define resistivity of a conductor. what is its s.i unit?
Answers
The resistivity of a material is the resistance of a wire of that material of unit length and unit cross-sectional area. ... The resistivity of a metallic conductor increases with an increase in its temperature, whereas the resistivity of a semi-conductor decreases with an increase in its temperature.
The SI unit of electrical resistivity is the ohm⋅metre (Ω⋅m). It is commonly represented by the Greek letter ρ, rho.
Resistivity is the resistance offered by a metallic conductor of unit length (1 m) and unit area (1 m²).
Its S.I. unit is Ω.m
Derivation :
Resistance = (resistivity) [length/area]
Resistivity = Resistance [area/length]
On placing their units:-
resistivity = Ω[m²/m]
resistivity = Ω.m
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