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.
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.