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Abohm to Milliohm (abΩ to mΩ) Calculator & Formula

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Live Conversion • ISO 80000-6:2022 Certified
1 Abohm = 1 × 10⁻⁶ Milliohm
1 abΩ = 1 × 10⁻⁶ mΩ • 1 mΩ = 1,000,000 abΩ
Abohm to Milliohm: One Abohm is equal to 1 × 10⁻⁶ Milliohms.
Certified Authority Value
0.00000100
mΩ
Exact: 1 mΩ ≡ 1000000 abΩ
abΩ
abΩ
mΩ
mΩ 1 × 10⁻⁶
Quick Values:
Conversion Formula
To convert Abohm to Milliohm, multiply by 1 × 10⁻⁶
abΩ × 1 × 10⁻⁶ = mΩ

Calculation: 1 abΩ × 1 × 10⁻⁶ = 1 × 10⁻⁶ mΩ

Common Abohm to Milliohm Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Abohm (abΩ) and Milliohm (mΩ).

Tap any row to calculate
Abohm to Milliohm: Primary Direct Table (15 Steps)
Abohm to Milliohm Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 abΩ 1 × 10⁻⁹ mΩ 1 × 10⁻⁹
0.01 abΩ 1 × 10⁻⁸ mΩ 1 × 10⁻⁸
0.1 abΩ 1 × 10⁻⁷ mΩ 1 × 10⁻⁷
0.5 abΩ 5 × 10⁻⁷ mΩ 5 × 10⁻⁷
1 abΩ 1 × 10⁻⁶ mΩ 1 × 10⁻⁶
2 abΩ 2 × 10⁻⁶ mΩ 2 × 10⁻⁶
5 abΩ 5 × 10⁻⁶ mΩ 5 × 10⁻⁶
10 abΩ 1 × 10⁻⁵ mΩ 1 × 10⁻⁵
20 abΩ 2 × 10⁻⁵ mΩ 2 × 10⁻⁵
25 abΩ 2.5 × 10⁻⁵ mΩ 2.5 × 10⁻⁵
50 abΩ 5 × 10⁻⁵ mΩ 5 × 10⁻⁵
100 abΩ 0.0001 mΩ 1 × 10⁻⁴
250 abΩ 0.00025 mΩ 2.5 × 10⁻⁴
500 abΩ 0.0005 mΩ 5 × 10⁻⁴
1000 abΩ 0.001 mΩ 1 × 10⁻³
Milliohm to Abohm: Reciprocal Summary
Milliohm to Abohm Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 mΩ 1000000 abΩ 1 × 10⁶
5 mΩ 5000000 abΩ 5 × 10⁶
10 mΩ 1 × 10⁷ abΩ 1 × 10⁷
50 mΩ 5 × 10⁷ abΩ 5 × 10⁷
100 mΩ 1 × 10⁸ abΩ 1 × 10⁸

Real-World Context & Everyday Benchmarks

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To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Abohm (abΩ) and Milliohm (mΩ):

Abohm References:

  • Electromagnetic CGS unit of electrical resistance equivalent to 10^-9 ohm (1 nΩ) 1 abΩ

Milliohm References:

  • Heavy-duty automotive battery starter ground cable low resistance (5 mΩ) 5 mΩ
  • Precision current-sensing shunt resistor in power electronics (1 mΩ) 1 mΩ
ISQ Dimension: [M L² T⁻³ I⁻²] Coherent SI Unit: ohm (Ω) Electromagnetism, Circuits & Field Theory

How to Convert Abohm to Milliohm

Converting Abohm (abΩ) to Milliohm (mΩ) is a core calculation in Electric Resistance, which quantifies the opposition that a substance or circuit element presents to the passage of an electric current. Both units reside within the International System of Units (SI) and share an identical physical dimension vector ([M L² T⁻³ I⁻²]), separated strictly by a decimal order-of-magnitude factor (10^-6). Because this shift involves integer powers of 10, the conversion is mathematically exact and free from decimal rounding or irrational fractional loss. Exactly 1 Abohm equals 1 × 10⁻⁶ Milliohm.

