Convert Coulombs per Square Inch to Abcoulombs per Square Inch
Coulomb per Square Inch (C/in²) to Abcoulomb per Square Inch (abC/in²) 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 C/in² = 0.1 abC/in²
1 Coulomb per Square Inch = 0.1 Abcoulombs per Square Inch
1 Abcoulomb per Square Inch = 10 Coulombs per Square Inch
1 C/in² in every supported unit
Conversion chart: Coulomb per Square Inch to Abcoulombs per Square Inch
Conversion table
| Coulomb per Square Inch (C/in²) | Abcoulomb per Square Inch (abC/in²) |
|---|---|
| 0.01 C/in² | 0.001 abC/in² |
| 0.1 C/in² | 0.01 abC/in² |
| 1 C/in² | 0.1 abC/in² |
| 2 C/in² | 0.2 abC/in² |
| 3 C/in² | 0.3 abC/in² |
| 5 C/in² | 0.5 abC/in² |
| 10 C/in² | 1 abC/in² |
| 20 C/in² | 2 abC/in² |
| 50 C/in² | 5 abC/in² |
| 100 C/in² | 10 abC/in² |
| 1000 C/in² | 100 abC/in² |
Coulomb per Square Inch (C/in²)
Definition: A mixed metric-customary surface charge density unit expressing coulombs of charge per square inch of surface area, used where the charged surface's area 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 squared rather than having an independent physical origin.
Current use: Occasionally seen in US electrical engineering documentation that specifies plate or electrode areas in square inches rather than metric units.
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.
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 Coulomb per Square Inch → Abcoulomb per Square Inch: multiply by 0.1. For example, 1 C/in² × 0.1 = 0.1 abC/in².
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 C/in² equals 0.1 abC/in². 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 Inch are in 1 Coulomb per Square Inch?
1 Coulomb per Square Inch (C/in²) equals exactly 0.1 Abcoulombs per Square Inch (abC/in²).
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.