Linear Charge Density Converter
Convert between linear charge density units — coulomb/meter, coulomb/centimeter, coulomb/inch, abcoulomb/meter, abcoulomb/centimeter, and abcoulomb/inch.
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/m = 0.01 C/cm
1 Coulomb per Meter = 0.01 Coulombs per Centimeter
1 Coulomb per Centimeter = 100 Coulombs per Meter
1 C/m in every supported unit
What is a Linear Charge Density Converter?
Linear charge density describes how electric charge is distributed along a one-dimensional object — a charged wire, rod, or thin beam — expressed as charge per unit length. Its SI unit is the coulomb per meter (C/m), and it's the quantity that plugs directly into the electric-field formula for an infinite (or long, thin) charged line, where the field strength at a distance depends on how densely charge is packed along the line's length rather than on the line's total charge alone. It's distinct from ordinary charge (a single total number, in coulombs) and from surface or volume charge density, which spread charge across an area or through a volume instead of along a length.
This converter is used in electrostatics coursework and transmission-line engineering wherever a charged conductor's charge distribution needs to be expressed per unit of length, and for converting between the modern coulomb-per-meter figure and the older CGS-based abcoulomb-per- length units still found in some legacy electromagnetism references. Every unit below is defined relative to the coulomb per meter, so any two linear charge density units convert directly and consistently, whether the underlying length is measured in meters, centimeters, or inches.
Conversion chart: Coulomb per Meter to Coulombs per Centimeter
Conversion table
| Coulomb per Meter (C/m) | Coulomb per Centimeter (C/cm) |
|---|---|
| 0.01 C/m | 0.0001 C/cm |
| 0.1 C/m | 0.001 C/cm |
| 1 C/m | 0.01 C/cm |
| 2 C/m | 0.02 C/cm |
| 3 C/m | 0.03 C/cm |
| 5 C/m | 0.05 C/cm |
| 10 C/m | 0.1 C/cm |
| 20 C/m | 0.2 C/cm |
| 50 C/m | 0.5 C/cm |
| 100 C/m | 1 C/cm |
| 1000 C/m | 10 C/cm |
Supported Units
| Unit | Symbol | In C/m |
|---|---|---|
| Coulomb per Meter | C/m | 1 C/m |
| Coulomb per Centimeter | C/cm | 100 C/m |
| Coulomb per Inch | C/in | 39.370079 C/m |
| Abcoulomb per Meter | abC/m | 10 C/m |
| Abcoulomb per Centimeter | abC/cm | 1000 C/m |
| Abcoulomb per Inch | abC/in | 393.70079 C/m |
About These Parameters
- Value
- The linear charge density value you want to convert, expressed in the "From" unit. Accepts decimals, and can represent anything from a lightly charged laboratory wire to a densely charged conductor in a field-theory problem.
- From Unit
- The unit your input value is currently measured in — a modern coulomb-per-meter (or per-centimeter) figure, or an older CGS-based abcoulomb-per-length 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-length conventions.
How Linear Charge Density Conversion Works
The Formula
Every unit here is defined by a fixed multiplier relative to the coulomb per meter. To convert a value from one unit to another:
result = value × (factor of "From" unit ÷ factor of "To" unit)
For Coulomb per Meter → Coulomb per Centimeter: multiply by 0.01. For example, 1 C/m × 0.01 = 0.01 C/cm.
Why Charge Per Length, Not Just Total Charge?
A charged wire's total charge alone doesn't tell you how strong its electric field is at a given distance — a short, densely charged wire and a long, lightly charged wire can carry the same total charge but produce very different fields nearby. Linear charge density solves this by normalizing charge to the length it's spread across, so the same density figure describes the field-generating behavior of the conductor regardless of how long a section you happen to be looking at. That's why it appears directly in the standard formula for the electric field near an infinite charged line, E = λ / (2πε₀r), where λ is the linear charge density.
Metric vs. CGS Charge-Per-Length Units
The coulomb-per-meter family follows directly from the SI coulomb and meter, while the abcoulomb-per-length family is built from the CGS-EMU system's abcoulomb (10 coulombs) paired with centimeter-, meter-, or inch-scale lengths. Because the CGS system predates SI's international standardization, older transmission-line and electromagnetism texts sometimes express charge density in abcoulombs per centimeter rather than coulombs per meter — this converter bridges both conventions directly.
Example
A linear charge density of 1 C/m equals 0.01 C/cm. For scale, laboratory electrostatics demonstrations with charged rods typically involve linear charge densities on the order of nanocoulombs to microcoulombs per meter, far below the charge densities that would cause visible corona discharge in air.
Frequently Asked Questions
What's the difference between linear charge density and total charge?
Total charge (measured in coulombs) is a single number describing how much charge an object carries overall. Linear charge density (measured in coulombs per meter) describes how that charge is spread along the object's length, which is what actually determines the electric field strength near a long, thin charged conductor.
Why does abcoulomb per meter equal 10 coulombs per 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 meter used elsewhere on this page simply carries that fixed 10x relationship straight through into the charge-density unit.
Where does linear charge density actually get used?
It's central to electrostatics problems involving long, thin charged conductors — charged rods, wires, and transmission lines — where the electric field formula depends directly on charge per unit length rather than on the object's total charge. It also appears in some high-voltage transmission-line corona-discharge calculations.