Biot to Teraampere volt per ohm
Bi
TA V/Ω
Conversion History
| Conversion | Reuse | Delete |
|---|---|---|
1 Bi (Biot) → 1e-11 TA V/Ω (Teraampere volt per ohm) Just now |
Quick Reference Table (Biot to Teraampere volt per ohm)
| Biot (Bi) | Teraampere volt per ohm (TA V/Ω) |
|---|---|
| 0.1 | 0.000000000001 |
| 0.5 | 0.000000000005 |
| 1 | 0.00000000001 |
| 5 | 0.00000000005 |
| 10 | 0.0000000001 |
| 30 | 0.0000000003 |
| 100 | 0.000000001 |
About Biot (Bi)
The biot (Bi) equals exactly 10 amperes and is the base unit of electric current in the centimeter-gram-second electromagnetic (CGS-EMU) system. 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 SI ampere definition. In the CGS-EMU system the biot plays the same foundational role the ampere plays in SI: all other electromagnetic CGS-EMU units are derived from it. 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.
A current of 1 Bi equals 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.
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.
Biot – Frequently Asked Questions
Why is the biot exactly 10 amperes and not some other factor?
The CGS-EMU system defines its base units using centimeters, grams, and seconds instead of meters, kilograms, and seconds. The factor of 10 falls out naturally from the dimensional conversion: 1 Bi produces 2 dyn/cm force between wires 1 cm apart, and working through the CGS-to-SI conversion yields exactly 10 A.
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.
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.