Volume Charge Density Converter

Convert between different units of volume charge density with precision

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Common Conversions
Quick access to frequently used conversions
Unit Information

SI Units

International System of Units (SI) measurements

C/m³
si
Coulomb per Cubic Meter
Base unit of volume charge density in the SI system
C/cm³
si
Coulomb per Cubic Centimeter
1,000,000 coulombs per cubic meter (1 × 10⁶ C/m³)
C/mm³
si
Coulomb per Cubic Millimeter
1,000,000,000 coulombs per cubic meter (1 × 10⁹ C/m³)
mC/m³
si
Millicoulomb per Cubic Meter
One thousandth of a coulomb per cubic meter (1 × 10⁻³ C/m³)
μC/m³
si
Microcoulomb per Cubic Meter
One millionth of a coulomb per cubic meter (1 × 10⁻⁶ C/m³)
nC/m³
si
Nanocoulomb per Cubic Meter
One billionth of a coulomb per cubic meter (1 × 10⁻⁹ C/m³)

Practical Units

Commonly used units in practical applications

Ah/m³
practical
Ampere-hour per Cubic Meter
Volume charge density equivalent to 1 ampere-hour per cubic meter
mAh/m³
practical
Milliampere-hour per Cubic Meter
Volume charge density equivalent to 1 milliampere-hour per cubic meter

CGS Units

Centimeter-gram-second system units

statC/cm³
cgs
Statcoulomb per Cubic Centimeter
CGS unit of volume charge density (3.336 × 10⁻⁴ C/m³)
abC/cm³
cgs
Abcoulomb per Cubic Centimeter
CGS electromagnetic unit of volume charge density (10,000,000 C/m³)

Engineering Units

Imperial and other engineering units

C/in³
engineering
Coulomb per Cubic Inch
Volume charge density in imperial units (61,024 C/m³)
C/ft³
engineering
Coulomb per Cubic Foot
Volume charge density in imperial units (35.31 C/m³)
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About Volume Charge Density

Volume charge density is a measure of electric charge per unit volume. It's commonly used in electrical engineering, electrostatics, and physics to describe how electric charge is distributed throughout a three-dimensional space, such as within a material, dielectric, or plasma.

Common Applications

  • Semiconductor Physics: Analyzing charge distribution in doped materials
  • Plasma Physics: Understanding charge distribution in ionized gases
  • Dielectric Materials: Studying polarization and charge storage
  • Battery Technology: Analyzing charge distribution in electrodes
  • Electrostatics: Calculating electric fields from charge distributions

Key Units

  • C/m³ (Coulomb per Cubic Meter): The SI base unit for volume charge density
  • C/cm³ (Coulomb per Cubic Centimeter): Common in practical applications
  • C/mm³ (Coulomb per Cubic Millimeter): Used for high-density applications
  • Ah/m³ (Ampere-hour per Cubic Meter): Useful for battery and energy applications
  • statC/cm³ (Statcoulomb per Cubic Centimeter): CGS unit system

Conversion Examples

  • 1 C/m³ = 0.000001 C/cm³ = 0.000000001 C/mm³
  • 1 C/cm³ = 1,000,000 C/m³ = 0.001 C/mm³
  • 1 C/mm³ = 1,000,000,000 C/m³ = 1000 C/cm³
  • 1 Ah/m³ = 3600 C/m³ = 0.0036 C/cm³
  • 1 statC/cm³ = 3.336 × 10⁻⁴ C/m³

Practical Considerations

Volume charge density is fundamental in understanding how electric charges are distributed in three-dimensional space. It's particularly important in materials science, where understanding charge distribution helps predict electrical properties, conductivity, and dielectric behavior. High volume charge densities can lead to strong electric fields and potential breakdown, while low densities may result in weak electrical responses.

Relationship to Other Charge Densities

Volume charge density is related to linear and surface charge densities through geometric relationships. For example, a uniform volume charge density ρ in a cylinder of radius r and length L gives rise to a linear charge density λ = πρr² and a surface charge density σ = ρL/2 on the curved surface. Understanding these relationships is crucial for solving complex electrostatics problems.