Conductivity to Resistivity Calculator:
Enter the value of conductivity, C(S/m) to determine the value of Resistivity, R(Ω.m).
Conductivity to Resistivity Formula:
Conductivity and resistivity are fundamental electrical properties of materials that describe their ability to conduct or resist electric current. Conductivity (C) measures how easily electric charge flows through a material, while resistivity (R) quantifies how strongly a material opposes this flow. They are inversely related, meaning a material with high conductivity has low resistivity and vice versa.
Conductivity is commonly expressed in siemens per meter (S/m), while resistivity is measured in ohm-meters (Ω.m). The relationship between conductivity and resistivity is essential in electrical engineering, materials science, and physics for designing circuits, selecting materials, and analyzing electrical behaviour.
Metals like copper and silver have high conductivity, making them excellent conductors, while materials like rubber and glass have high resistivity, acting as effective insulators. Temperature, impurities, and material composition significantly influence these properties.
The mathematical relationship between resistivity and conductivity is straightforward: resistivity is the reciprocal of conductivity. This allows easy conversion between the two properties when one is known.
Resistivity, R(Ω.m) in ohm-metres equals one divided by conductivity, C(S/m) in siemens per metre.
Resistivity, R(Ω.m) = 1 / C(S/m)
R(Ω.m) = resistivity in Ohm-metres, Ω.m.
C(S/m) = conductivity in siemens per metre, S/m.
Conductivity to Resistivity Calculation:
- A material has a conductivity of 5 S/m. Calculate its resistivity.
Given: C(S/m) = 5 S/m.
Resistivity, R(Ω.m) = 1 / C(S/m)
R(Ω.m) = 1 / 5
R(Ω.m) = 0.2Ω.m.
- A material has a resistivity of 0.01 Ω.m. Calculate its conductivity.
Given: R(Ω.m) = 0.01Ω.m.
Resistivity, R(Ω.m) = 1 / C(S/m)
C(S/m) = 1 / R(Ω.m)
C(S/m) = 1 / 0.01
C(S/m) = 100S/m.