Resistivity
Resistivity is a property of materials that describes their ability to resist the flow of electric current. It is defined as the resistance of a unit length of a material with a unit cross-sectional area. Resistivity is usually denoted by the Greek letter rho (ρ) and has units of ohm-meters (Ω·m).
Resistivity is an intrinsic property of a material and depends on factors such as its chemical composition, temperature, and crystal structure. Materials with high resistivity are poor conductors of electricity, while materials with low resistivity are good conductors.
The resistivity of a material can be calculated using the following formula:
ρ = RA/L
where ρ is the resistivity, R is the resistance of a sample of the material, A is the cross-sectional area of the sample, and L is the length of the sample.
The resistivity of a material can also be measured experimentally using techniques such as four-point probe measurements, which involve passing a known current through a sample of the material and measuring the voltage drop across it.
Resistivity is an important property of materials used in electrical engineering, as it determines their suitability for use in various applications. For example, materials with low resistivity, such as copper and aluminum, are used for wiring and electrical transmission lines, while materials with high resistivity, such as nichrome, are used for heating elements in appliances.
Classification of Materials according to Electrical Resistivity
Materials can be classified into different categories based on their electrical resistivity. Here are some common categories:
- Conductors: Materials with low electrical resistivity, such as metals and some types of solutions, are known as conductors. They are able to carry an electric current with minimal resistance and are commonly used in electrical and electronic applications.
- Insulators: Materials with high electrical resistivity, such as plastics, rubber, and glass, are known as insulators. They are not able to carry an electric current easily and are commonly used to isolate and protect electrical components.
- Semiconductors: Materials that have intermediate levels of electrical resistivity, such as silicon and germanium, are known as semiconductors. They can be used to control and manipulate the flow of electric charge and are used extensively in electronics and computer applications.
- Superconductors: Materials that have zero electrical resistance at very low temperatures are known as superconductors. They are able to carry electric current without any loss of energy and are used in specialized applications such as MRI machines and particle accelerators.
Generally, most metals have high conductivity (which is another way of saying metals tend to be conductors) because the electrons in their outermost shell can move easily. Non-metals tend to have low conductivity.
Resistivity of various materials
Here are 10 examples of materials with their electrical resistivities:
- Copper – Electrical resistivity: 1.68 × 10-8 Ω·m
- Aluminum – Electrical resistivity: 2.65 × 10-8 Ω·m
- Silver – Electrical resistivity: 1.59 × 10-8 Ω·m
- Gold – Electrical resistivity: 2.44 × 10-8 Ω·m
- Brass – Electrical resistivity: 6.9 × 10-8 Ω·m
Insulators:
- Glass – Electrical resistivity: 1010-1014 Ω·m
- Rubber – Electrical resistivity: 1013-1015 Ω·m
- Air – Electrical resistivity: 1016-1019 Ω·m
Semiconductors:
Note: The resistivity values given are approximate and can vary depending on the specific material and conditions. Conductors have low resistivity, insulators have high resistivity, and semiconductors.