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SI Unit of Conductivity - Definition, Resistivity, Other Unit, Formula, and Examples

Kasturi Talukdar

Updated on 18th April, 2023 , 5 min read

SI Unit of Conductivity Overview

Conductivity is a fundamental property of materials that describes their ability to conduct electric current. It is an essential parameter used in various fields, including physics, materials science, chemistry, and engineering, to characterize and analyze the electrical properties of conductive materials. In this article, we will explore the SI unit of conductivity, its definition, calculation, and importance in electrical measurements.

Definition of Conductivity

Conductivity (σ) is a measure of how easily a material allows the flow of electric charge. It is defined as the reciprocal of resistivity (ρ), which is the inherent property of a material that opposes the flow of electric current. Mathematically, conductivity is given by the equation:

σ = 1/ρ

where σ is the conductivity and ρ is the resistivity.

SI Unit of Conductivity

The SI unit of conductivity is siemens per meter (S/m). It is named after the German physicist Ernst Werner von Siemens, who made significant contributions to the field of electrical engineering. The symbol "S" represents Siemens, and "m" represents meter, which is the unit of length in the International System of Units (SI).

Calculation of Conductivity

Conductivity can be calculated from resistivity using the formula:

σ = 1/ρ

where σ is the conductivity in S/m and ρ is the resistivity in ohm-meters (Ω·m). This relationship indicates that materials with higher resistivity have lower conductivity, and vice versa. Conductivity is a measure of how easily a material allows the flow of electric charge, and higher conductivity values indicate better conductive properties.

Importance of SI Unit of Conductivity in Electrical Measurements

The SI unit of conductivity is widely used in various electrical measurements and applications due to its importance in characterizing the electrical properties of materials. Some of the key reasons why the SI unit of conductivity is significant in electrical measurements are:

  1. Material characterization: Conductivity is a fundamental property used to characterize and analyze the electrical behavior of materials. It is often used in materials science and engineering to determine the conductive properties of different materials, such as metals, semiconductors, and electrolytes.
  2. Electrical conductivity of solutions: Conductivity is commonly used to measure the electrical conductivity of solutions, such as in electrolyte solutions and aqueous solutions. It is used in various fields, including chemistry, environmental science, and biological sciences, to determine the ionic strength, salinity, and other electrical properties of solutions.
  3. Electrical conductivity of conductive materials: Conductivity is an important parameter used in the electrical and electronics industry to measure the electrical conductivity of conductive materials, such as wires, cables, and electronic components. It is critical in designing and manufacturing electrical and electronic devices to ensure their proper functioning.
  4. Electrical safety: Conductivity is used in electrical safety measurements to assess the electrical properties of materials, such as insulators and conductors, to ensure safe operation and prevent electrical hazards. It is important in various industries, including construction, automotive, and aerospace, to ensure compliance with safety standards and regulations.
  5. Electrical conductivity of biological tissues: Conductivity is used in biomedical and health sciences to measure the electrical properties of biological tissues, such as skin, muscles, and organs. It is important in medical diagnostics, imaging techniques, and therapeutic applications, such as electrotherapy and bioelectrical impedance analysis.

SI Unit of Conductivity: Relativity of Different Materials

The table below shows the relativity of different materials:

 

Material

Resistivity 

Conductor

silver

Copper

Aluminium

Tungsten 

iron

Lead 

Mercury

1.59 x 10-8

1.68 x 10-8

2.65 x 10-8

5.6 x 10-8

9.71 x 10 -8

22 x 10-8

98 x 10-8

Alloys

Constantan (cu+Ni)

Manganin (Cu + Ni + Mn)

Nichrome (Ni + Cr + Mn + Fe)

49 x 10-8

48.2 x 10-8

100 x 10-8

Insulators

Glass

Hard Rubber

1 – 10000 x 109

1-100 x 1013

Related Articles:

SI Unit of Conductivity: Electrical Resistors

Resistors are used in circuits to control the flow of current. It is made up of several color codes. The different colors on the resistor represent the different resistance values. 

Formula

  • When materials have current density and a magnetic field,

ρ = E/J

Where,

ρ = the resistivity of the material

E = the intensity of the magnetic field

J = the intensity of the current density

  • Conductors with a regular cross-section and a regular flow of electric current. 

