Convert Coulombs per Cubic Inch to Coulombs per Cubic Meter
Coulomb per Cubic Inch (C/in³) to Coulomb per Cubic Meter (C/m³) volume charge density conversion — enter any value below to get an instant result, or use the table for common values.
Results from this calculator are estimates provided for general informational purposes only, based on formulas, rates, and standards commonly accepted as of 2026. Figures may differ slightly from other calculators or professional sources due to rounding methods, differing assumptions, or regional regulations, and rules may change over time. Always consult a qualified professional — such as a financial advisor, healthcare provider, or other relevant specialist — before making decisions based on these results.
Result
1 C/in³ = 61023.744 C/m³
1 Coulomb per Cubic Inch = 61023.744 Coulombs per Cubic Meter
1 Coulomb per Cubic Meter = 1.63871E-05 Coulombs per Cubic Inch
1 C/in³ in every supported unit
Conversion chart: Coulomb per Cubic Inch to Coulombs per Cubic Meter
Conversion table
| Coulomb per Cubic Inch (C/in³) | Coulomb per Cubic Meter (C/m³) |
|---|---|
| 0.01 C/in³ | 610.23744 C/m³ |
| 0.1 C/in³ | 6102.3744 C/m³ |
| 1 C/in³ | 61023.744 C/m³ |
| 2 C/in³ | 122047.49 C/m³ |
| 3 C/in³ | 183071.23 C/m³ |
| 5 C/in³ | 305118.72 C/m³ |
| 10 C/in³ | 610237.44 C/m³ |
| 20 C/in³ | 1220474.9 C/m³ |
| 50 C/in³ | 3051187.2 C/m³ |
| 100 C/in³ | 6102374.4 C/m³ |
| 1000 C/in³ | 61023744 C/m³ |
Coulomb per Cubic Inch (C/in³)
Definition: A mixed metric-customary volume charge density unit expressing coulombs of charge per cubic inch of volume, used where the charged region's volume is specified in US customary units.
History: It exists purely as a unit-conversion convenience for US engineering contexts, following directly from the fixed inch-to-meter relationship cubed rather than having an independent physical origin.
Current use: Rarely seen in modern practice; included mainly for completeness when converting older US-customary engineering figures into metric volume charge density units.
Coulomb per Cubic Meter (C/m³)
Definition: The SI derived unit of volume charge density — the amount of electric charge, in coulombs, distributed evenly throughout one cubic meter of space. It's the quantity that appears directly on the right-hand side of Gauss's law in differential form and in Poisson's equation for the electric potential.
History: It follows automatically from combining the coulomb with the cubic meter once both were standardized within SI, giving electrostatics a coherent charge-per-volume unit without a separately named unit.
Current use: The standard unit in semiconductor device physics for describing space-charge regions, and in plasma physics for describing charge density in ionized gases.
Supported Units
| Unit | Symbol | In C/m³ |
|---|---|---|
| Coulomb per Cubic Meter | C/m³ | 1 C/m³ |
| Coulomb per Cubic Centimeter | C/cm³ | 1000000 C/m³ |
| Coulomb per Cubic Inch | C/in³ | 61023.744 C/m³ |
| Abcoulomb per Cubic Meter | abC/m³ | 10 C/m³ |
| Abcoulomb per Cubic Centimeter | abC/cm³ | 10000000 C/m³ |
| Abcoulomb per Cubic Inch | abC/in³ | 610237.44 C/m³ |
About These Parameters
- Value
- The volume charge density value you want to convert, expressed in the "From" unit. Accepts decimals, and can represent anything from a lightly ionized gas to a densely charged semiconductor depletion region.
- From Unit
- The unit your input value is currently measured in — a modern coulomb-per-cubic-meter (or per-cubic-centimeter) figure, or an older CGS-based abcoulomb-per-volume figure from legacy electromagnetism literature.
- To Unit
- The unit you want the result converted into. Use the swap button to flip From and To instantly, which is handy when moving between metric and CGS charge-per-volume conventions.
How Volume Charge Density Conversion Works
The Formula
Every unit here is defined by a fixed multiplier relative to the coulomb per cubic meter. To convert a value from one unit to another:
result = value × (factor of "From" unit ÷ factor of "To" unit)
For Coulomb per Cubic Inch → Coulomb per Cubic Meter: multiply by 61023.744. For example, 1 C/in³ × 61023.744 = 61023.744 C/m³.
Why Charge Per Volume, Not Just Total Charge?
A charged region's total charge alone doesn't describe how that charge is distributed inside it — a small, densely charged region and a large, lightly charged region can carry the same total charge but produce very different electric fields and potentials at any given point. Volume charge density solves this by normalizing charge to the volume it fills, so the same density figure describes the field-generating behavior throughout the region regardless of its overall size. That's precisely why it appears directly in Poisson's equation, ∇²V = −ρ/ε₀, which relates the electric potential V at any point to the local volume charge density ρ.
Metric vs. CGS Charge-Per-Volume Units
The coulomb-per-cubic-meter family follows directly from the SI coulomb and cubic meter, while the abcoulomb-per-volume family is built from the CGS-EMU system's abcoulomb (10 coulombs) paired with cubic-centimeter, cubic-meter, or cubic-inch volumes. Because the CGS system predates SI's international standardization, older plasma-physics and semiconductor literature sometimes expresses volume charge density in abcoulombs per cubic centimeter rather than coulombs per cubic meter — this converter bridges both conventions directly.
Example
A volume charge density of 1 C/in³ equals 61023.744 C/m³. For scale, the depletion region of a typical silicon semiconductor junction carries a volume charge density on the order of tens to hundreds of coulombs per cubic meter, driven by the fixed dopant ions left behind once mobile charge carriers diffuse away from the junction.
Frequently Asked Questions
How many Coulombs per Cubic Meter are in 1 Coulomb per Cubic Inch?
1 Coulomb per Cubic Inch (C/in³) equals exactly 61023.744 Coulombs per Cubic Meter (C/m³).
What's the difference between volume charge density and surface charge density?
Surface charge density (coulombs per square meter) describes charge spread across a two-dimensional surface, such as a conductor's outer skin. Volume charge density (coulombs per cubic meter) describes charge distributed throughout a three-dimensional region, such as a semiconductor's depletion layer or an ionized gas — the charge fills the space rather than sitting only on its boundary.
Why does abcoulomb per cubic meter equal 10 coulombs per cubic meter?
Because the abcoulomb itself is defined as exactly 10 coulombs within the CGS electromagnetic (EMU) unit system, and pairing it with the same SI cubic meter used elsewhere on this page simply carries that fixed 10x relationship straight through into the volume charge density unit.
Where does volume charge density actually get used?
It's central to semiconductor device physics — describing the fixed charge left by dopant ions in a transistor or diode's depletion region — and to plasma physics, where it describes the net charge density of an ionized gas made up of positive ions and free electrons.