# drawing bode plot and the meaning of the amplitude and phase

I'm having trouble understanding how to infer from the transfer function amplitude how to draw the bode plot. i.e given the following transfer function:

Is the amplitude is the slope of the graph? when I'm looking at the analysis of the amplitude I can't relate what's written in the table to what I'm seeing

What are the physical meaning of the amplitude and the phase shift? I understood that the amplitude gives me the intensity of the signal, but that doesn't mean much to me either. can anyone please give me a practical example to how is this information used in planning and designing a system?

Thank you.

• You are asking for a book to be written. FYI. There is useful information in your table that you might take to heart, though. If $\omega$ is very much smaller than $\omega_{_0}$ then you are in one fixed situation. If $\omega$ is very much larger than $\omega_{_0}$ then you are in another fixed situation. In between, there is variation that is interesting. Just a note. 1st order filters are pretty easy. But 2nd order are worth the time to study. 3rd order and beyond are too complex for most folks, so they usually try and break them into combinations of 1st order and 2nd order. – jonk Dec 9 '19 at 6:46