Linear Charge Density Converter

ConversionEdited by Hemant Kumar and Anjita Rai, founders · How we checkUpdated Free · No sign-up

Quick answer: Choose a starting unit and a target unit, then enter a value. Common conversions: 1 C/m = 0.01 C/cm; 1 C/m = 1,000,000 µC/m; 1 C/cm = 100 C/m. This converter covers 6 linear charge density units.

Use the Linear Charge Density Converter

Linear Charge Density formula and what each symbol means

target = value × (factor of starting unit ÷ factor of target unit), where each factor is the unit value in C/m.

Symbols used in the formula
SymbolMeaning
valueThe number you want to convert
factorThe unit’s size expressed in the base unit (C/m)

Linear Charge Density examples

C/m to C/cm

10 C/m = 0.1 C/cm.

C/m to µC/m

10 C/m = 10,000,000 µC/m.

C/cm to C/m

10 C/cm = 1,000 C/m.

How to calculate Linear Charge Density step by step

  1. Choose the starting unit and the target unit.
  2. Enter your value.
  3. Read the converted value, plus the conversion factor in both directions.

Popular linear charge density conversions

How to read your Linear Charge Density result

Linear charge density is charge per unit length. The SI unit is coulomb per metre. It appears in the electric field of a charged wire or line.

UNITSYMBOLEQUALSVALUE OF 1 C/M
Coulomb per meterC/m1 C/m = 1 C/m1 C/m
Coulomb per centimeterC/cm1 C/cm = 100 C/m0.01 C/cm
Coulomb per inchC/in1 C/in = 39.370079 C/m0.0254 C/in
Coulomb per footC/ft1 C/ft = 3.2808399 C/m0.3048 C/ft
Microcoulomb per meterµC/m1 µC/m = 0.000001 C/m1,000,000 µC/m
Nanocoulomb per meternC/m1 nC/m = 1×10⁻⁹ C/m1,000,000,000 nC/m

Common mistakes when calculating Linear Charge Density

  • Mixing linear, surface and volume charge densities.
  • Mixing C/m and C/cm, which differ by 100.
  • Forgetting prefixes such as µ (10⁻⁶).

Linear Charge Density FAQ

How many C/m is 1 C/cm?

1 C/cm is 100 C/m.

How many C/m is 1 µC/m?

1 µC/m is 1×10⁻⁶ C/m.

Where is linear charge density used?

In physics problems with charged rods, wires and filaments.

What is the base unit for linear charge density?

This converter uses coulomb per meter (C/m) as the common base unit: every value is first converted to it and then to the target unit.

How do I convert between two linear charge density units?

Choose the starting and target units, enter the value and read the result. By hand: convert to the base unit with the table, then divide by the target unit factor.

How many coulombs per centimeter are in 1 coulomb per meter?

1 C/m = 0.01 C/cm.

How many microcoulombs per meter are in 1 coulomb per meter?

1 C/m = 1,000,000 µC/m.

How many coulombs per meter are in 1 coulomb per centimeter?

1 C/cm = 100 C/m.

Which linear charge density units does this converter support?

It covers 6 units: coulomb per meter (C/m), coulomb per centimeter (C/cm), coulomb per inch (C/in), coulomb per foot (C/ft), microcoulomb per meter (µC/m), nanocoulomb per meter (nC/m).

How accurate is the linear charge density converter?

Results are calculated at full double precision and shown to about 8 significant figures. Round the answer to the precision of your original measurement; a result cannot be more accurate than the number you started with.

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Method, review and disclaimer

Edited by: Hemant Kumar and Anjita Rai, founders of ToolsVault (SEO and content professional, not a licensed adviser). Method: this tool runs in your browser using the formula shown on this page; the numbers you enter are not sent to our servers. Sources: NIST SP 811, Appendix B.8: conversion factors, BIPM: the International System of Units (SI)