The dimensional formula for inductance is

Options

A. `[ML^2 T^(-2) A^(-2)]`
B. `[ML^2 TA^(-2)]`
C. `[ML^2T^(-1)A^(-2)]`
D. `[ML^2T^(-2)A^(-2)]`

Answer

A

Explanation

EMF induced in an electrical circuit
`e = L (dI)/(dt) `(numerically)
or `L = e (dt)/(dI)`
` W/Q . (dt)/(dI) " " (because e = V = W/Q)`
`= (Wdt)/(It dI) = ([ML^2 T^(-2)][T])/([A][T][A])`
`[ML^2 T^(-2) A^(-2)]`