Define the unit of self-inductance. On which factors does self-inductance depend?

(N/A) The unit of self-inductance is the Henry $(H)$.
The self-induced emf is given by $\varepsilon = -L \frac{dI}{dt}$.
If $\frac{dI}{dt} = 1 \text{ A s}^{-1}$ and the induced emf $\varepsilon = 1 \text{ V}$,then the self-inductance $L$ is defined as $1 \text{ Henry}$.
The value of $L$ depends on:
$(1)$ The size and shape of the coil.
$(2)$ The number of turns $N$.
$(3)$ The magnetic permeability of the core material within the coil (e.g.,using a soft iron core significantly increases $L$).