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Electric Conductance Converter

Convert between different electric conductance units including Siemens, Megasiemens, Kilosiemens, Millisiemens, Microsiemens, Ampere/volt, Mho, Gemmho, Micromho, Abmho, Statmho, Quantized Hall conductance, and more.

Result

1 Siemens = 1000 Millisiemens

Complete Guide to Electric Conductance Conversion

Electric conductance conversion is essential across electrical engineering, circuit analysis, semiconductor physics, material science, and conductivity measurements. Whether you're calculating conductance in Siemens, analyzing high-conductance values in Megasiemens, measuring standard conductance in Kilosiemens, working with small conductance values in Millisiemens, analyzing very small conductance in Microsiemens, using voltage-to-current ratios in Ampere/volt, converting older mho units, working with CGS units in Abmho and Statmho, measuring quantum conductance in Quantized Hall conductance, or converting between different electric conductance units, our free online electric conductance converter makes it easy to convert between Siemens, Megasiemens, Kilosiemens, Millisiemens, Microsiemens, Ampere/volt, Mho, Gemmho, Micromho, Abmho, Statmho, Quantized Hall conductance, and other electric conductance units instantly. Understanding electric conductance units and conversions is crucial for accurate measurements in electrical engineering, circuit analysis, semiconductor physics, and material science.

Understanding Electric Conductance Measurement Units

Electric conductance (G) represents the ease with which electric current flows through a material. It is the reciprocal of resistance (G = 1/R). Different industries and applications use various electric conductance units, each suited to specific measurement scales and contexts. From tiny microsiemens measurements in water quality testing to massive megasiemens values in high-conductivity materials, understanding these units helps bridge different engineering disciplines and applications.

SI Units (Metric System)

Siemens (S) - The Base Unit

The Siemens is the SI base unit for electric conductance, representing the conductance when one Ampere of current flows for one Volt of potential difference. One Siemens equals one Ampere per Volt (1 S = 1 A/V). This unit is fundamental in electrical engineering and circuit analysis.

Siemens Multiples

  • Megasiemens (MS): 1,000,000 S - Very high conductance values
  • Kilosiemens (kS): 1,000 S - High conductance values

Siemens Submultiples

  • Millisiemens (mS): 0.001 S - Common in circuit analysis
  • Microsiemens (µS): 0.000001 S - Very small conductance values, water quality

Alternative SI Units

Ampere per Volt (A/V)

Ampere per Volt is an alternative SI unit for electric conductance, equivalent to Siemens (1 A/V = 1 S). This relationship comes from Ohm's law: I = V / R, so G = I / V, where G is conductance, I is current, and V is voltage. Therefore, 1 S = 1 A/V. This unit directly expresses the relationship between current and voltage.

Older Units (Mho System)

Mho

Mho is the older name for Siemens, where 1 mho = 1 S. The name "mho" is "ohm" spelled backwards, reflecting the reciprocal relationship between conductance and resistance. This unit is still occasionally used, especially in older literature.

Gemmho and Micromho

Gemmho and Micromho are older units for microsiemens. One Gemmho equals 1 Microsiemens (1 gemmho = 1 µS = 10⁻⁶ S), and one Micromho also equals 1 Microsiemens (1 micromho = 1 µS = 10⁻⁶ S). These units are used in water quality testing and older electrical measurements.

CGS Units (Centimeter-Gram-Second System)

Abmho

Abmho is a CGS electromagnetic unit where 1 abmho = 10⁹ siemens. This unit is used in the CGS electromagnetic unit system for very large conductance values in theoretical physics.

Statmho

Statmho is a CGS electrostatic unit where 1 statmho = 1.11265 × 10⁻¹² siemens. This unit is used in the CGS electrostatic unit system for very small conductance values in theoretical physics.

Quantum Unit

Quantized Hall Conductance

Quantized Hall Conductance is a fundamental quantum conductance unit equal to e²/h, where e is the elementary charge and h is Planck's constant. One Quantized Hall conductance equals approximately 3.874 × 10⁻⁵ siemens (1 QHC ≈ 3.874 × 10⁻⁵ S). This unit is used in quantum Hall effect measurements and serves as a fundamental constant in quantum physics.

How to Convert Siemens to Millisiemens

Converting Siemens to Millisiemens is one of the most common electric conductance conversions, especially in circuit analysis and electrical engineering applications. To convert from Siemens to Millisiemens, multiply the S value by 1,000. This conversion factor comes from the definition: 1 millisiemens = 0.001 siemens, so 1 siemens = 1,000 millisiemens. For example, 0.5 S × 1,000 = 500 mS. This conversion is essential for understanding conductance values in circuit analysis, where millisiemens are often more convenient than siemens for typical component values.

Electric Conductance vs Electric Resistance: Understanding the Difference

One of the most important concepts in electric conductance conversion is understanding the difference between electric conductance and electric resistance:

  • Electric Conductance (G): The ease of current flow, measured in Siemens. Higher conductance means more current flows for a given voltage. It's the reciprocal of resistance.
  • Electric Resistance (R): The opposition to current flow, measured in Ohms. Higher resistance means less current flows for a given voltage.

