This article will show how to convert electrical resistance measurement units from milliohms (mΩ) 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, Milliohm, and Nanoohm
Let’s get started by understanding the key definitions of Ohm (Ω), Milliohm (mΩ), and Nanoohm (nΩ). Understanding these terms will enable you to perform conversions with confidence.
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 thousand milliohms (103 mΩ or 1,000 mΩ).
What is Milliohm?
A milliohm (mΩ) is a unit of electrical resistance in the SI system equal to one thousandth (1/1,000) of an ohm (10-3 Ω).
It is commonly used in fields such as power distribution, precision electronic testing, and industrial motor evaluation. Accurately measuring very low resistance values is essential for determining the efficiency and reliability of these systems.
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.
mΩ 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 milli- prefix in the International System of Units (SI) corresponds to a multiplier of 10-3 (0.001) while the nano- prefix represents 10-9 (0.000000001).
To convert milliohms (mΩ) to nanoohms (nΩ), multiply the resistance value in milliohms by 106 (1,000,000), since 1 milliohm equals 1,000,000 nanoohms.
R(nΩ) = R(mΩ) × 106 = R(mΩ) × 1,000,000
Or remember the mΩ-to-nΩ conversion factor: 1 mΩ = 1,000,000 nΩ
mΩ to nΩ conversion table
The conversion table below provides a handy reference for converting electrical resistance measurement units from milliohms (mΩ) to nanoohms (nΩ). It covers a range from 0.1 mΩ to 1,000 mΩ, allowing for easy and quick conversions between these units of measurement.
| Milliohms (mΩ) | Nanoohms (nΩ) |
|---|---|
| 0.1 mΩ | 100,000 nΩ |
| 0.5 mΩ | 500,000 nΩ |
| 1 mΩ | 1,000,000 nΩ |
| 2 mΩ | 2,000,000 nΩ |
| 4 mΩ | 4,000,000 nΩ |
| 5 mΩ | 5,000,000 nΩ |
| 10 mΩ | 10,000,000 nΩ |
| 20 mΩ | 20,000,000 nΩ |
| 30 mΩ | 30,000,000 nΩ |
| 40 mΩ | 40,000,000 nΩ |
| 50 mΩ | 50,000,000 nΩ |
| 60 mΩ | 60,000,000 nΩ |
| 70 mΩ | 70,000,000 nΩ |
| 80 mΩ | 80,000,000 nΩ |
| 90 mΩ | 90,000,000 nΩ |
| 100 mΩ | 100,000,000 nΩ |
| 200 mΩ | 200,000,000 nΩ |
| 500 mΩ | 500,000,000 nΩ |
| 800 mΩ | 800,000,000 nΩ |
| 1,000 mΩ | 1,000,000,000 nΩ |
Examples
Now, let's look at an example that illustrates the calculations required to convert from milliohms to nanoohms (mΩ to nΩ).
Example: High-Precision PCB Trace Resistance Analysis
Printed circuit board (PCB) traces must maintain minimal resistance to prevent signal degradation. Converting resistance values to nanoohms helps engineers optimize circuit performance.
If a PCB trace has a resistance of 0.008 mΩ, what is its equivalent in nanoohms?
Solution
Since 1 milliohm (mΩ) = 1,000,000 nanoohms (nΩ), we can convert 0.008 mΩ to nanoohms by using the following formula:
Therefore, the 0.008 mΩ electrical resistance is equivalent to 8,000 nΩ.
To solve the problem with our calculator, follow the steps below:
- Enter the value in milliohms: For this example, enter
0.008into the From box. - View the result: The converter instantly calculates and displays the equivalent value in nanoohms:
8,000 nΩ.
FAQs
Is 1 milliohm or 1 nanoohm larger?
A milliohm (mΩ) is a million times bigger than a nanoohm (nΩ). Here are the relationships between the units:
1 mΩ = 106 = 1,000,000 nΩ1 nΩ = 10-6 = 1 ÷ 1,000,000 = 0.000001 mΩ
How to convert from milliohms to nanoohms?
To convert electrical resistance from milliohms (mΩ) to nanoohms (nΩ), follow these simple steps:
- Step 1: Write down the electrical resistance value in milliohms (mΩ).
- Step 2: Multiply it by a million (
1,000,000). - Step 3: The result is the value of the electrical resistance in nanoohms (nΩ).
Why do I need to convert milliohms to nanoohms?
Converting milliohms to nanoohms is useful when dealing with extremely low resistance values in precision measurements. Expressing a value in nanoohms instead of milliohms eliminates small decimals and makes the numbers easier to compare and analyze.
This is particularly important in applications such as superconductivity research, semiconductor testing, and aerospace wiring, where very low resistances can be critical to system performance.
For example, rather than expressing a resistance of 0.005 mΩ, converting it to 5,000 nΩ simplifies the representation and reduces the chance of misinterpretation.
You now know how to convert electrical resistance from milliohms (mΩ) to nanoohms (nΩ). You can quickly use our calculator to convert between the electric resistance measurement units to save time for future calculations.
