Stathenries to Abhenries Converter

How to Convert Stathenries to Abhenries

To convert an inductance measurement from stathenries to abhenries, multiply the inductance value by the conversion factor. Since one stathenry is equal to 8.9876 × 10²⁰ abhenries, you can use this formula:

The inductance in abhenries is equal to the stathenries multiplied by 8.9876 × 10²⁰.

How Many Abhenries Are in a Stathenry?

There are 8.9876 × 10²⁰ abhenries in one stathenry.

What Is a Stathenry?

The stathenry (symbol: stH) is the unit of electrical inductance in the centimetre–gram–second electrostatic (CGS-ESU) system of units. One stathenry is an extremely large inductance, equal to approximately 8.988 × 10¹¹ henries (about 899 billion henries). The enormous size of the stathenry in SI terms arises from the fundamental structure of the CGS-ESU system, which is based on Coulomb’s law with the electric constant set to unity. The conversion factor involves the square of the speed of light (c²), which is a very large number: 1 stathenry = c² × 10⁻⁹ henries, where c = 2.998 × 10¹⁰ cm/s. Because one stathenry is so enormously large compared to practical inductance values, the stathenry is essentially never used for practical measurements. It serves primarily as a theoretical unit within the CGS-ESU framework. The relationship between the stathenry and the abhenry reflects the ratio between the ESU and EMU systems: 1 stathenry = c² × 10⁻¹⁸ × 10⁹ abhenries ≈ 8.988 × 10²⁰ abhenries. This enormous ratio is a consequence of the speed of light appearing in the conversion between electrostatic and electromagnetic CGS units.

One stathenry is equal to:

• 8.988 × 10¹¹ henries (H)
• 8.988 × 10¹⁴ millihenries (mH)
• 8.988 × 10¹⁷ microhenries (μH)
• 8.988 × 10²⁰ abhenries (abH)

What Is a Abhenry?

The abhenry (symbol: abH) is the unit of electrical inductance in the centimetre–gram–second electromagnetic (CGS-EMU) system of units. One abhenry is equal to exactly 10⁻⁹ henries (one nanohenry). The name “abhenry” is short for “absolute henry” in the CGS-EMU system. In this system, the fundamental electromagnetic units are derived from the centimetre, gram, and second, with the magnetic constant (μ₀) set to unity (dimensionless). The abhenry is numerically equal to the nanohenry (nH), making it a very small unit of inductance. Values in abhenries are typically encountered when working with parasitic inductances of short conductors, bond wires in integrated circuits, and PCB vias. While the CGS-EMU system has been largely superseded by SI units, the abhenry still appears in older physics textbooks, historical scientific literature, and in some specialised fields that traditionally used the CGS system. Understanding the abhenry helps in reading and interpreting these older sources.

One abhenry is equal to:

• 10⁻⁹ henries (H) = 1 nanohenry (nH)
• 10⁻⁶ millihenries (mH)
• 0.001 microhenries (μH)
• 1.1127 × 10⁻²¹ stathenries (stH)

Understanding Electrical Inductance Units

Inductance is the property of an electrical conductor by which a change in current flowing through it induces an electromotive force (EMF) in the conductor itself (self-inductance) or in a nearby conductor (mutual inductance). It is one of the fundamental quantities in electromagnetism, along with resistance and capacitance.

The physical basis of inductance is Faraday’s law of electromagnetic induction: a changing magnetic field induces an electric field. When current flows through a conductor, it creates a magnetic field. If the current changes, the magnetic field changes, which induces a voltage that opposes the change in current (Lenz’s law). The ratio of the induced voltage to the rate of current change is the inductance.

Major Unit Families

• SI units: The henry (H) is the SI unit of inductance, with standard metric prefixes: μH (microhenry, 10⁻⁶ H), mH (millihenry, 10⁻³ H), kH (kilohenry, 10³ H), MH (megahenry, 10⁶ H), GH (gigahenry, 10⁹ H).
• CGS-EMU: The abhenry (abH) is the inductance unit in the CGS electromagnetic system. 1 abH = 10⁻⁹ H = 1 nanohenry. It is a very small unit.
• CGS-ESU: The stathenry (stH) is the inductance unit in the CGS electrostatic system. 1 stH ≈ 8.988 × 10¹¹ H. It is an enormously large unit due to the factor of c² in the conversion.

Inductance in Practice

• Electronic components: Chip inductors: 0.001–1,000 μH. Power inductors: 0.1–100 mH. Transformers: 0.01–100 H.
• Parasitic inductance: PCB traces: ~1 nH/cm. IC bond wires: 1–5 nH. Through-hole vias: 0.5–2 nH.
• Audio equipment: Speaker voice coils: 0.5–3 mH. Crossover network inductors: 0.1–10 mH.
• Power systems: Large power transformers: 0.1–10 H. Reactor coils: 0.01–1 H.

Converting Between Inductance Units

All inductance units measure the same physical quantity, so converting between them is a matter of multiplying by the appropriate conversion factor. For SI prefix conversions, each step is a factor of 1,000. The CGS conversions involve fixed factors: 1 abH = 10⁻⁹ H (exact) and 1 stH = c² × 10⁻⁹ H (where c ≈ 2.998 × 10¹⁰ cm/s).

Tips for Inductance Conversions

• For SI metric conversions (μH, mH, H, kH, MH, GH), each prefix step is a factor of 1,000.
• The abhenry equals exactly 10⁻⁹ henries, which is the same as 1 nanohenry (nH). This makes conversion straightforward.
• The stathenry is enormous: 1 stH ≈ 899 billion henries. The conversion factor involves the speed of light squared (c²).
• The ratio of 1 stathenry to 1 abhenry is c² (in CGS units) ≈ 8.988 × 10²⁰. This reflects the fundamental relationship between electrostatic and electromagnetic units.
• Most practical electronic inductors have values between 0.01 μH and 100 mH. Very few components exceed 10 H.
• When reading component datasheets, pay attention to whether the inductance is in μH, mH, or H. A factor-of-1,000 error can be catastrophic in circuit design.
• In RF (radio frequency) circuits, inductance values are typically in the 0.1–100 μH range. In power electronics, they are typically 1–100 mH.

Stathenries to Abhenries Conversion Table

The following table shows conversions from stathenries to abhenries.

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