Direct Factor1 abΩ = 1 × 10⁻⁶ mΩ
Inverse Ratio1 mΩ = 1000000 abΩ
Conversion ScalePure SI Metric Prefix Shift (10ⁿ Decimal Scaling)
First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

Mathematical Conversion Derivation via Coherent SI Base Unit

Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (ohm (Ω)) without arbitrary rounding:

Vtarget=Vsource×(ksource→SIktarget→SI)V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)
Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)
1. Source SI Bridge (ksource):1 abΩ = 1 × 10⁻⁹ ohm (Ω)
2. Target SI Bridge (ktarget):1 mΩ = 0.001 ohm (Ω)
Step-by-step substitution for Abohm → Milliohm:V(mΩ) = V(abΩ) × ( 1 × 10⁻⁹ / 0.001 ) = V(abΩ) × 1 × 10⁻⁶
Mathematical FormulaValue in Milliohm = Value in Abohm × 1 × 10⁻⁶Direct computational formula applied for standard conversion.
Worked Example

To convert 120 Abohm (abΩ) to Milliohm (mΩ): multiply 120 by 1 × 10⁻⁶ to get 0.00012 mΩ. At an industrial engineering scale, 10000 abΩ converts to 0.01 mΩ.

Inverse check: 1 mΩ = 1000000 abΩ.

Understanding Abohm and Milliohm

Abohm

abΩ
CGS System

An Abohm (abΩ) is a unit of electric resistance in the centimeter-gram-second (CGS) system.

Applications & Practical Context

In practical electric resistance terms, a electromagnetic CGS unit of electrical resistance equivalent to 10^-9 ohm (1 nΩ) equals 1 abΩ.

Physical Setup

An electrical resistance of 1 abΩ corresponds to 1 × 10⁻⁹ Ω (presenting an opposition of 1 × 10⁻⁹ volts per ampere of current flow).

Conversion to SI Unit: ohm (Ω)
1 abΩ = 1 × 10⁻⁹ Ω

Milliohm

mΩ
SI Submultiple

A Milliohm (mΩ) is a decimal submultiple of the SI-derived unit for electric resistance.

Applications & Practical Context

In practical electric resistance terms, a heavy-duty automotive battery starter ground cable low resistance (5 mΩ) equals 5 mΩ, a precision current-sensing shunt resistor in power electronics (1 mΩ) equals 1 mΩ.

Physical Setup

An electrical resistance of 1 mΩ corresponds to 0.001 Ω (presenting an opposition of 0.001 volts per ampere of current flow).

Conversion to SI Unit: ohm (Ω)
1 mΩ = 0.001 Ω

Domain Metrology & Engineering Applications

Governing Law & Equation

Ohm's Law & Quantum Hall Von Klitzing Constant (R_K ≡ h/e² ≈ 25812.807 Ω)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using four-wire Kelvin micro-ohmmeters, digital multimeters, Megger insulation resistance testers, and precision Wheatstone bridges.

Primary Industry Sectors

Applied across printed circuit board manufacturing, electrical transformer winding qualification, earthing ground grid testing, and semiconductor interconnect testing under international metrology standard ISO 80000-6:2022, BIPM SI Brochure (9th Edition).

Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-6:2022, BIPM SI Brochure (9th Edition). Governed by Ohm's Law & Quantum Hall Von Klitzing Constant (R_K ≡ h/e² ≈ 25812.807 Ω) under ISO 80000 dimensional vector [M L² T⁻³ I⁻²].

Multi-Variable Engineering Bridge Ohmic Impedance & Voltage Drop

Ohmic Resistance to Voltage Drop Bridge (Volts • Millivolts • Kilovolts • Microvolts • Megavolts)

Calculate voltage drop V = I × R across resistive elements using Ohm’s law, bridging electrical resistance [M L² T⁻³ I⁻²] and potential difference [M L² T⁻³ I⁻¹] via excitation current (I).

