Statohms to Abohms Converter

How to Convert Statohms to Abohms

To convert an electrical resistance measurement from statohms to abohms, multiply the resistance value by the conversion factor. Since one statohm is equal to 8.9876 × 10²⁰ abohms, you can use this formula:

The resistance in abohms is equal to the statohms multiplied by 8.9876 × 10²⁰.

How Many Abohms Are in a Statohm?

There are 8.9876 × 10²⁰ abohms in one statohm.

What Is a Statohm?

The statohm (symbol: statΩ) is the unit of electrical resistance in the centimetre–gram–second electrostatic (CGS-ESU) system of units. One statohm is an extremely large unit of resistance, equal to approximately 8.988 × 10¹¹ ohms (about 899 gigaohms). The statohm is defined from the fundamental CGS-ESU electromagnetic relations. In the ESU system, the unit of charge (statcoulomb) is defined in terms of the electrostatic force between charges, and the other electrical units follow from this. The statohm relates to the ohm through the speed of light: 1 statΩ = c² × 10⁻⁹ Ω (where c is the speed of light in CGS units). The enormous magnitude of the statohm reflects the fundamental difference in how the ESU system scales electrical quantities compared to SI. While the ESU system was historically used in electrostatics and theoretical physics, it has been entirely superseded by SI units in modern practice. The statohm occasionally appears in older theoretical physics literature and in textbooks discussing the history of electromagnetic unit systems. Understanding the relationship between the statohm and the ohm helps illustrate how different choices of fundamental constants lead to different unit magnitudes.

One statohm is equal to:

• 8.988 × 10¹¹ ohms (Ω)
• 898.755 gigaohms (GΩ)
• 898,755 megaohms (MΩ)
• 8.988 × 10⁸ kiloohms (kΩ)
• 8.988 × 10²⁰ abohms (abΩ)

What Is a Abohm?

The abohm (symbol: abΩ) is the unit of electrical resistance in the centimetre–gram–second electromagnetic (CGS-EMU) system of units. One abohm equals exactly 10⁻⁹ ohms (one nanoohm). The abohm is defined from the fundamental CGS-EMU electromagnetic relations. In the EMU system, the unit of current (abampere = 10 amperes) is defined in terms of the magnetic force between current-carrying conductors, and the other electrical units follow from this. The abohm is the ratio of one abvolt to one abampere. Because 1 abohm equals exactly 1 nanoohm, the abohm represents a very small resistance. The resistance of short lengths of thick copper wire, busbar joints, and superconductor connections at cryogenic temperatures falls in the abohm range. Like other CGS electromagnetic units, the abohm is primarily of historical and pedagogical interest. It was used in early electrical engineering and physics before the adoption of the international (later SI) system of units. Understanding the abohm and its relationship to the ohm helps in reading older scientific literature and understanding the development of electromagnetic unit systems. The relationship between abohm and statohm illustrates the role of the speed of light in connecting the ESU and EMU systems: 1 statΩ = c² abΩ (where c is in CGS units).

One abohm is equal to:

• 10⁻⁹ ohms (Ω) = 1 nanoohm
• 0.001 microohms (μΩ)
• 10⁻⁶ milliohms (mΩ)
• 10⁻¹² kiloohms (kΩ)
• 1.1127 × 10⁻²¹ statohms (statΩ)

Understanding Electrical Resistance Units

Electrical resistance is a measure of the opposition to the flow of electric current through a conductor. It is defined by Ohm’s law as the ratio of voltage to current (R = V/I). Resistance depends on the material’s resistivity, the length of the conductor, and its cross-sectional area (R = ρL/A).

Resistance converts electrical energy into heat, which is the basis of resistive heating in toasters, electric heaters, and incandescent light bulbs. In electronic circuits, resistors are used to control current flow, divide voltages, bias active components, and set time constants.

Major Resistance Unit Families

• SI units: The ohm (Ω) is the SI unit of resistance, with standard metric prefixes: nanoohm (nΩ = 10⁻⁹ Ω), microohm (μΩ = 10⁻⁶ Ω), milliohm (mΩ = 10⁻³ Ω), kiloohm (kΩ = 10³ Ω), megaohm (MΩ = 10⁶ Ω), and gigaohm (GΩ = 10⁹ Ω).
• CGS-EMU unit: The abohm (abΩ) is the resistance unit in the electromagnetic CGS system. 1 abΩ = 10⁻⁹ Ω = 1 nΩ.
• CGS-ESU unit: The statohm (statΩ) is the resistance unit in the electrostatic CGS system. 1 statΩ ≈ 8.988 × 10¹¹ Ω, an extremely large value reflecting the different scaling of ESU electrical quantities.

Resistance in Everyday Life

• Wiring: Household copper wiring has very low resistance (milliohms per metre) to minimise voltage drops and heating.
• Electronics: Resistors in circuits range from fractions of an ohm (current sense) to megaohms (high-impedance inputs).
• Insulation: Good electrical insulation has resistance in the megaohm to gigaohm range, preventing current leakage.
• Human body: Dry skin has a resistance of 10,000–100,000 Ω, but wet skin can be as low as 1,000 Ω, which is why water and electricity are dangerous together.

Converting Between Resistance Units

All resistance units measure the same physical quantity, so converting between them requires multiplying by the appropriate conversion factor. For SI prefixed units, each step is a factor of 1,000. The CGS units involve the speed of light constant for the statohm, while the abohm is simply 10⁻⁹ ohms.

Tips for Resistance Conversions

• For SI prefix conversions (nΩ, μΩ, mΩ, Ω, kΩ, MΩ, GΩ), each step is a factor of 1,000. So 1 kΩ = 1,000 Ω = 1,000,000 mΩ.
• The abohm is exactly equal to the nanoohm: 1 abΩ = 1 nΩ = 10⁻⁹ Ω. They’re interchangeable.
• The statohm is an enormous unit: 1 statΩ ≈ 899 GΩ. It is rarely used in modern practice.
• To convert ohms to kiloohms, divide by 1,000. To convert kiloohms to megaohms, divide by 1,000 again.
• Resistor colour codes and standard values (E-series) are always expressed in ohms. A “4.7k” resistor is 4,700 Ω = 4.7 kΩ.
• In schematics, resistance values are often shortened: 4k7 = 4.7 kΩ, 2M2 = 2.2 MΩ, 47R = 47 Ω.
• The relationship between statohm and abohm involves the speed of light squared: 1 statΩ = c² × 1 abΩ (in CGS units), or about 8.988 × 10²⁰ abohms.
• When measuring very low resistances (milliohms and below), always use four-terminal (Kelvin) connections to eliminate lead resistance errors.

Statohms to Abohms Conversion Table

The following table shows conversions from statohms to abohms.

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