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Statcoulombs (esu) to Coulombs Converter

Enter a value in statcoulombs (esu) to convert it to coulombs, nanocoulombs.

How it is calculated

The conversion is a single multiplication: C = statC × 3.33564095×10⁻¹⁰, where statC is the charge in statcoulombs (esu) and C the charge in coulombs. The factor is 1 divided by 2.99792458×10⁹, which comes from the speed of light in cm/s. The tool shows the coulomb value in scientific notation with four digits after the point (for example 1.6022e-9 C), and also gives nanocoulombs as nC = statC × 0.333564095 rounded to four decimals. Because a statcoulomb is tiny, coulomb results usually carry a negative exponent. Negative charges keep their sign, and 0 gives 0. Only the direction statC to C is offered, so to go back, divide by the factor.

Worked example

Convert a charge of 4.8032 statC. In coulombs: 4.8032 × 3.33564095×10⁻¹⁰ = 1.60217×10⁻⁹, which the tool writes as 1.6022e-9 C. In nanocoulombs: 4.8032 × 0.333564095 = 1.6022 nC. Both lines describe the same charge, only the prefix differs: 1 nC is 10⁻⁹ C, so 1.6022e-9 C and 1.6022 nC match.

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Common mistakes

  • Misreading the exponent. 1.6022e-9 C means 1.6022 × 10⁻⁹ coulombs, not 1.6022 coulombs.
  • Typing a value in coulombs or nanocoulombs into the statcoulomb field. A charge of 1 C entered here is read as 1 statC, and the result is wrong by a factor of about 3×10⁹.
  • Relying on the nanocoulomb line for very small charges. It is rounded to four decimals, so an input of 4.8e-10 statC (the field accepts this exponent form) shows 0.0000 nC while the coulomb line still shows 1.6011e-19 C. Use the coulomb line for tiny values.
  • Chaining the rounded result into further calculations. The coulomb value keeps five significant digits only, so keep the original statcoulomb value for repeated work.
  • Expecting a result for text or an empty field. Anything that is not a number returns nothing.

About this calculator

The statcoulomb (esu) is the unit of electric charge in the CGS-Gaussian system, defined so that two equal charges of 1 statC placed 1 cm apart in vacuum repel each other with a force of exactly 1 dyne — it converts to the SI coulomb at 1 statC ≈ 3.33564×10⁻¹⁰ C, a factor directly tied to the speed of light (1 statC = 1/(2.99792458×10⁹) C).

Theoretical and astrophysicists still use Gaussian/CGS units, following the convention of classic textbooks like Jackson's Classical Electrodynamics, because Maxwell's equations take a more symmetric form without ε₀ and μ₀, so converting statcoulombs to coulombs is a routine step whenever their results need to interface with SI-based engineering or experimental data.

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