is Particle Drift Velocity?

In a conductor, charge carriers move slowly on average even when current is large. Drift velocity is the average speed of those carriers along the wire direction. It links macroscopic current to microscopic carrier motion.

Drift Velocity Formula

$$v = \frac{I}{n \, q \, A}$$

Here $I$ is current in amperes, $n$ is carrier number density in m$^{-3}$, $q$ is charge per carrier in coulombs, and $A$ is cross-sectional area in m$^2$. For electrons in copper, $q$ is approximately $1.602 \times 10^{-19}$ C.

Why Drift Velocity Is Small

Copper has an enormous carrier density near $8.5 \times 10^{28}$ m$^{-3}$. Even at several amperes through a thin wire, the average drift speed is typically less than 1 mm/s. Individual electrons move much faster between collisions, but their net drift is tiny.

Related tools: Drift Velocity Calculator, Electrical Mobility Calculator, and Current Divider Calculator.

Frequently Asked Questions

What is carrier density?

It is the number of mobile charge carriers per cubic meter. Copper has about $8.5 \times 10^{28}$ free electrons per m$^3$.

Can I use this for holes in semiconductors?

Yes. Use the hole density and elementary charge. The same formula applies to any charged carrier type.

Why convert area to square meters?

SI units keep the formula consistent. A 1 mm$^2$ wire has area $1 \times 10^{-6}$ m$^2$.

Is drift velocity the same as electron speed?

No. Thermal motion is much faster. Drift velocity is only the slow average drift caused by the electric field.

What if carrier density is zero?

The formula is undefined. An insulator has no free carriers to carry steady current.