Convert Abcoulombs per Square Inch to Abcoulombs per Square Centimeter
Abcoulomb per Square Inch (abC/in²) to Abcoulomb per Square Centimeter (abC/cm²) surface 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 abC/in² = 0.15500031 abC/cm²
1 Abcoulomb per Square Inch = 0.15500031 Abcoulombs per Square Centimeter
1 Abcoulomb per Square Centimeter = 6.4516 Abcoulombs per Square Inch
1 abC/in² in every supported unit
Conversion chart: Abcoulomb per Square Inch to Abcoulombs per Square Centimeter
Conversion table
| Abcoulomb per Square Inch (abC/in²) | Abcoulomb per Square Centimeter (abC/cm²) |
|---|---|
| 0.01 abC/in² | 0.0015500031 abC/cm² |
| 0.1 abC/in² | 0.015500031 abC/cm² |
| 1 abC/in² | 0.15500031 abC/cm² |
| 2 abC/in² | 0.31000062 abC/cm² |
| 3 abC/in² | 0.46500093 abC/cm² |
| 5 abC/in² | 0.77500155 abC/cm² |
| 10 abC/in² | 1.5500031 abC/cm² |
| 20 abC/in² | 3.1000062 abC/cm² |
| 50 abC/in² | 7.7500155 abC/cm² |
| 100 abC/in² | 15.500031 abC/cm² |
| 1000 abC/in² | 155.00031 abC/cm² |
Abcoulomb per Square Inch (abC/in²)
Definition: A mixed CGS-customary surface charge density unit expressing abcoulombs of charge per square inch of area, combining the older CGS-EMU charge unit with the US customary square inch.
History: It exists as a conversion convenience bridging CGS-EMU electromagnetism with US customary area measurement, rather than having arisen from independent physical reasoning.
Current use: Rarely used in practice; included mainly for completeness when converting between the full family of coulomb- and abcoulomb-based surface charge density units.
Abcoulomb per Square Centimeter (abC/cm²)
Definition: A CGS-consistent surface charge density unit combining the abcoulomb with the square centimeter — the natural area scale of the CGS (centimeter-gram-second) system the abcoulomb itself belongs to.
History: It emerged as the fully CGS-native version of surface charge density, pairing the CGS-EMU charge unit with the CGS system's own base length unit squared rather than mixing in the SI meter.
Current use: Appears in historical CGS-based electromagnetism literature and calculations that keep every quantity consistently within the centimeter-gram-second unit family.
Supported Units
| Unit | Symbol | In C/m² |
|---|---|---|
| Coulomb per Square Meter | C/m² | 1 C/m² |
| Coulomb per Square Centimeter | C/cm² | 10000 C/m² |
| Coulomb per Square Inch | C/in² | 1550.0031 C/m² |
| Abcoulomb per Square Meter | abC/m² | 10 C/m² |
| Abcoulomb per Square Centimeter | abC/cm² | 100000 C/m² |
| Abcoulomb per Square Inch | abC/in² | 15500.031 C/m² |
About These Parameters
- Value
- The surface charge density value you want to convert, expressed in the "From" unit. Accepts decimals, and can represent anything from a lightly charged capacitor plate to a densely charged conductor surface in a field-theory problem.
- From Unit
- The unit your input value is currently measured in — a modern coulomb-per-square-meter (or per-square-centimeter) figure, or an older CGS-based abcoulomb-per-area 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-area conventions.
How Surface Charge Density Conversion Works
The Formula
Every unit here is defined by a fixed multiplier relative to the coulomb per square meter. To convert a value from one unit to another:
result = value × (factor of "From" unit ÷ factor of "To" unit)
For Abcoulomb per Square Inch → Abcoulomb per Square Centimeter: multiply by 0.15500031. For example, 1 abC/in² × 0.15500031 = 0.15500031 abC/cm².
Why Charge Per Area, Not Just Total Charge?
A charged plate's total charge alone doesn't tell you how strong the electric field is right at its surface — a small, densely charged plate and a large, lightly charged plate can carry the same total charge but produce very different field strengths near the surface. Surface charge density solves this by normalizing charge to the area it covers, so the same density figure describes the field-generating behavior of the surface regardless of the plate's total size. That's exactly why it appears directly in Gauss's law's boundary condition for the field just outside a conductor, E = σ / ε₀, where σ is the surface charge density.
Metric vs. CGS Charge-Per-Area Units
The coulomb-per-square-meter family follows directly from the SI coulomb and square meter, while the abcoulomb-per-area family is built from the CGS-EMU system's abcoulomb (10 coulombs) paired with square-centimeter, square-meter, or square-inch areas. Because the CGS system predates SI's international standardization, older capacitor and electrostatics literature sometimes expresses surface charge density in abcoulombs per square centimeter rather than coulombs per square meter — this converter bridges both conventions directly.
Example
A surface charge density of 1 abC/in² equals 0.15500031 abC/cm². For scale, the plates of a typical parallel-plate capacitor charged to a few volts carry surface charge densities on the order of nanocoulombs to microcoulombs per square meter, far below the density that would trigger dielectric breakdown of the air between them.
Frequently Asked Questions
How many Abcoulombs per Square Centimeter are in 1 Abcoulomb per Square Inch?
1 Abcoulomb per Square Inch (abC/in²) equals exactly 0.15500031 Abcoulombs per Square Centimeter (abC/cm²).
What's the difference between surface charge density and linear charge density?
Linear charge density (coulombs per meter) describes charge spread along a one-dimensional line or wire, while surface charge density (coulombs per square meter) describes charge spread across a two-dimensional area, such as a capacitor plate or conductor surface. They're used in different field-calculation formulas because the geometry of the charge distribution is different.
Why does abcoulomb per square meter equal 10 coulombs per square 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 square meter used elsewhere on this page simply carries that fixed 10x relationship straight through into the surface charge density unit.
Where does surface charge density actually get used?
It's central to capacitor design and any electrostatics problem involving charged conducting surfaces — the field just outside a charged conductor, the charge stored on capacitor plates for a given plate area, and boundary-value problems in electromagnetism that use Gauss's law at a conductor's surface.