First slide

Dimensions of physical quantities

Question

Find the dimensional formula of capacitance $C$ .

Easy

A

$[M^{- 1} L^{- 3} T^{4} A^{2}]$
B

$[M^{- 1} L^{- 2} T^{4} A^{2}]$
C

$[M^{- 1} L^{- 2} T^{3} A^{2}]$
D

$[M^{- 2} L^{- 2} T^{3} A^{2}]$

Solution

$q = C V$
$∴ C = \frac{q}{V} o r [C] = \frac{[q]}{[V]} = \frac{[AT]}{[{ML}^{2} T^{- 3} A^{- 1}]} = [M^{- 1} L^{- 2} T^{4} A^{2}]$

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