Milliampere to ESU of current
mA
ESU
Conversion History
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Quick Reference Table (Milliampere to ESU of current)
| Milliampere (mA) | ESU of current (ESU) |
|---|---|
| 1 | 2,997,924.5368431434917606541 |
| 5 | 14,989,622.6842157174588032705 |
| 20 | 59,958,490.73686286983521308198 |
| 100 | 299,792,453.68431434917606540992 |
| 500 | 1,498,962,268.42157174588032704958 |
| 1,000 | 2,997,924,536.84314349176065409917 |
| 2,000 | 5,995,849,073.68628698352130819833 |
About Milliampere (mA)
The milliampere (mA) equals one thousandth of an ampere (10⁻³ A) and is the practical unit for most consumer electronics and lighting circuits. USB 2.0 ports supply up to 500 mA; USB-C Power Delivery can reach 5,000 mA (5 A). A standard 5 mm indicator LED operates at 10–20 mA; mid-power LED drivers supply 100–350 mA. Human perception of electric shock begins near 1 mA; currents above 10 mA cause involuntary muscle contraction, and above 100 mA can be lethal. Wireless sensors, earphones, and small motors typically draw single-digit to low-hundreds of milliamperes.
A USB 2.0 port provides up to 500 mA for charging. A standard 5 mm indicator LED operates at around 20 mA.
About ESU of current (ESU)
The electrostatic unit of current (ESU, also called the statampere) equals approximately 3.335641×10⁻¹⁰ amperes. It is the current unit of the CGS electrostatic system (CGS-ESU), in which Coulomb s law is written without a permittivity constant and electromagnetic quantities are derived from the statcoulomb (franklin). One statampere is the flow of one statcoulomb per second. The factor 3.336×10⁻¹⁰ arises because 1 A = (c/10) ESU, where c ≈ 3×10¹⁰ cm/s is the speed of light in CGS units. The CGS-ESU system was used in early electrostatics and vacuum tube physics but is entirely obsolete in applied engineering.
1 ESU of current ≈ 3.336×10⁻¹⁰ A — an extraordinarily small current. One ordinary ampere equals approximately 3×10⁹ ESU.
Milliampere – Frequently Asked Questions
How many milliamps is dangerous to a human?
The danger thresholds for 50/60 Hz AC are roughly: 1 mA (tingling), 10–20 mA (muscle lock — you cannot let go), 75–100 mA (ventricular fibrillation), and 200+ mA (cardiac arrest and burns). DC is somewhat less dangerous at the same current. Duration matters enormously — 100 mA for 1 second is more lethal than 100 mA for 10 ms.
Why is my phone charger rated in milliamps when it charges at 2 amps?
Battery capacity is rated in milliampere-hours (mAh), not milliamps. A 4,000 mAh battery holds 4,000 mA for one hour (or 2,000 mA for two hours). The charger delivers 2 A (2,000 mA) of current, and it takes about 2 hours to fill that 4,000 mAh battery from empty.
What is the milliamp draw of common household items?
A wireless earbud draws 5–15 mA during playback. A TV remote uses about 10 mA when pressing a button. An LED nightlight consumes 20–50 mA. A smoke detector in standby draws 10–30 μA (0.01–0.03 mA) — so low it runs on a 9V battery for years.
Why do LED specifications always mention 20 mA?
Standard 5 mm indicator LEDs were designed around a 20 mA operating point — bright enough to see clearly, low enough to avoid overheating the tiny die. All datasheet specs (luminous intensity, color, forward voltage) are measured at this "test current." High-power LEDs use 350 mA or 700 mA as their reference instead.
How does milliamp-hour (mAh) relate to milliamp (mA)?
Milliamp-hours measure charge capacity; milliamps measure current flow rate. A 2,000 mAh battery can deliver 2,000 mA for 1 hour, or 200 mA for 10 hours, or 20 mA for 100 hours — current times time equals capacity. Dividing mAh by mA gives approximate runtime in hours.
ESU of current – Frequently Asked Questions
Why is the ESU of current so absurdly small compared to an ampere?
The ESU system was designed to make Coulomb's electrostatic law simple (no constants), which means its charge unit (the statcoulomb) is tiny relative to the coulomb. Since current is charge per time, the statampere inherits that smallness. One ampere is about 3 billion statamperes — the speed of light (in cm/s) divided by 10 shows up in the conversion.
What is a statampere and is it the same as an ESU of current?
Yes, the statampere and the ESU of current are exactly the same unit: approximately 3.336 × 10⁻¹⁰ A. "Statampere" is the named form; "ESU of current" is the descriptive form. The "stat-" prefix comes from "electrostatic," just as "ab-" prefix in the EMU system comes from "absolute."
What role did the ESU system play in the discovery that light is electromagnetic?
When Weber and Kohlrausch measured the ratio of ESU to EMU charge in 1856, they got a number suspiciously close to the speed of light — about 3×10¹⁰ cm/s. Maxwell realized this was no coincidence: it meant electromagnetic disturbances propagate at light speed, proving light itself is an electromagnetic wave. A unit conversion exercise led to one of the greatest discoveries in physics.
What practical problem did the ESU system solve for 19th-century telegraph engineers?
Telegraph cables behaved like long capacitors — charge stored along the line distorted signals over transatlantic distances. The ESU system, built around Coulomb's law, made capacitance calculations straightforward: no permittivity constants, just geometry and charge. William Thomson (Lord Kelvin) used ESU-based analysis to diagnose and fix signal distortion on the first transatlantic telegraph cables in the 1860s.
Why were electrostatic and electromagnetic measurements historically done in separate labs?
Electrostatic experiments (rubbing rods, Leyden jars, spark gaps) involved high voltages and tiny charges, while electromagnetic work (coils, galvanometers, telegraph lines) involved low voltages and large currents. The equipment, techniques, and even the physicists were different. Each community built units natural to their measurements — ESU for electrostatics, EMU for electromagnetics — and it took decades after Maxwell to unify them into one coherent SI framework.