V = I × R
Vector: [Ω] × [A] → [V]
Live Calculated Bridge Equivalent:
1 abΩ at Current Loop Transmitter (20 mA) = 2 × 10⁻¹¹ V
Equals 2 × 10⁻⁸ mV • 2 × 10⁻¹⁴ kV • 2 × 10⁻⁵ μV
SI Voltage
2 × 10⁻¹¹
V
Volts
Sensor / Logic
2 × 10⁻⁸
mV
Millivolts
Grid Transmission
2 × 10⁻¹⁴
kV
Kilovolts
Instrumentation
2 × 10⁻⁵
μV
Microvolts
Substation Ceiling
2 × 10⁻¹⁷
MV
Megavolts
CGS Electrostatic
6.671282 × 10⁻¹⁴
statV
Statvolts
  1. 1. Normalize Input to SI Base Unit (Ω):
    R = 1 abΩ × 1 × 10⁻⁹ = 1 × 10⁻⁹ Ω
  2. 2. Apply Engineering Parameter (I):
    Selected condition: Current Loop Transmitter (20 mA) at I = 0.02 A
  3. 3. Execute Governing Physical Law in SI Units:
    V = I × R = (1 × 10⁻⁹ Ω) × (0.02 A) = 2 × 10⁻¹¹ V
  4. 4. Convert to Standard Engineering Units:
    • V: 2 × 10⁻¹¹ × 1 = 2 × 10⁻¹¹ V (Volts) • mV: 2 × 10⁻¹¹ × 1000 = 2 × 10⁻⁸ mV (Millivolts) • kV: 2 × 10⁻¹¹ × 0.001 = 2 × 10⁻¹⁴ kV (Kilovolts) • μV: 2 × 10⁻¹¹ × 1000000 = 2 × 10⁻⁵ μV (Microvolts) • MV: 2 × 10⁻¹¹ × 1 × 10⁻⁶ = 2 × 10⁻¹⁷ MV (Megavolts) • statV: 2 × 10⁻¹¹ × 0.003336 = 6.671282 × 10⁻¹⁴ statV (Statvolts)
Explore Electric Current Converter →
Engineering Substance / Operating Standard Parameter Value (A) Reference State / Condition Typical Industrial & Engineering Application
Op-Amp Bias Current (10 μA) 1 × 10⁻⁵ 10 μA (1.0 × 10⁻⁵ A) Low-noise instrumentation amplifier input stage
Current Loop Transmitter (20 mA) 0.02 20 mA (0.02 A) Process sensor 4-20 mA analog telemetry
Logic Pull-Up Load (1 mA) 0.001 1 mA (0.001 A) Microcontroller I²C / GPIO line termination
High Power Resistor (5 A) 5 5.0 A continuous Dynamic braking / dummy load power testing
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Frequently Asked Questions

There are exactly 1 × 10⁻⁶ milliohms (mΩ) in 1 abohm (abΩ). To calculate larger amounts manually, simply multiply your total number of abohms by the conversion multiplier of 1 × 10⁻⁶.

The mathematical formula to convert abohms to milliohms is: [value] * 1 × 10⁻⁶ = milliohms. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from milliohms back to abohms, you must divide your starting value by 1 × 10⁻⁶. Our bidirectional tool automatically computes this inverse equation the moment you type into the milliohm input field.

1 Milliohm is larger than 1 Abohm. Specifically, 1 Abohm equals 1 × 10⁻⁶ milliohms, meaning 1 Milliohm is 1000000 times larger than 1 Abohm (a difference of 6.00 orders of magnitude). Expressing measurements in abohms requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Abohm converts to 1 × 10⁻⁶ milliohms. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

There is 1.00000 × 10⁻⁶ Milliohm in 1 Abohm. The KaTeX relation is given by 1 abΩ = 1.00000 × 10⁻⁶ mΩ.

To determine Milliohm from Abohm, apply the multiplier formula: V(mΩ) = V(abΩ) × 1.00000 × 10⁻⁶.

To compute Abohm from Milliohm, the inversion formula is V(abΩ) = V(mΩ) × 1.00000 × 10⁶.

The Abohm is equivalent to 10⁻⁹ Ohms (1 nanoohm) in the CGS electromagnetic system. Milliohms (10⁻³ Ohms) are standard in power engineering for testing busbar joint resistance, translating to 10⁶ abohms.

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