Question

The dimensions of self or mutual inductance are given as ______.

Options

• [L^-2 M¹ T^-2 l^-2]

• [L² M² T ^-2 l^-2]

• [L² M¹ T ^-2 l ^-2]

• [L² M² T ^-2 l²]

Answer 1

The dimensions of self or mutual inductance are given as [L² M¹ T ^-2 l ^-2].

Explanation:

The self or mutual inductance of a coil is the flux change due to change in current, i.e.

L or M = `phi/"l"`

So, dimensions of Mutual Inductance or
Self-Inductance can be given by

`=> ["L"] = ([phi])/(["l"])`

`= (["ML"^2 "T"^-2 "l"^-1])/(["M"^0 "L"^0 "l"^1])`

`= ["ML"^2 "T"^-2 "l"^-2]`