# if settling time is smaller for underdamped case then why we call it underdamped - parallel rlc circuits?

Does less settling time means that the response dies out quickly? If so the settling time for a just correct Resistance such that the circuit is slightly underdamped is least, then it's most damped(considering the definition of damped losing energy gradually, what it intuitively means). Then shouldn't it be called overdamped instead? Or maybe I'm confused with the relation between damping and settling time?

• Under/overdamped and settling time are not correlated to each other since you could have an underdamped system that rises/falls very quickly and CROSSES the steady state value very quickly, but then overshoots/undershoots and rings for nearly forever before settling at the steady state value. Or you can also have system so overdamped that it doesn't ring at all, but it takes nearly forever to reach it's steady state value. Mar 7, 2019 at 19:54