Electricity converters
Volume Charge Density Converter
Convert volume charge density units: charge contained in a unit volume.
Result
0.000001 C/cm³
1 C/m³ = 0.000001 C/cm³
All units for this value
| Unit | Symbol | Value |
|---|---|---|
| Coulomb per cubic meter | C/m³ | 1 |
| Coulomb per cubic centimeter | C/cm³ | 0.000001 |
| Coulomb per cubic millimeter | C/mm³ | 1.00000e-9 |
| Coulomb per liter | C/L | 0.001 |
| Microcoulomb per cubic meter | µC/m³ | 1000000 |
| Coulomb per cubic inch | C/in³ | 0.0000163871 |
| Abcoulomb per cubic meter | abC/m³ | 0.1 |
| Abcoulomb per cubic centimeter | abC/cm³ | 1.00000e-7 |
| Abcoulomb per cubic inch | abC/in³ | 0.00000163871 |
About this calculator
Volume charge density describes how much electric charge is packed into each unit of volume, used when modeling charged solids, ionized gases, or space charge inside a material. This converter switches between the SI unit coulomb per cubic meter, its metric variants, a liter-based unit, a US unit based on the cubic inch, and CGS units built from the abcoulomb.
How it works in plain English
Volume charge density combines a charge unit with a volume unit, so the converter anchors every entry to coulombs per cubic meter and rescales through that shared base. Metric variants such as coulomb per cubic centimeter and coulomb per cubic millimeter scale by the cube of the underlying length ratio, which is why moving from cubic meters to cubic centimeters multiplies the factor by one million rather than one hundred.
The coulomb-per-liter unit uses the fact that one liter equals exactly 0.001 cubic meters, giving a factor of 1000, while the microcoulomb per cubic meter unit applies the familiar charge-scale prefix for describing very lightly charged volumes. The coulomb-per-cubic-inch unit converts the cubic inch, about 1.6387064 × 10⁻⁵ cubic meters, into its reciprocal form, and the CGS abcoulomb-based units combine the abcoulomb's factor of 10 coulombs with the matching volume reciprocals.
Pick your from and to units, type in a value, and the converted volume charge density appears right away, with a table listing that same quantity across every supported unit. A precision control adjusts the number of decimal places shown, and a swap button reverses the two selected units instantly.
The formula
- value_in_target = value_in_source × (source factor to C/m³) ÷ (target factor to C/m³)
- 1 C/cm³ = 1,000,000 C/m³
- 1 C/L = 1,000 C/m³
- 1 C/in³ = 1 ÷ 1.6387064 × 10⁻⁵ ≈ 61,023.744 C/m³
Worked example
Suppose a plasma physics simulation reports a space charge density of 0.5 coulombs per liter and a researcher needs that figure in coulombs per cubic meter for a formula written in SI base units. Multiplying by the coulomb-per-liter factor: 0.5 × 1,000 = 500 C/m³.
Entering 0.5 into the C/L field with C/m³ selected as the target shows 500 C/m³ immediately. The full unit table also reports that same density as 0.0005 C/cm³, roughly 0.0000082 C/in³, and 50 abC/m³, all calculated from that single entered value without extra steps. Scanning across that table also shows the coulomb-per-cubic-millimeter row reading 0.0000005 C/mm³, which is a useful reminder of how quickly the numeric value shrinks as the volume unit gets smaller.
Volume charge density unit reference values
| Unit | Value in C/m³ |
|---|---|
| 1 coulomb per cubic centimeter (C/cm³) | 1,000,000 |
| 1 coulomb per cubic millimeter (C/mm³) | 1,000,000,000 |
| 1 coulomb per liter (C/L) | 1,000 |
| 1 coulomb per cubic inch (C/in³) | ≈61,023.744 |
| 1 abcoulomb per cubic meter (abC/m³) | 10 |
| 1 abcoulomb per cubic centimeter (abC/cm³) | 10,000,000 |
Standard SI, US customary, and CGS unit definitions
Frequently asked questions
What kinds of materials or systems use volume charge density?
Volume charge density describes charge distributed throughout a three-dimensional region, such as space charge in a semiconductor, ions spread through a plasma, or charge inside an insulator under stress. It's a key term in equations like Gauss's law that relate charge distribution to the resulting electric field.
Why does the cubic centimeter conversion factor equal one million?
Volume scales with the cube of length, and since there are 100 centimeters in a meter, a cubic meter contains 100 × 100 × 100, or one million, cubic centimeters. This converter applies that cubed relationship automatically for every volume-based unit pair.
How does the coulomb-per-liter unit fit in with the metric units?
A liter is defined as exactly 0.001 cubic meters, or equivalently 1000 cubic centimeters, so coulombs per liter sits between coulombs per cubic meter and coulombs per cubic centimeter in scale. It's included because liters are a familiar volume unit in chemistry and fluid-related contexts.
Is volume charge density the same as charge concentration in chemistry?
They're closely related ideas: a molar concentration of charged ions can be converted into a volume charge density by multiplying by the charge per ion and Avogadro's number, but this converter only handles the charge-per-volume units themselves rather than concentration-to-charge chemistry calculations.
Can I convert a value from cubic inches into cubic centimeters units directly?
Yes. Select coulomb per cubic inch as the from unit and coulomb per cubic centimeter as the to unit, then enter the value. The converter routes the calculation through the shared C/m³ base automatically, handling the cubic-inch-to-cubic-meter factor without any manual lookup.
Related converters
Convert electric charge units: coulomb, amp-hour, faraday and elementary charge.
Convert linear charge density units: charge carried per unit length.
Convert surface charge density units: charge spread over a unit area.
Convert electric current units: ampere, milliampere, abampere and statampere.