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Physics Formulas > Electromagnetism > Current Density

Current Density

The current density is given by:

J = N · q · u

Since the current is given by:

ΔI = ΔQt = N · q · u · an · Δs = N · q · u · Δs

Where:
N is the number of charge carries per unit.
q is the charge each one carries.

u is the velocity the charges has when they move across the surface Δs, which has a unit normal an.
Δt is the time variation.

Since N · q = ρ, the current density can also be expressed as:

J = ρ · u

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