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physics

What is the dimensional formulae of capacitance ?

Answer

We know that,
the capacitance of a capacitor is given by:
$C = \frac{Q}{V}$

the dimension of Q is $[A T]$
the dimension of voltage is $[M L^{2} T^{- 3} A^{- 1}]$

Dimensional formula of capacitance is:
$C = \frac{[ A T ]}{[ M L ^{2} T ^{- 3} A ^{- 1} ]}$

$= [M^{- 1} L^{- 2} T^{4} I^{2}]$

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