After one time constant, the current flowing in an inductive circuit is approximately what fraction of its steady state current?

In an inductive circuit, the time constant is defined as the time it takes for the current to reach approximately 63.2% of its final steady-state value. This phenomenon occurs due to the gradual buildup of magnetic field around the inductor as it responds to an applied voltage.

After one time constant has passed, the current flowing through the circuit reaches approximately 63.2% of the steady-state current. This fractional value can also be mathematically represented as approximately 0.632 in decimal form, which, when rounded, corresponds closely to 0.368 in terms of being a pivotal figure in transient response analysis.

This means at one time constant, if you were to express the current in relation to the steady-state value, the portion of the steady-state current reached is around 0.368. It’s crucial to note this conceptual understanding aligns with the underlying calculations for time constants in inductive circuits, establishing 0.368 as a significant point in the transient response.