- Summary
- Finding the settling time of an oscillatory response

I was reading my book on circuit analysis on chapter about RLC response and became curious about how to get an approximate value for the settling time of the response. Particularly this response

My first approach was to use the upper envelope of the response
and equate to 1 percent of its maximum value and find the approximate settling time which turns out to be Ts = 2.30s.

Now my question is if there's other method that I can use to better approximate the settling time. My book speaks about a trial-and-error solution but did not show how it's done. Please tell me how to go about it. TIA!

My first approach was to use the upper envelope of the response

Now my question is if there's other method that I can use to better approximate the settling time. My book speaks about a trial-and-error solution but did not show how it's done. Please tell me how to go about it. TIA!