What is the dimensional formulae of capacitance -

Question

Toppr Admin · Accepted Answer

We know that-xA0-the capacitance of a capacitor is given by-C-QVthe dimension of Q is -AT-the dimension of voltage is -ML2T-x2212-3A-x2212-1-Dimensional formula of capacitance is-C-AT-ML2T-x2212-3A-x2212-1-xA0-M-x2212-1L-x2212-2T4I2-

What is the dimensional formulae of capacitance ?

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:
$C = \frac{[A T]}{[M L^{2} T^{- 3} A^{- 1}]}$

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

What is the dimensional formulae of capacitance ?

We know that, the capacitance of a capacitor is given by:C=QVthe dimension of Q is [AT]the dimension of voltage is [ML2T−3A−1]Dimensional formula of capacitance is:C=[AT][ML2T−3A−1] =[M−1L−2T4I2]

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:
$C = \frac{[A T]}{[M L^{2} T^{- 3} A^{- 1}]}$

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