Conductance Conversion Tool Icon

Conductance Conversion

Quick conductance unit conversion, supporting free conversion between S, mS, μS, kS, MS, ℧, accurate and efficient, meeting the needs of various application scenarios.

Tool Description

Conductance Conversion is an online conductance unit converter supporting real-time bidirectional conversion among siemens (S), millisiemens (mS), microsiemens (μS), kilosiemens (kS), megasiemens (MS), and mho (℧), a total of 6 conductance units. Conductance measures a conductor's ability to conduct electric current, with the SI base unit being the siemens (symbol S). 1 siemens represents the conductance of a conductor carrying 1 ampere of current when the voltage across it is 1 volt, i.e., 1 S = 1 A/V. All calculations are based on standard conversion factors and performed locally in your browser — no data upload is required.

Usage Guide

  1. Enter value

    Enter the conductance value you want to convert (supports decimals and negative numbers)

  2. Select source unit

    Select the unit of the entered value from the dropdown menu (e.g., siemens S, millisiemens mS, etc.)

  3. View results

    Click the "Convert" button (or press the Enter key) to display all corresponding unit values at once. Click the copy icon next to any result to copy that individual value

Use Cases

  • Electronic Engineering & Circuit Analysis: Quickly convert conductance parameters between different units during circuit analysis for theoretical calculations and parameter comparison
  • Physics Teaching & Learning: Students and teachers can use this tool to intuitively understand the reciprocal relationship between conductance and resistance (G = 1/R) and the conversion patterns between different units
  • Instrument Calibration: Engineers calibrating conductivity meters or precision measurement equipment can use this tool for unit verification and value checking

Key Advantages

  1. Free & no registration

    The online conductance converter is completely free; just open the page to use it, with no account registration or software installation required

  2. Local & private

    All conversions are done locally in your browser; your input data is never uploaded to any server, fully protecting your privacy

  3. Instant results

    Conversions happen in real time as you type, with no waiting, and all unit results are shown at a glance

  4. Full unit coverage

    Supports mutual conversion among 6 conductance units: siemens (S), millisiemens (mS), microsiemens (μS), kilosiemens (kS), megasiemens (MS), and mho (℧)

  5. High precision

    Uses precise mathematical calculation; conductance units follow a strict decimal thousand-fold relationship, ensuring accurate and reliable results with decimal input supported

  6. Cross-platform

    Works smoothly on desktop, mobile, and tablet; the page is responsive and adapts to any screen, so you can convert conductance units anytime, anywhere

Conductance Unit Conversion Relationships

All conductance units use the siemens (S) as the base unit. The conversion relationships are shown in the table below. The siemens is a derived SI unit for conductance: 1 siemens equals 1 ampere per volt (1 S = 1 A/V), and is also the reciprocal of the resistance unit ohm (1 S = 1 Ω⁻¹). The mho (℧) is the historical name for conductance, and 1 ℧ is exactly equivalent to 1 S.

Unit Name Abbreviation Definition Siemens Value
SiemensS1 S = 1 A/V1
MillisiemensmS1 mS = 0.001 S0.001
MicrosiemensμS1 μS = 0.000001 S0.000001
KilosiemenskS1 kS = 1,000 S1,000
MegasiemensMS1 MS = 1,000,000 S1,000,000
Mho1 ℧ = 1 S1

Relationship Between Conductance and Resistance

Conductance (symbol G) measures a conductor''s ability to conduct electric current and is the reciprocal of resistance (symbol R): G = 1/R. The higher the conductance, the lower the resistance, and the better the conductivity.

In the SI system, the unit of conductance is the siemens (S), and the unit of resistance is the ohm (Ω). The relationship between them is: 1 S = 1 Ω⁻¹, meaning a conductor with a conductance of 1 siemens has a resistance of 1 ohm. The historical unit for conductance, mho, was formed by spelling ohm backward; 1 mho = 1 S.

In circuit analysis, the concept of conductance is particularly useful for parallel circuits — the total conductance of a parallel circuit equals the sum of individual branch conductances (Gtotal = G₁ + G₂ + ... + Gn), which is simpler than using resistance. Conductance also provides an alternative perspective on Ohm''s Law: I = GV.

History and Naming of the Siemens

Siemens (S) as the unit of conductance is named after German electrical engineer and inventor Werner von Siemens (1816-1892). Siemens was the founder of Siemens AG and made significant contributions to telegraph technology, power engineering, and electrical measurement. The International Electrotechnical Commission (IEC) officially adopted "siemens" as the international unit of conductance in 1935.

