I Outright understanding L/R inductor time constant

[abdulbadii]

TL;DR Summary

Scientifically understanding L/R inductor time constant r reciprocates it

How is the real understanding, when an external constant E potential (voltage) is imposed/applied on a LR circuit, that is being charged as the characteristic L/R inductor time constant: the greater R the shorter time inductor get (full) charged

This absolutely independent to the E; it could simply be so great while time constant (charge time) still being shorter time than that of far less E, as proven or inspected by the (DE) equation

 

[DaveE]

Summary: Scientifically understanding L/R inductor time constant r reciprocates it

as proven or inspected by the (DE) equation

yes.

 

[Dale]

A larger voltage means that the current increases faster, but it also means that the final current is larger. The two effects balance out so the time required is independent of the voltage.