How to Convert Inductance from the Time Domain to the Frequency Domain

To convert inductance from the time domain to the frequency domain, we use the formula:

Inductance in Frequency Domain= jwl

where

w= the radians per seconds (rad/s) of the power source
l= the inductance of the inductor

Example

If a power source of 20cos4t V is powering an inductor of 1H, the inductance is

Inductance in frequency domain = jwl
=j(4)(1)
=j4