Ask HN: Understanding L/R inductor time constant

Anyone a Physics expert esp. in electromagnetic matter and/or (nano) particle material science ?

How is the real understanding, when an external constant E potential (voltage) is imposed or applied on LR circuit

The characteristic L/R inductor time constant: the greater R the shorter time inductor get (full) charged

this absolutely independent to the E, it may be simply so great while time constant still being so short, inspect the (DE) equation