This article will show how to convert electrical resistance measurement units from nanoohms (nΩ) to milliohms (mΩ). We will cover essential definitions, provide examples, share relevant formulas, and present tables, along with answers to common questions.
Definitions of Ohm, Nanoohm, and Milliohm
Let’s get started by understanding the key definitions of Ohm (Ω), Nanoohm (nΩ), and Milliohm (mΩ). 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 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.
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.
nΩ to mΩ 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) corresponds to a multiplier of 10-9 (0.000000001) while the milli- prefix represents 10-3 (0.001).
To convert nanoohms (nΩ) to milliohms (mΩ), divide the resistance value in nanoohms by 106 (1,000,000), since 1 milliohm equals 1,000,000 nanoohms.
R(mΩ) = R(nΩ) ÷ 106 = R(nΩ) ÷ 1,000,000
Or remember the nΩ-to-mΩ conversion factor: 1 nΩ = 10-6 = 0.000001 mΩ
nΩ to mΩ conversion table
The conversion table below provides a handy reference for converting electrical resistance measurement units from nanoohms (nΩ) to milliohms (mΩ). It covers a range from 0.1 nΩ to 1,000 nΩ, allowing for easy and quick conversions between these units of measurement.
| Nanoohms (nΩ) | Milliohms (mΩ) |
|---|---|
| 0.1 nΩ | 0.0000001 mΩ |
| 0.5 nΩ | 0.0000005 mΩ |
| 1 nΩ | 0.000001 mΩ |
| 2 nΩ | 0.000002 mΩ |
| 4 nΩ | 0.000004 mΩ |
| 5 nΩ | 0.000005 mΩ |
| 10 nΩ | 0.00001 mΩ |
| 20 nΩ | 0.00002 mΩ |
| 30 nΩ | 0.00003 mΩ |
| 40 nΩ | 0.00004 mΩ |
| 50 nΩ | 0.00005 mΩ |
| 60 nΩ | 0.00006 mΩ |
| 70 nΩ | 0.00007 mΩ |
| 80 nΩ | 0.00008 mΩ |
| 90 nΩ | 0.00009 mΩ |
| 100 nΩ | 0.0001 mΩ |
| 200 nΩ | 0.0002 mΩ |
| 500 nΩ | 0.0005 mΩ |
| 800 nΩ | 0.0008 mΩ |
| 1,000 nΩ | 0.001 mΩ |
Examples
Now, let's look at an example that illustrates the calculations required to convert from nanoohms to milliohms (nΩ to mΩ).
Example: Laboratory Calibration of Ultra-Low Value Resistors
In research laboratories, precise calibration of resistors is critical. Test equipment may capture connection resistances in nanoohms. Converting these values to milliohms ensures consistency with calibration standards.
If a resistor connection measures 2,500,000 nΩ, what is the equivalent value in milliohms?
Solution
Since 1 milliohm (mΩ) = 1,000,000 nanoohms (nΩ), we can convert 2,500,000 nΩ to milliohms by using the following formula:
Therefore, the 2,500,000 nΩ electrical resistance is equivalent to 2.5 mΩ.
To solve the problem with our calculator, follow the steps below:
- Enter the value in nanoohms: For this example, enter
2,500,000into the From box. - View the result: The converter instantly calculates and displays the equivalent value in milliohms:
2.5 mΩ.
FAQs
Is 1 nanoohm or 1 milliohm 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 nanoohms to milliohms?
To convert electrical resistance from nanoohms (nΩ) to milliohms (mΩ), follow these simple steps:
- Step 1: Write down the electrical resistance value in nanoohms (nΩ).
- Step 2: Divide it by a million (
1,000,000). - Step 3: The result is the value of the electrical resistance in milliohms (mΩ).
Why do I need to convert nanoohms to milliohms?
Converting nanoohms to milliohms is important because nanoohms represent extremely small resistance values that are impractical to use directly in design and analysis. Since one milliohm equals 1,000,000 nanoohms, converting these values produces more manageable numbers that are easier to compare with standard specifications, integrate into simulation models, and document accurately.
This conversion simplifies calculations and reduces the risk of errors when working with ultra-low resistances in applications such as power electronics, high-speed interconnects, and precision laboratory measurements.
You now know how to convert electrical resistance from nanoohms (nΩ) to milliohms (mΩ). You can quickly use our calculator to convert between the electric resistance measurement units to save time for future calculations.
