Question

Dimensional formula of self inductance is

• A. $[MLT^{-2}A^{-2}]$
• B. $[ML^2T^{-1}A^{-2}]$
• C. $[ML^2T^{-2}A^{-2}]$
• D. $[ML^2T^{-2}A^{-1}]$

Answer 1

Answer: (C)

Induced emf $|\varepsilon |=L\frac{dI}{dt}$
where $L$ is the self inductance and $\frac{dI}{dt}$ is the rate of change of current.
$\therefore $ Dimensional formula of $L=\frac{|\varepsilon |}{\frac{dI}{dt}}$
$ =\frac{[ML^2T^{-3}A^{-1}]}{[AT^{-1}]}$
$=[ML^2A^{-2}T^{-2}]$