Volume Charge Density Converter
Volume charge density (ρ) measures electric charge per unit volume — used for distributed charges in dielectrics, space charge regions, ion beams, and semiconductor physics.
Common Volume Charge Density Conversions
| From | To |
|---|---|
| 1 C/m³ | 0.000001 C/cm³ |
| 1 C/cm³ | 1,000,000 C/m³ |
| 1 µC/m³ | 0.000001 C/m³ |
| 1 mC/m³ | 0.001 C/m³ |
| 1 µC/cm³ | 1 C/m³ |
| 1 nC/m³ | 10⁻⁹ C/m³ |
Volume Charge Density Unit Definitions
- C/m³ (coulombs/m³)
- SI unit of volume charge density.
- C/cm³
- 1,000,000 C/m³. Used for very high charge densities.
- µC/m³
- 10⁻⁶ C/m³. Typical for weakly charged dielectric volumes.
- mC/m³
- 10⁻³ C/m³. Space charge in high-voltage insulators.
Frequently Asked Questions
How does volume charge density relate to electric field?
By Gauss's law: ∇·E = ρ/ε₀. In a uniformly charged sphere of radius R, the field inside is E(r) = ρr/(3ε₀).
What are typical volume charge densities?
Space charge in vacuum tubes: ~1 µC/m³. Doped semiconductors: 10–10,000 C/m³. Ion beams: ~1 mC/m³.
What is the difference between ρ and σ charge density?
ρ (rho) is charge per volume (C/m³) for bulk distributions. σ (sigma) is charge per area (C/m²) for surface distributions. Both appear in Maxwell's equations.