Nanoohms to Statohms Converter

How to Convert Nanoohms to Statohms

To convert an electrical resistance measurement from nanoohms to statohms, divide the resistance value by the conversion factor. Since one nanoohm is equal to 1.1127 × 10^-21 statohms, you can use this formula:

The resistance in statohms is equal to the nanoohms divided by 8.9876 × 10²⁰.

How Many Statohms Are in a Nanoohm?

There are 1.1127 × 10^-21 statohms in one nanoohm.

What Is a Nanoohm?

The nanoohm (symbol: nΩ) is a unit of electrical resistance equal to one billionth (10⁻⁹) of an ohm. The prefix “nano” denotes a factor of 10⁻⁹ in the International System of Units. Nanoohms are used to measure extremely small resistances encountered in superconductor research, high-current busbars, and precision metrology. The contact resistance of high-quality electrical connectors, the resistance of short lengths of heavy copper busbar, and the residual resistance of materials near absolute zero are all measured in nanoohms. In power engineering, the resistance of busbar joints and cable splices carrying thousands of amperes is critical for minimising energy losses and preventing overheating. A well-made bolted busbar joint should have a contact resistance below 100 nΩ. In superconductor research, true superconductors have zero DC resistance below their critical temperature, but practical measurements of “zero” resistance involve detecting resistances in the nanoohm range to confirm the superconducting state. Nanoohm-level measurements require specialised four-terminal (Kelvin) measurement techniques with high-current sources and sensitive nanovoltmeters to overcome thermoelectric and noise effects.

One nanoohm is equal to:

• 10⁻⁹ ohms (Ω)
• 0.001 microohms (μΩ)
• 10⁻⁶ milliohms (mΩ)
• 1 abohm (abΩ)
• 1.1127 × 10⁻²¹ statohms (statΩ)

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)

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.

Nanoohms to Statohms Conversion Table

The following table shows conversions from nanoohms to statohms.

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