This article will show how to convert electrical resistance measurement units from ohms (Ω) to nanoohms (nΩ). We will cover essential definitions, provide examples, share relevant formulas, and present tables, along with answers to common questions.
Definitions of Ohm and Nanoohm
Let’s get started by understanding the key definitions of Ohm (Ω) and Nanoohm (nΩ). Understanding these terms will allow you to perform conversions confidently.
What is Ohm?
The ohm (Ω) is the SI derived unit of electrical resistance. It is defined as the resistance between two points of a conductor when a constant potential difference of one volt is applied across those points, producing a current of one ampere in the conductor, assuming no additional electromotive force is present.[1]
According to SI prefixes[2], which are based on powers of 10, an ohm (1 Ω) is equivalent to one billion nanoohms (109 nΩ or 1,000,000,000 nΩ).
What is Nanoohm?
A nanoohm (nΩ) is a unit of electrical resistance in the SI system equal to one billionth (1/1,000,000,000) of an ohm (10-9 Ω).
Nanoohms become crucial only in extreme precision fields like superconductor research, quantum computing development, or aerospace material testing, where measuring near-zero resistance down to billionths of an ohm determines success or failure of cutting-edge technology.
Ω to nΩ formula
Let’s take a closer look at the conversion formula so you can carry out these conversions independently, whether using a calculator or doing it manually with pencil and paper.
The nano- prefix in the International System of Units (SI) represents a multiplier of 10-9 (0.000000001). So, to convert from ohms to nanoohms, multiply the number of ohms (R(Ω)) by 109 (1,000,000,000).
R(nΩ) = R(Ω) × 109 = R(Ω) × 1,000,000,000
Or remember the Ω-to-nΩ conversion factor: 1 Ω = 1,000,000,000 nΩ
Ω to nΩ conversion table
The conversion table below provides a handy reference for converting electrical resistance measurement units from ohms (Ω) to nano-ohms (nΩ). It covers a range from 0.1 Ω to 1,000 Ω, allowing for easy and quick conversions between these units of measurement.
| Ohms (Ω) | Nanoohms (nΩ) |
|---|---|
| 0.1 Ω | 100,000,000 nΩ |
| 0.5 Ω | 500,000,000 nΩ |
| 1 Ω | 1,000,000,000 nΩ |
| 2 Ω | 2,000,000,000 nΩ |
| 4 Ω | 4,000,000,000 nΩ |
| 5 Ω | 5,000,000,000 nΩ |
| 10 Ω | 10,000,000,000 nΩ |
| 20 Ω | 20,000,000,000 nΩ |
| 30 Ω | 30,000,000,000 nΩ |
| 40 Ω | 40,000,000,000 nΩ |
| 50 Ω | 50,000,000,000 nΩ |
| 60 Ω | 60,000,000,000 nΩ |
| 70 Ω | 70,000,000,000 nΩ |
| 80 Ω | 80,000,000,000 nΩ |
| 90 Ω | 90,000,000,000 nΩ |
| 100 Ω | 100,000,000,000 nΩ |
| 200 Ω | 200,000,000,000 nΩ |
| 500 Ω | 500,000,000,000 nΩ |
| 800 Ω | 800,000,000,000 nΩ |
| 1,000 Ω | 1,000,000,000,000 nΩ |
Examples
Now, let's look at an example that illustrates the calculations required to convert from ohms to nanoohms (Ω to nΩ).
Example: High-Sensitivity Electrical Contact Resistance Measurement
Advanced electrical connectors used in aerospace and medical devices require ultra-low resistance values to ensure optimal performance.
If a contact interface has a resistance of 0.000005 Ω, what is its resistance in nanoohms? You need it to verify conductivity.
Solution
Since 1 ohm (Ω) = 109 = 1,000,000,000 nanoohms (nΩ), we can convert 0.000005 Ω to nanoohms by using the following formula:
Therefore, the 0.000005 Ω electrical resistance is equivalent to 5,000 nΩ.
To solve the problem with our calculator, follow the steps below:
- Enter the value in ohms: For this example, enter
0.000005into the From box. - View the result: The converter instantly calculates and displays the equivalent value in nanoohms:
5,000 nΩ.
FAQs
Is 1 ohm or 1 nanoohm larger?
An ohm (Ω) is a billion times bigger than a nanoohm (nΩ). Here are the relationships between the units:
1 Ω = 109 = 1,000,000,000 nΩ1 nΩ = 10-9 = 1 ÷ 1,000,000,000 = 0.000000001 Ω
How to convert from ohms to nanohms?
To convert electrical resistance from ohms (Ω) to nanoohms (nΩ), follow these simple steps:
- Write down the electrical resistance value in ohms
(Ω). - Multiply it by the value of a
Ω-to-nΩconversion factor:109or1,000,000,000. - The result of multiplication is the value of the electrical resistance in
nanoohms (nΩ).
Why do I need to convert ohms to nanoohms?
Converting ohms to nanoohms is crucial for simplifying ultra-low resistance measurements in high-precision fields such as superconductivity and quantum computing. By expressing very small values in nanoohms, you avoid cumbersome decimals and make data easier to compare and analyze.
You now know how to convert electrical resistance from ohms (Ω) to nanoohms (nΩ). You can quickly use our calculator to convert between the electric resistance measurement units to save time for future calculations.