Resistivity (ρ) = R A/l

R = electrical resistance of the regular cross-section

A = area of the cross-section

L = the length of the piece

V = W/Q

Where,

V = potential difference between two points in an electric circuit

W= work done

Q= charge

P = VI

Where,

P= electric power or the rate at which energy is consumed in the electric circuit

V= potential difference

I= current 

  • Joule's law of heating: H= I2Rt
  • Ohm's law: V=IR

Where,

R = Resistance which is constant at a given temperature

  • The relationship between electrical resistivity and electrical conductivity is expressed as: σ = 1/ρ

Read More About:

SI Unit of Resistance and Ohm's Law

Resistance and Conductivity Relationship

  1. Resistance (R) and conductivity (σ or k) are inversely related to each other.
  2. When resistance is high, conductivity is low, and vice versa.
  3. Materials with higher resistance have lower conductivity, while materials with lower resistance have higher conductivity.
  4. Resistance is a measure of how much a material opposes the flow of electric current, while conductivity is a measure of how well a material conducts electricity.
  5. The relationship between resistance and conductivity is governed by Ohm's law, which states that current is directly proportional to voltage and inversely proportional to resistance.
  6. The relationship between resistance and conductivity is a fundamental property of materials and is widely used in various applications, such as in electrical and electronic circuits, materials science, and engineering.

SI Unit of Conductivity Things to Remember

  1. Conductivity is the measure of a material's ability to conduct electric current. It is denoted by the symbol "σ" and is measured in Siemens per meter (S/m) in the International System of Units (SI).
  2. Conductivity is directly proportional to the ease with which electric charges can move through a material. Higher conductivity values indicate better electrical conductivity, while lower values indicate poorer conductivity.
  3. Metals, such as copper and aluminum, typically have high conductivity values, making them excellent conductors of electricity. In contrast, non-metallic materials, such as rubber or wood, have much lower conductivity values, making them poor conductors.
  4. Conductivity is affected by various factors, including temperature, pressure, and impurities in the material. In general, higher temperatures tend to decrease conductivity, while increased pressure can either increase or decrease conductivity depending on the material.
  5. Conductivity is an important property in many applications, including electrical and electronic industries, power transmission, telecommunications, and materials science research. Materials with high conductivity are often used in electrical wires, circuitry, and other applications where efficient flow of electric current is essential.
  6. Conductivity is typically measured using specialized instruments called conductivity meters, which apply an electric field to a material and measure the resulting current flow. Conductivity values can also be calculated from other related properties, such as resistivity, using appropriate formulas and conversion factors.
  7. It's important to use the correct units when working with conductivity. In the SI system, conductivity is measured in S/m, but other units, such as mS/m (millisiemens per meter) or μS/cm (microsiemens per centimeter), are also commonly used. When converting between units, be sure to use appropriate conversion factors to avoid errors in calculations.
  8. Conductivity is a relative measure of a material's ability to conduct electricity and does not necessarily indicate the material's overall electrical performance. Other factors, such as voltage, current, and material thickness, also play a role in determining the actual electrical behavior of a material in a specific application.
  9. Conductivity is an important property to consider in various fields of science and engineering, and understanding the SI unit of conductivity and its implications is essential for accurate measurements and calculations in these areas.

Frequently Asked Questions

What is the SI unit of electrical conductivity?

The SI unit of electrical conductivity is Siemens per meter (S/m).

What does electrical conductivity represent?

Electrical conductivity is a measure of how well a material conducts electric current. It quantifies the ability of a material to allow the flow of electric charge through it.

How is electrical conductivity calculated?

Electrical conductivity is typically calculated by measuring the current passing through a material under a known electric field and using the formula σ = I/(A × L), where σ is the conductivity, I is the current, A is the cross-sectional area, and L is the length of the material.

Why is electrical conductivity important in physics and engineering?

Electrical conductivity is a crucial property in various fields, such as electronics, materials science, and electrical engineering. It is used to characterize and select materials for specific applications, design electrical circuits, and analyze the behavior of conductive materials in electric fields.

How is electrical conductivity different from resistivity?

Resistivity is the reciprocal of electrical conductivity and is a measure of how strongly a material opposes the flow of electric current. While electrical conductivity quantifies the ability of a material to conduct current, resistivity quantifies the resistance offered by a material to the flow of electric charge.

Can electrical conductivity be negative or zero?

Electrical conductivity is always a positive value, as it represents the ability of a material to conduct electric current. Negative or zero values of conductivity would not have physical significance in most cases.

What are the common units used for electrical conductivity in addition to the SI unit?

Electrical conductivity can also be expressed in other units, such as Siemens per centimeter (S/cm) or Siemens per inch (S/in), depending on the specific application or context.

How does temperature affect electrical conductivity?

Electrical conductivity of most materials generally decreases with increasing temperature, as higher temperatures can disrupt the structure of the material and reduce the mobility of charge carriers.

Can electrical conductivity change for a material?

Yes, electrical conductivity can change for a material based on various factors, such as temperature, impurities, and mechanical stress. For example, doping a semiconductor with certain impurities can significantly alter its electrical conductivity.

Can electrical conductivity be measured experimentally?

Yes, electrical conductivity can be measured experimentally using various methods, such as four-point probe technique, two-point probe technique, or Hall effect measurements. These methods involve applying an electric field, measuring current and voltage, and using appropriate equations to calculate electrical conductivity.

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