Teraampere volt per ohm to Biot
TA V/Ω
Bi
Conversion History
| Conversion | Reuse | Delete |
|---|---|---|
1 TA V/Ω (Teraampere volt per ohm) → 100,000,000,000 Bi (Biot) Just now · Rounding: Up to 8 significant figures | Recalculate this conversion using your current rounding settings. |
Quick Reference Table (Teraampere volt per ohm to Biot)
| Teraampere volt per ohm (TA V/Ω) | Biot (Bi) |
|---|---|
| 0.000001 | 100,000 |
| 0.00001 | 1,000,000 |
| 0.0001 | 10,000,000 |
| 0.001 | 100,000,000 |
| 0.01 | 1,000,000,000 |
| 1 | 100,000,000,000 |
Results rounded to a maximum of 8 significant figures
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.
About Biot (Bi)
The biot (Bi) is the base unit of electric current in the centimeter-gram-second electromagnetic (CGS-EMU) system. Under the traditional pre-2019 CGS-to-SI mapping retained by this converter, one biot corresponds to 10 amperes. It is defined as the current in a pair of parallel conductors 1 cm apart that produces a force of 2 dynes per centimeter length — the CGS-EMU analogue of the former force-based SI ampere definition. The biot, EMU of current, and CGS e.m. unit are exactly the same current unit within CGS-EMU. Their 10 A relationship is a historical conversion convention rather than an exact physical conversion to the post-2019 SI, in which vacuum permeability is experimentally determined. The biot is essentially obsolete in modern practice, but it appears in older physics literature and classical electrodynamics textbooks alongside the dyne, gauss, and oersted.
Under the traditional mapping used here, 1 Bi corresponds to 10 A — roughly the draw of a domestic electric kettle. References to the biot appear primarily in historical or theoretical contexts, not modern instrumentation.
Etymology: Named after Jean-Baptiste Biot (1774–1862), French physicist who, with Félix Savart, established the Biot–Savart law describing the magnetic field generated by a steady electric current.
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.
Biot – Frequently Asked Questions
Why does this converter map one biot to 10 amperes?
The CGS-EMU system defines its base units using centimeters, grams, and seconds instead of meters, kilograms, and seconds. Under the former force-based SI ampere definition, converting the force between parallel currents made 1 Bi exactly 10 A. Since the 2019 SI redefinition, vacuum permeability is experimentally determined, so this converter retains 10 A as the stable traditional CGS-to-SI reference mapping rather than presenting it as an exact modern physical conversion.
Who was Jean-Baptiste Biot and why does he have a current unit?
Biot was a French physicist (1774–1862) who co-discovered the Biot–Savart law in 1820, describing how electric current generates a magnetic field in space. This was one of the foundational results linking electricity to magnetism. The CGS community honored him by naming their electromagnetic current unit after him.
Does anyone still use the biot in modern physics?
Essentially no. Even theorists who prefer CGS units typically use Gaussian units rather than pure CGS-EMU. The biot appears mainly in textbook conversion tables, historical physics papers, and graduate-level electrodynamics courses that teach multiple unit systems for pedagogical reasons.
How do I convert between biots and amperes?
Multiply biots by 10 to get amperes; divide amperes by 10 to get biots. A 30 A circuit carries 3 Bi; a 0.5 Bi current is 5 A. It is one of the simplest unit conversions in physics — just move the decimal point one place.
What is the Biot-Savart law and how does it relate to the biot unit?
The Biot-Savart law calculates the magnetic field produced by a small segment of current-carrying wire at any point in space. In CGS-EMU, it uses biots for current and gauss for the field. In SI it uses amperes and teslas. The law itself is fundamental — it is used to design MRI magnets, motors, and particle accelerators.