Electrical resistivity is a fundamental property of a material that quantifies how strongly that material opposes the flow of electric current. A low resistivity indicates a material that readily allows the flow of electric current.
The SI unit of electrical resistivity isthe ohm-metre (Ω⋅m)
At a definite temperature,if the resistance of a particular conductor having lengthl and cross-section areaAbeR,then
; where A remains constant and
; when I remains constant.
Hence,;when bothl andAvary.
R=;where
is a constant of proportionality.
Its value depends on the nature of material of the conductor and its temperature. This constant is calledspecificresistance or resistivity of theconductor.
From the relation ,it is seen that ofl =1 and A=1 then R=.
Hence, the resistance of a conductor having unit length and unit cross-sectional area is called specific resistance to resistivity.
CGS unit of resistivity isstatohmcmand its SI unit isohm-meter.
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Electrical resistivity is a fundamental property of a material that quantifies how strongly that material opposes the flow of electric current. A low resistivity indicates a material that readily allows the flow of electric current.
The SI unit of electrical resistivity isthe ohm-metre (Ω⋅m)
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At a definite temperature,if the resistance of a particular conductor having length l and cross-section area A be R ,then
Hence,
;when both l and A vary.
R=
;where
Its value depends on the nature of material of the conductor and its temperature. This constant is called specific resistance or resistivity of the conductor.
From the relation ,it is seen that of l =1 and A = 1 then R=
.
Hence, the resistance of a conductor having unit length and unit cross-sectional area is called specific resistance to resistivity.
CGS unit of resistivity is statohm cm and its SI unit is ohm-meter.