I have seen the answer with Matlab but the only thing I'm struggling with is the root at -0.5+/-0.5i. Would anyone be able to tell me how to account for this?

Edit: What I find confusing about the root is that it's complex. I saw in a video online that when it's complex the magnitude has a spike but Matlab doesn't show this spike.

 

I saw in a video online that when it's complex the magnitude has a spike

Not necessarily true, depends on Re losses compared to energy storage in L & C.

Regards, Dana.

 

Not necessarily true, depends on Re losses compared to energy storage in L & C.

Regards, Dana.

Thanks,
Would you be able to tell me how you know where along to x axis the complex pole needs to be? Is it its magnitude?

 

A bode plot is a magnitude plot, axis freq and magnitude, whereas a pole zero plot has
a Real axis and an Imaginary axis. So on a bode plot you are plotting the magnitude
of Z or V or I for the transfer function. You can plot the effect of a single pole or zero
on Bode, its magnitude at specific frequencies.

The pole plot has a Re and Im part, real and imaginary axis, that you plot, as follows -

Regards, Dana.

 

Try arranging the quadratic factor in the form:
\({s^2+2\zeta\omega_ns+\omega_n^2}\)

 

Take a look at this as well -

https://global.oup.com/us/companion...sites/9780199339136/Appendices/Appendix_F.pdf


Regards, Dana.

 

Thanks for your answers. I know that at the frequency of a pole or zero the slope of the magnitude Bode plot changes. But in this case I am not sure where to put the change because it's a complex pole. Do I put it at the magnitude of the pole for example?