Before that, the unit of conductance was called "mho", formed by spelling the resistance unit "ohm" backward. Although the CGPM officially confirmed siemens as the SI unit of conductance in 1971, the old name "mho" can still be found in certain literature and among some engineers. In our converter, the conversion between mho (℧) and siemens (S) is 1 ℧ = 1 S.

FAQ

What is a siemens (S)?

The siemens (symbol S) is the SI standard unit of conductance, named after German engineer Werner von Siemens. 1 siemens is defined as the conductance of a conductor carrying 1 ampere of current when the voltage across it is 1 volt, i.e., 1 S = 1 A/V. The siemens is the reciprocal of the resistance unit ohm (Ω): 1 S = 1 Ω⁻¹. Higher conductance means better conductivity.

How do I convert between millisiemens (mS), microsiemens (μS), and kilosiemens (kS)?

Conductance units follow strict decimal thousand-fold relationships: 1 S = 1,000 mS = 1,000,000 μS; 1 kS = 1,000 S; 1 MS = 1,000,000 S. Specifically: 1 mS = 0.001 S = 1,000 μS; 1 μS = 0.001 mS = 0.000001 S; 1 kS = 1,000 S = 1,000,000 mS; 1 MS = 1,000 kS = 1,000,000 S. These thousand-fold relationships are fully consistent with metric unit prefixes (milli-, micro-, kilo-, mega-).

What is the difference between mho (℧) and siemens (S)?

Mho (℧) and siemens (S) are numerically equivalent: 1 ℧ = 1 S. The difference is historical: mho is the older name for conductance, formed by spelling "ohm" backward to reflect that conductance is the reciprocal of resistance. After the CGPM officially confirmed siemens as the SI unit of conductance in 1971, mho was gradually phased out. However, it still appears in some fields and literature. This tool supports both for convenience.

What is the relationship between conductance and resistance?

Conductance (G) and resistance (R) are reciprocals of each other: G = 1/R, R = 1/G. For example, a conductor with 10 Ω resistance has 0.1 S conductance; a conductor with 5 S conductance has 0.2 Ω resistance. In parallel circuit analysis, total conductance equals the sum of branch conductances (Gtotal = G₁ + G₂ + ...), which is simpler than the reciprocal formula for resistance. This is also an alternative form of Ohm''s Law: I = GV (current = conductance × voltage).

Will data be uploaded to the server?

No. All conversion calculations are performed entirely in your browser locally using pure JavaScript math. Your input data never leaves your device, so please feel free to use it.

How accurate are the conversion results?

This tool uses JavaScript double-precision floating-point numbers (64-bit IEEE 754) for calculations, which is sufficiently accurate for most everyday scenarios. Conductance units follow strict decimal thousand-fold relationships with no approximate conversions, so conversion results are precise within floating-point limits. Up to 6 significant decimal places are retained, with excess digits automatically truncated.

How do I use the conductance unit converter?

Complete conversion in three steps. First, enter the conductance value you want to convert (decimals and negatives supported) in the input field; then select the unit of the entered value from the dropdown (e.g., siemens S, millisiemens mS); next, click the "Convert" button or press Enter, and the page lists all unit values at once. Click the copy icon next to any result to copy that individual value.

Which units does the conductance converter support?

It supports 6 common conductance units. These are siemens (S), millisiemens (mS), microsiemens (μS), kilosiemens (kS), megasiemens (MS), and mho (℧). Any two of these units can be converted bidirectionally, meeting needs in electronics engineering, physics teaching, and instrument calibration.

Is the tool free, and does it require registration?

Completely free with no registration required. This is a free online conductance unit converter; just open the page to use it directly. No login, no usage limits, and no software installation needed, making it ideal for daily study and work.

Can it be used on mobile phones?

Yes. The page uses a responsive design and works smoothly on desktop, mobile, and tablet. After opening it in a mobile browser, the value entry and unit selection interactions are optimized for touch, so you can convert conductance units anytime, anywhere.

Why are conductance and resistance reciprocal, and how can I verify this with the tool?

Because conductance G and resistance R are reciprocals: G = 1/R. For example, a conductor of 10 Ω has a conductance of 0.1 S. You can first convert a conductance value to siemens (S) with this tool, then take its reciprocal to get the corresponding resistance (Ω). Using the two together quickly verifies the G=1/R relationship, which is especially handy when analyzing total conductance in parallel circuits.

Why are mho (℧) and siemens (S) numerically identical?

Because mho is the pre-deprecation name for siemens; they are the same quantity. Mho was formed by spelling ohm backward, reflecting that conductance is the reciprocal of resistance, and 1 ℧ = 1 S. After the CGPM officially confirmed siemens as the SI unit of conductance in 1971, mho was gradually phased out but still appears in some older literature and among engineers. This tool keeps both for easy cross-reference.

Content last updated:2026-07-17

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