Coulomb per second to Teraampere volt per ohm
C/s
TA V/Ω
Conversion History
| Conversion | Reuse | Delete |
|---|---|---|
1 C/s (Coulomb per second) → 1e-12 TA V/Ω (Teraampere volt per ohm) Just now |
Quick Reference Table (Coulomb per second to Teraampere volt per ohm)
| Coulomb per second (C/s) | Teraampere volt per ohm (TA V/Ω) |
|---|---|
| 0.1 | 0.0000000000001 |
| 1 | 0.000000000001 |
| 5 | 0.000000000005 |
| 10 | 0.00000000001 |
| 20 | 0.00000000002 |
| 100 | 0.0000000001 |
About Coulomb per second (C/s)
The coulomb per second (C/s) is a derived SI expression for electric current that makes the physical definition explicit: one ampere is exactly one coulomb of charge passing a point per second. The relationship I = Q/t links current (A), charge (C), and time (s). While C/s and A are numerically identical and dimensionally equivalent, the C/s form appears in physics textbooks and dimensional analyses where the derivation from charge and time is instructive rather than treating the ampere as primitive. In calculations tracking charge accumulation — capacitor discharge, electroplating, or battery coulomb-counting — expressing current in C/s clarifies the unit chain.
A capacitor delivering 1 C of charge over 1 second discharges at exactly 1 C/s = 1 A. A 500 mA USB charger transfers 0.5 C of charge each second.
About Teraampere volt per ohm (TA V/Ω)
The teraampere volt per ohm (TA·V/Ω) equals exactly 10¹² amperes, derived from Ohm s law (I = V/R) with a tera- prefix: (volt)/(ohm) = ampere, scaled by 10¹². No natural or engineered system on Earth produces currents remotely approaching one teraampere; the unit exists as a dimensional expression used in extreme theoretical physics, astrophysics (stellar current sheets, pulsar magnetospheres), and unit-conversion pedagogy. The notation makes Ohm s law dimensionally explicit at an extreme scale and serves as a reminder that SI prefixes can be applied consistently to derived units.
One teraampere would require one teravolt across one ohm — voltages found only near highly magnetised neutron stars. The unit is encountered in astrophysics and theoretical electrodynamics rather than any lab or industrial setting.
Coulomb per second – Frequently Asked Questions
Why bother writing coulombs per second when it is just amperes?
In dimensional analysis and physics derivations, C/s makes the relationship between charge and current explicit. When you are computing how much silver an electroplating bath deposits (Faraday's law), writing current as C/s reminds you that charge = current × time, which directly gives the mass deposited.
How many electrons is one coulomb?
One coulomb is approximately 6.242 × 10¹⁸ electrons — about 6.2 quintillion. At 1 C/s (1 A), that many electrons pass a point in your wire every single second. A USB cable charging your phone at 2 A carries 12.5 quintillion electrons per second. The numbers are staggering but the charges are tiny.
Is coulombs per second used in any real-world instrument or specification?
Not directly — every instrument reads in amperes or milliamperes. But coulomb-counting battery fuel gauges internally track charge in coulombs by integrating current over time: ∫I dt. The C/s framing appears in battery management system firmware and electrochemistry literature where charge balance matters.
How does Faraday's law of electrolysis use coulombs to predict metal deposition?
Faraday discovered that the mass of metal deposited at an electrode is directly proportional to the total charge passed (in coulombs). For silver, 107.87 grams deposit per 96,485 C (one Faraday). So a 10 A electroplating bath running for 1 hour passes 36,000 C and deposits about 40 g of silver. Thinking in C/s makes the calculation: current × time × atomic weight / (valence × 96,485).
How does coulomb counting work in battery management systems?
A shunt resistor or Hall sensor continuously measures current flowing in and out of the battery. The BMS integrates this current over time (summing C/s × Δt) to track net charge. Drift and measurement errors accumulate, so smart BMS designs periodically recalibrate against voltage-based state-of-charge estimates.
Teraampere volt per ohm – Frequently Asked Questions
Does anything in the universe carry a teraampere of current?
Possibly. Astrophysical jets from active galactic nuclei are theorised to carry currents of 10¹⁷–10¹⁸ amperes — millions of teraamperes — flowing along magnetic field lines spanning thousands of light-years. Pulsar magnetospheres may sustain teraampere-class currents in their polar regions. On Earth, nothing comes remotely close.
Why write TA·V/Ω instead of just teraampere?
The notation makes the derivation from Ohm's law explicit: I = V/R, scaled by tera. It appears in pedagogical contexts showing that SI prefixes apply consistently to derived expressions, and in astrophysics papers where the V/Ω form reminds readers of the physical relationship producing the current — a voltage driving charge through a resistance.
What voltage would you need to push a teraampere through a wire?
Even through a superconductor (zero DC resistance), you would need enormous energy to establish the magnetic field of a teraampere current. Through a 1 Ω resistor, Ohm's law says you would need 10¹² volts (1 teravolt). The power dissipated would be 10²⁴ watts — about 2.6 million times the Sun's total luminosity. The wire would not survive.
How do astrophysical current sheets reach teraampere scales?
In astrophysical jets and magnetospheres, charged plasma flows along magnetic field lines over enormous cross-sections — millions of square kilometers. Even modest current densities, integrated over these vast areas, yield teraampere total currents. The plasma is the conductor, and the "voltage" comes from the rotating magnetic field of the central object.
Is there any practical unit between megaampere and teraampere?
The gigaampere (GA, 10⁹ A) fills that gap but is almost never used. No terrestrial phenomenon or experiment reaches gigaampere levels. The jump from megaampere (achievable in pulsed-power labs) to teraampere (astrophysical only) reflects a genuine gap in nature — there is simply nothing on Earth that produces currents between 10⁶ and 10⁹ amperes.