First slide

Dimensions of physical quantities

Question

The physical quantity having the dimensions $[M^{- 1} L^{- 3} T^{3} A^{2}]$ is

Moderate

A

Resistance
B

Resistivity
C

Electrical conductivity
D

Electromotive force

Solution

$R = \frac{1}{σ A} σ = \frac{1}{R A}$
From $H = I^{2} R t$ , we have
$R = \frac{H}{I^{2} t} ∴ [σ] = [\frac{I^{2} t}{H A}] = [\frac{L A^{2} T}{M L^{2} T^{2} L^{2}}] = [M^{- 1} L^{- 3} T^{3} A^{2}]$

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