The relationship is: Conductance = 1 / Resistance, or G = 1/R. For example, a resistance of 100 Ω = 1/100 = 0.01 S conductance. Since 1 S = 1 A/V, converting between conductance and resistance is straightforward. Understanding this distinction is crucial for circuit analysis, electrical engineering, and understanding material properties.

Electric Conductance Conversion Formulas

Our electric conductance converter uses these precise formulas for accurate conversions:

Siemens to Millisiemens:

mS = S × 1,000

Millisiemens to Siemens:

S = mS ÷ 1,000

Siemens to Microsiemens:

µS = S × 1,000,000

Microsiemens to Siemens:

S = µS ÷ 1,000,000

Siemens to Kilosiemens:

kS = S ÷ 1,000

Kilosiemens to Siemens:

S = kS × 1,000

Siemens to Megasiemens:

MS = S ÷ 1,000,000

Megasiemens to Siemens:

S = MS × 1,000,000

Siemens to Ampere/Volt:

A/V = S (1 S = 1 A/V exactly)

Siemens to Mho:

mho = S (1 S = 1 mho exactly)

Microsiemens to Gemmho:

gemmho = µS (1 µS = 1 gemmho exactly)

Conductance from Resistance:

G = 1 / R (where G is conductance in Siemens, R is resistance in Ohms)

Electric Conductance Conversion Table

Quick reference for converting between common electric conductance units:

UnitSmSµS
1 S11,0001,000,000
1 mS0.00111,000
1 µS0.0000010.0011
1 kS1,0001,000,0001,000,000,000
1 MS1,000,0001,000,000,0001,000,000,000,000
1 A/V11,0001,000,000
1 mho11,0001,000,000
1 gemmho0.0000010.0011
1 micromho0.0000010.0011
0.1 S0.1100100,000
0.5 S0.5500500,000
1 S11,0001,000,000
2 S22,0002,000,000
5 S55,0005,000,000
10 S1010,00010,000,000
100 S100100,000100,000,000
1,000 S1,0001,000,0001,000,000,000
10,000 S10,00010,000,00010,000,000,000
100,000 S100,000100,000,000100,000,000,000
1,000,000 S1,000,0001,000,000,0001,000,000,000,000
0.001 S0.00111,000
0.01 S0.011010,000
0.05 S0.055050,000

Common Electric Conductance Conversion Examples

Standard Conductances (S to mS):

  • 0.001 S = 1 mS
  • 0.01 S = 10 mS
  • 0.1 S = 100 mS
  • 1 S = 1,000 mS
  • 10 S = 10,000 mS
  • 100 S = 100,000 mS
  • 1,000 S = 1,000,000 mS

Small Conductances (S to µS):

  • 0.000001 S = 1 µS
  • 0.00001 S = 10 µS
  • 0.0001 S = 100 µS
  • 0.001 S = 1,000 µS
  • 0.01 S = 10,000 µS
  • 0.1 S = 100,000 µS
  • 1 S = 1,000,000 µS

High Conductances (S to kS and MS):

  • 1,000 S = 1 kS
  • 10,000 S = 10 kS
  • 100,000 S = 100 kS
  • 1,000,000 S = 1 MS
  • 10,000,000 S = 10 MS
  • 100,000,000 S = 100 MS
  • 1,000,000,000 S = 1,000 MS

Resistance to Conductance Examples:

  • 1 Ω resistance = 1 S conductance
  • 10 Ω resistance = 0.1 S = 100 mS conductance
  • 100 Ω resistance = 0.01 S = 10 mS conductance
  • 1,000 Ω resistance = 0.001 S = 1 mS conductance
  • 10,000 Ω resistance = 0.0001 S = 100 µS conductance
  • 100,000 Ω resistance = 0.00001 S = 10 µS conductance
  • 1,000,000 Ω resistance = 0.000001 S = 1 µS conductance

Frequently Asked Questions (FAQ)

How do I convert Siemens to Millisiemens?

To convert Siemens to Millisiemens, multiply the S value by 1,000. The formula is: mS = S × 1,000. For example, 0.5 S = 0.5 × 1,000 = 500 mS. One Millisiemens equals exactly 0.001 Siemens by definition.

How many Siemens are in 1 Millisiemens?

One Millisiemens equals 0.001 Siemens. To convert mS to S, divide the mS value by 1,000. For example, 1,000 mS = 1,000 ÷ 1,000 = 1 S. This conversion is essential for understanding conductance values in circuit analysis and electrical engineering.

What is the difference between electric conductance and electric resistance?

Electric conductance (G) is the ease of current flow, measured in Siemens. Electric resistance (R) is the opposition to current flow, measured in Ohms. The relationship is: G = 1/R. For example, a resistance of 100 Ω = 1/100 = 0.01 S conductance. Higher conductance means more current flows for a given voltage.

How do I convert Siemens to Microsiemens?

To convert Siemens to Microsiemens, multiply the S value by 1,000,000. The formula is: µS = S × 1,000,000. For example, 0.000001 S = 0.000001 × 1,000,000 = 1 µS. One Microsiemens equals 10⁻⁶ Siemens by definition.

