CGS e.s. unit to EMU of current
CGS ESU
EMU
Conversion History
| Conversion | Reuse | Delete |
|---|---|---|
1 CGS ESU (CGS e.s. unit) → 3.335641e-11 EMU (EMU of current) Just now |
Quick Reference Table (CGS e.s. unit to EMU of current)
| CGS e.s. unit (CGS ESU) | EMU of current (EMU) |
|---|---|
| 1 | 0.00000000003335641 |
| 10 | 0.0000000003335641 |
| 100 | 0.000000003335641 |
| 1,000,000 | 0.00003335641 |
| 1,000,000,000 | 0.03335641 |
| 3,000,000,000 | 0.10006923 |
About CGS e.s. unit (CGS ESU)
The CGS electrostatic unit (CGS e.s. unit) of current equals approximately 3.335641×10⁻¹⁰ amperes, identical to the statampere or ESU of current. In the CGS electrostatic subsystem, current is defined as statcoulombs per second, giving one CGS e.s. unit per second of charge flow. The CGS-ESU system places Coulomb s law in a clean constant-free form but produces cumbersome dimensions for magnetic quantities. It was used in early electrostatics, cathode-ray tube physics, and vacuum science. All modern work uses SI. The factor 1/c (in CGS cm/s) converts ESU current to SI amperes.
1 CGS e.s. unit ≈ 3.336×10⁻¹⁰ A. A 1 A current equals about 3×10⁹ CGS e.s. units — illustrating the enormous scale difference between the ESU and SI systems.
About EMU of current (EMU)
The electromagnetic unit (EMU) of current equals exactly 10 amperes, numerically identical to the biot. It is the current unit native to the CGS electromagnetic (CGS-EMU) system, which dominated electrical physics from the mid-19th century until SI adoption in 1960. In CGS-EMU, the permeability of free space is defined as 1, giving the electromagnetic subsystem its characteristic form where magnetic force between parallel currents is expressed purely in dynes. The EMU of current appears in classical electrodynamics texts, historical measurement standards, and theoretical physics work using CGS-EMU conventions. All practical electrical measurement now uses SI amperes.
1 EMU of current = 10 A. A 50 A arc welding process carries 5 EMU. The unit is encountered primarily in pre-1960 scientific literature.
CGS e.s. unit – Frequently Asked Questions
Why is the CGS e.s. unit so different in magnitude from the CGS e.m. unit?
The e.m. unit equals 10 A while the e.s. unit equals 3.3 × 10⁻¹⁰ A — a ratio of about 3 × 10¹⁰, which is the speed of light in cm/s. This enormous factor reflects the fundamental relationship c² = 1/(ε₀μ₀). The two systems were designed to simplify different sets of equations, and the speed of light is the price of bridging them.
What made the CGS electrostatic system useful for early vacuum physics?
In vacuum tubes and cathode ray experiments, electrostatic forces dominate — no magnetic materials, no currents in bulk conductors. The ESU system made Coulomb's law beautifully simple: F = q₁q₂/r² with no constants. For computing electron trajectories in early TV tubes and oscilloscopes, this simplicity was genuinely helpful.
How did early CRT televisions use electrostatic units in beam deflection design?
Early cathode ray tubes used electrostatic deflection plates to steer the electron beam. Engineers working in CGS-ESU could calculate beam deflection angles directly from plate voltage and geometry using Coulomb's law without extra constants. The tiny ESU currents matched the actual beam currents (microamperes), making the numbers more intuitive than working in amperes for these minuscule electron flows.
How do I know if an old paper is using CGS e.s. or CGS e.m. units?
Check the context and the magnitude of numbers. If currents are tiny numbers where you would expect amperes, it is ESU. If they are 1/10 of expected ampere values, it is EMU. Good papers state which system they use, but many older ones do not. The equations themselves also differ — look for factors of c or 4π.
Could the CGS electrostatic system handle magnetic phenomena?
Technically yes, but clumsily. In pure CGS-ESU, the magnetic field has dimensions involving the speed of light, and equations for inductance and magnetic force become awkward. This is exactly why the Gaussian hybrid was invented — it uses ESU for electric quantities and EMU for magnetic ones, giving clean equations for both.
EMU of current – Frequently Asked Questions
What does EMU stand for and why was it created?
EMU stands for "electromagnetic unit." In the 1860s–1870s, physicists needed separate unit systems for electrostatic and electromagnetic phenomena because they had not yet unified them. The EMU system was built around magnetic force between currents, while the ESU system was built around Coulomb's electrostatic force. The ratio between them turned out to be the speed of light — a clue that led to Maxwell's equations.
Is the EMU of current the same as a biot?
Yes, exactly. Both equal 10 amperes. The biot is the named unit; "EMU of current" is the generic label. It is like saying "SI unit of force" versus "newton" — same thing, different label. The CGS-EMU system also has named units for other quantities: the gauss (magnetic field), the oersted (magnetising field), and the maxwell (magnetic flux).
Why did physics abandon the EMU system?
The EMU system was awkward for practical electrical engineering — 1 EMU of resistance (the abohm) equals 10⁻⁹ ohms, making everyday values absurdly large numbers. The SI system, adopted in 1960, unified mechanical and electrical units into one coherent framework with human-scale values. Practicality won over tradition.
Where might I encounter EMU of current in old scientific papers?
Pre-1960 physics journals, particularly in geomagnetism, plasma physics, and early electrical standards work, routinely use EMU. Geophysicists measuring Earth's magnetic field historically reported results in CGS-EMU units (gauss, oersted, EMU). Some geophysics reference data still has not been converted to SI.
How did the speed of light connect the EMU and ESU systems?
Weber and Kohlrausch discovered in 1856 that the ratio of the ESU to EMU charge was approximately 3×10¹⁰ cm/s — the speed of light. This was no coincidence: Maxwell showed that light is an electromagnetic wave, and the unit ratio reflects the fundamental coupling between electric and magnetic fields. One of the greatest insights in physics history, hidden in a unit conversion.