I'm having great trouble understanding the concept of a pole in a real world electric circuit. I do understand what a 'pole' is and what a 'zero' is, in the point of view of a 'Transfer Function' but when I'm study bode plots, the definition seems to differ.
WHAT I ALREADY KNOW: (Assuming a Voltage Transfer Function i.e Vout/Vin)
"A pole frequency is that frequency at which the transfer function of a system approaches infinity"
And similarly "A Zero frequency is that frequency at which the transfer function of a system approaches Zero"
1) Why does the magnitude Bode Plot of the response of a filter NOT approach Infinity at a pole? (and why is the -3dB point at the pole frequency?)
2) In the attached image, why is Wp (Omega subscript:P) called the pole frequency when the denominator clearly does not become zero at that frequency?
3) Dealing in the S domain if a transfer function turns out to be 1/(s+2)(s+3) how can the Negative pole frequencies i.e s=-2,s=-3 be produced physically?What are the poles in this circuit?
I feel I'm missing something very significant here. Please help!