What is a Siemens in simple terms?

A Siemens is the SI unit of electric conductance, representing the ease with which electric current flows through a material. One Siemens equals one Ampere per Volt (1 S = 1 A/V). In practical terms, a conductance of 1 S allows 1 A of current to flow when 1 V is applied. It's the reciprocal of resistance.

How do I convert Millisiemens to Microsiemens?

To convert Millisiemens to Microsiemens, multiply the mS value by 1,000. The formula is: µS = mS × 1,000. For example, 1 mS = 1 × 1,000 = 1,000 µS. One Microsiemens equals 0.001 Millisiemens by definition.

What is the difference between Mho and Siemens?

Mho and Siemens are equivalent units for electric conductance (1 mho = 1 S). Mho is the older name, which is "ohm" spelled backwards, reflecting the reciprocal relationship between conductance and resistance. Siemens is the modern SI unit name, but both represent the same physical quantity.

What are Gemmho and Micromho used for?

Gemmho and Micromho are older units equivalent to Microsiemens (1 gemmho = 1 micromho = 1 µS = 10⁻⁶ S). These units are commonly used in water quality testing, where very small conductance values are measured. They're still used in some older instruments and literature.

Can I use this electric conductance converter for circuit analysis?

Yes! This electric conductance converter is perfect for circuit analysis. Circuits often use conductance measurements in Siemens, Millisiemens, or Microsiemens. Convert between units to analyze conductance values, calculate parallel resistances, and understand circuit behavior. For example, a resistance of 1,000 Ω = 0.001 S = 1 mS = 1,000 µS conductance.

How do I calculate conductance from resistance?

To calculate conductance from resistance, divide 1 by the resistance value: G = 1 / R, where G is conductance in Siemens and R is resistance in Ohms. For example, a resistance of 100 Ω = 1 / 100 = 0.01 S conductance. Conversely, resistance = 1 / conductance.

How do I convert between SI and CGS electric conductance units?

To convert between SI (Siemens-based) and CGS electric conductance units: 1 S = 10⁻⁹ abmho (EMU) and 1 S = 8.987 × 10¹¹ statmho (ESU). The conversion factors differ significantly between SI and CGS systems due to different base unit definitions. For EMU: divide S by 1,000,000,000. For ESU: multiply S by 8.987 × 10¹¹.

What is Quantized Hall Conductance?

Quantized Hall Conductance (QHC) is a fundamental quantum conductance unit equal to e²/h, where e is the elementary charge and h is Planck's constant. One Quantized Hall conductance equals approximately 3.874 × 10⁻⁵ siemens (1 QHC ≈ 3.874 × 10⁻⁵ S). This unit is used in quantum Hall effect measurements and serves as a fundamental constant in quantum physics.

What units are supported in this electric conductance converter?

Our electric conductance converter supports 12 units including: Siemens (S), Megasiemens (MS), Kilosiemens (kS), Millisiemens (mS), Microsiemens (µS), Ampere/volt (A/V), Mho, Gemmho, Micromho, Abmho, Statmho, and Quantized Hall conductance. All conversions use precise conversion factors based on international standards.

How accurate is this electric conductance converter?

Our electric conductance converter uses precise conversion factors based on international standards. Results are calculated with high precision and automatically formatted for optimal readability. All conversions follow official SI unit definitions and internationally recognized electric conductance unit relationships.

Real-World Applications

Circuit Analysis and Design

Electric conductance conversion is fundamental in circuit analysis and design for analyzing parallel resistances, calculating equivalent conductance, and understanding circuit behavior. Converting between Siemens, Millisiemens, and Microsiemens helps engineers design efficient circuits and analyze conductance networks.

Water Quality Testing

Water quality testing requires very small conductance measurements in Microsiemens (µS) or older units like Gemmho and Micromho. Converting between these units helps scientists measure water purity, total dissolved solids, and ionic content in water samples.

Semiconductor Physics

Semiconductor physics requires conductance measurements for analyzing material properties, calculating carrier mobility, and understanding device performance. Converting between different units helps researchers work with various measurement systems and compare material properties.

Quantum Physics Research

Quantum physics research uses Quantized Hall Conductance for fundamental measurements in quantum Hall effect experiments. This unit serves as a fundamental constant in quantum physics and is used in precision measurements and standards.

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Tips for Electric Conductance Conversion

  • Quick Approximation: For S to mS, multiply by 1,000 (exact conversion)
  • Remember Key Values: 1 S = 1,000 mS = 1,000,000 µS, 1 S = 1 A/V = 1 mho
  • Conductance Formula: G = 1 / R - conductance equals reciprocal of resistance
  • Older Units: 1 gemmho = 1 micromho = 1 µS
  • High Conductance: Multiply S by 0.001 to get kS, or by 0.000001 to get MS
  • Small Conductance: Multiply S by 1,000,000 to get µS
  • CGS Units: 1 abmho = 10⁹ S, 1 statmho = 1.11265 × 10⁻¹² S