define resistivity. write its dimensional formula
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The dimensional formula for resistivity is [ML^3T^(-3)A(-2). Where ; R is resistance, ρ is resistivity , l is the length of the conductor , A is the cross sectional area of the conductor.
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Resistivity is defined as the resistance offered by a wire of that material of unit length and unit cross-sectional area. Electric current is defined as the rate of flow of electric charge through a conductor
Resistance = \rhoρ l/A
so, resistivity (\rhoρ ) = RA/L
Resistance (R) = V/I
V = Work done /charge
So, Resistance = Work done/charge /Current
= [ML²T-²]/[TA]/[A]
= [ML²T-³A-²]
Resistivity = Resistance
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