Cgs System Of Units Calculator - SI to CGS Conversions for Ten Common Quantities

A CGS system of units calculator is a conversion tool that helps you move between the modern SI (meter-kilogram-second) standard and the older centimeter-gram-second system that is still common in physics literature. The CGS system uses centimeters for length, grams for mass, and seconds for time, and it expresses derived quantities like force, energy, and magnetic flux in smaller, easier-to-handle numbers than SI. By selecting a quantity category, a direction, and a value, this calculator returns the matching dyne, erg, gauss, poise, franklin, or oersted figure in real time.

• • Reading Older Physics Papers: Translate centimeter-gram-second results from textbooks and journal articles into SI so you can compare with modern experimental data.
• • Converting Laboratory Measurements: Switch magnetic field readings from gauss to tesla, or viscosity readings from poise to pascal-seconds, when filling in lab notebooks that use SI.
• • Solving Electromagnetism Problems: Move between SI and Gaussian CGS formulations of Coulomb's law and Maxwell's equations when working through theoretical exercises.

The CGS system was the dominant metric framework for science in the 19th century and remained common in physics departments through the 20th century. Most older American and European references present mechanical quantities in dyne, erg, and barye, and electromagnetic quantities in franklin, statvolt, gauss, and oersted. Modern engineering and trade publications tend to use SI, so being able to switch between the two is a routine task for students, researchers, and instrumentation technicians.

Other converters in this category focus on everyday measurement scales, while this CGS tool is built for the centimeter-gram-second quantities that come up in physics, optics, and electromagnetism problems. For everyday length, mass, and temperature conversions outside the centimeter-gram-second system, our metric converter handles the most common metric prefixes in one place.

The calculator applies a fixed conversion factor for the selected category, then multiplies or divides the input value based on the direction you choose.

• Quantity category: The physical quantity being converted. Each category has its own factor because CGS rescales length and mass rather than just renaming units.
• Conversion direction: The starting unit system. Choosing SI to CGS multiplies by the category factor; choosing CGS to SI divides by it.
• Input value: The numeric amount you enter. Use scientific notation for very small or very large values.

Mechanical CGS factors are clean powers of ten because the base units differ by exact decimal ratios. One centimeter is 0.01 meter, and one gram is 0.001 kilogram, so force (gram centimeter per second squared) becomes 1e-5 newton, energy (dyne centimeter) becomes 1e-7 joule, and pressure (dyne per square centimeter) becomes 0.1 pascal. Electromagnetic factors are messier because CGS electromagnetism uses a different formulation of Coulomb's law and sets the proportionality constant to one.

For everyday volume, area, or temperature conversions, our area converter and metric converter handle the common engineering scales. The CGS system of units calculator exists for the subset of quantities where the CGS formulation remains in use: mechanics, viscosity, charge, voltage, and magnetic fields.

According to BIPM, the relationship between SI and CGS units is fixed by the definitions of the centimeter, gram, second, and the derived CGS units, and does not change with measurement precision.

These concepts explain why the CGS system of units calculator behaves the way it does.

The CGS electromagnetic factors are not simple powers of ten because the definition of the coulomb, volt, and tesla in SI absorbs a 4 pi epsilon_0 factor that CGS distributes differently. That is why a franklin equals 3.3356e-10 coulomb and a statvolt equals about 299.8 volt, while the gauss and oersted are clean decimal ratios to the tesla and ampere per meter. Knowing which factor to apply saves time when you are reading older physics texts that present results in CGS without a conversion reminder.

The CGS system of units calculator stays focused on the centimeter-gram-second system and does not mix in household units, which keeps the math tight and the answer consistent. When the energy in question is everyday watt-hours, food calories, or kilojoules rather than erg, our energy converter covers the household and engineering side of the same quantity.

Run a conversion in four steps.

1. 1 Pick the Quantity Category: Open the Quantity Category menu and select the physical quantity you are converting: force, energy, magnetic field, and so on.
2. 2 Choose the Direction: Select SI to CGS if you have an SI value and need the CGS result, or CGS to SI if you are reading a CGS value and need SI.
3. 3 Enter the Numeric Value: Type the value into the Value field. Use standard decimal notation, or scientific notation like 1.6e-19 for very small numbers.
4. 4 Read the Converted Result: The result panel updates with the converted value, the matching unit symbol, and the conversion factor used.

Choosing Force, SI to CGS, and value 1 returns 100,000 dyn with a factor of 100,000. Switching direction to CGS to SI with value 50,000 returns 0.5 N. The same flow works for every other category.

The form updates the converted value, unit, and factor as soon as you change any input, so you can iterate quickly. Reset returns the page to the default Force, SI to CGS, value 1 setup. For a quick sanity check, enter 1 in any SI field and confirm the result matches the published CGS unit definition (1 N = 100,000 dyn, 1 J = 10,000,000 erg, 1 T = 10,000 G).

For non-CGS force work, our force converter moves between newton, kilogram-force, and pound-force so the CGS result is not forced on engineering calculations.

This CGS system of units calculator saves time and reduces mistakes in four practical ways.

• • Covers All Common CGS Quantities: Ten categories are preloaded, including acceleration, force, energy, pressure, both viscosities, charge, voltage, and two magnetic fields, so you do not have to look up factors one by one.
• • Shows the Factor Alongside the Result: The conversion factor is displayed as a separate row, which makes it easy to copy the number into a homework problem or lab notebook without retyping the unit.
• • Updates in Real Time: Changing the category, direction, or value updates the result immediately, so iterating on a problem is faster than reaching for a printed table.
• • Uses Authoritative Definitions: Conversion factors are taken from the BIPM and NIST definitions for centimeter, gram, second, franklin, statvolt, gauss, and oersted, so the result matches standard physics references.

These benefits matter most when a calculation appears in the middle of a longer derivation. Having the CGS factor on the same screen means you can keep your train of thought instead of flipping between a textbook and a separate tool. This tool is also a useful quick check after you finish a problem by hand, because the result line is the same factor you would write into your solution.

Pair the area converter and other tools in this category with this CGS converter and you have a complete unit conversion kit for both physics and practical use.

Outside the physics context, our metric to SAE calculator handles fastener sizes, wrench spans, and other everyday metric to imperial translations.

These factors and limitations shape what the result means and how you should interpret it.

• • The tool only converts quantities defined in the centimeter-gram-second system. Temperature, electric current, and amount of substance are SI-native in modern usage and are not included here.
• • Electromagnetic CGS factors are rounded to the values published by NIST. If you need more than 6 significant figures, validate the factor against a primary reference such as the CODATA 2018 set of fundamental constants.

In practice, this tool is most useful when you already know which CGS unit your source uses. If a paper quotes magnetic flux density in gauss, this tool gives you the matching tesla value to 6 significant figures. If a paper quotes charge in abcoulomb, that is the electromagnetic CGS (EMU) subsystem and the result from this calculator will not apply, because this tool uses Gaussian CGS for charge.

This CGS converter is a focused tool for the centimeter-gram-second quantities that show up in physics homework, optics problems, and historical scientific literature.

According to NIST, the gal equals exactly 0.01 meter per second squared, the gauss equals exactly 1e-4 tesla, and the poise equals exactly 0.1 pascal-second.

For land, room, or surface work outside of physics, our area converter is a better fit and uses square meters and square feet instead of CGS length.