Also, in the last question with two tanks, in the strict sense we should say circuit has "maximally" 4 poles and maximally 4 zeroes. E.g. with matched tanks, i.e. L1=L2, C1=C2, and all R are same, the transfer function is exactly 1/2 without any pole or zero (due to exact pole-zero cancellation). Any mismatch in tanks can help in seeing both peaking and notches in the transfer function (due to mismatched resonances)
Wow, that was a awesome video, thanks for that. You got a new subscriber, thanks! Have a good qualitative feeling about zero and poles in circuits helps a lot!
Interesting video. RC-CR is a good LPF-HPF transform. A more generic transform is RLC-CRD transform (where D is FDNR) preserving the transfer function.
Query on zero, kindly help: @10:15 what's the meaning of impedance (r1 || c3) to be infinity? We are taught that if two resistors are in parallel, the equivalent resistance is always lesser than least of them, so what is being missed here(it's true only for passive elements). I was guessing that the intuitive meaning of this impedance being infinite is that at 1/(r1*c3) frequency, when vin is applied, no current is drawn by (r1 || c3) from vin. But in such case where will vin drop across to satisfy kvl and kcl?
When we talk about poles and zeros we are in complex plane. In complex plane impedance can go infinity at complex frequencies. You will not see that happening in real world or in transient simulation because there we are working with jw axis of the complex plane.
Eric, If we try to solve any circuit using differential equations we will see that the final soln will demand a number of independent initial conditions (like 'v' across a cap or 'i' through an inductor) which is also equal to the order of the differential eqn. Order of the eqn. is equivalent to # of poles in the 's' domain
Hi Sir, nice lecture. I have one question, so like zero where output goes to zero what can we infer in case of poles? Is it the frequency bat which output hits max value that is it gets saturated? Please give some analogy and shed some lights on it. Also, as can be seen that for pole frequency instead of getting saturated the output voltage starts to drop at pole frequency. please help. #AnalogSnipets
Hi there, interesting lessions.I want zero out a butterworth low pass filter? how we do that, I see that the zero and poles now in a more easy way thanks. I need a lowpass with more poles and zeros, and will use a opamp for it.
If you can assign an initial voltage to a capacitor or an initial current to an inductor in a circuit then they are independent energy storage elements. In most cases it is the case hence rule of thumb is number of poles is equal to total number of capacitor plus inductor. In some cases however it is not possible to assign initial conditions to all capacitor/inductor. One such example is capacitor only loop where KVL dictates that at least one capacitor cannot be assigned any arbitrary voltage.
Also, in the last question with two tanks, in the strict sense we should say circuit has "maximally" 4 poles and maximally 4 zeroes. E.g. with matched tanks, i.e. L1=L2, C1=C2, and all R are same, the transfer function is exactly 1/2 without any pole or zero (due to exact pole-zero cancellation). Any mismatch in tanks can help in seeing both peaking and notches in the transfer function (due to mismatched resonances)
Yes that is a good observation...
A very good video for brushing the basics.. Always crispy and precise in delivering content... kudos👏👏👏
Sir, kindly explain the concept of zeros using phase shift also. I have found that useful at times. This video is indeed very clear and useful.
Very good and simpler explanations. Thank you
Extremely helpful. Thanks for sharing.
Fantastic tutorial!
Upo vizuri sana. nimekuelewa
Wow, that was a awesome video, thanks for that. You got a new subscriber, thanks!
Have a good qualitative feeling about zero and poles in circuits helps a lot!
Beautifully explained
Great video... kindly come up with more videos on practical analog design..
simply great and really helpful
Interesting video. RC-CR is a good LPF-HPF transform. A more generic transform is RLC-CRD transform (where D is FDNR) preserving the transfer function.
Waiting for similar videos which explains about poles location ideas, poles and zeros in active circuits..Thank you
Very useful explanation
Waiting for continuation video as you mentioned... thank you
Amazing explanation
well explained. thanks sir
Extremely helpfull
Thanks sir very helpful 🙏🏻
useful video
Query on zero, kindly help:
@10:15 what's the meaning of impedance (r1 || c3) to be infinity? We are taught that if two resistors are in parallel, the equivalent resistance is always lesser than least of them, so what is being missed here(it's true only for passive elements). I was guessing that the intuitive meaning of this impedance being infinite is that at 1/(r1*c3) frequency, when vin is applied, no current is drawn by (r1 || c3) from vin. But in such case where will vin drop across to satisfy kvl and kcl?
I have the exact same question, it would be nice to have a valid answer
When we talk about poles and zeros we are in complex plane. In complex plane impedance can go infinity at complex frequencies. You will not see that happening in real world or in transient simulation because there we are working with jw axis of the complex plane.
Nice
Great video! Is there any theory or analysis why # of poles is equal to the number of independent elements?
Eric,
If we try to solve any circuit using differential equations we will see that the final soln will demand a number of independent initial conditions (like 'v' across a cap or 'i' through an inductor) which is also equal to the order of the differential eqn.
Order of the eqn. is equivalent to # of poles in the 's' domain
Hi Sir, nice lecture. I have one question, so like zero where output goes to zero what can we infer in case of poles? Is it the frequency bat which output hits max value that is it gets saturated? Please give some analogy and shed some lights on it. Also, as can be seen that for pole frequency instead of getting saturated the output voltage starts to drop at pole frequency. please help. #AnalogSnipets
👍
Hi there, interesting lessions.I want zero out a butterworth low pass filter? how we do that, I see that the zero and poles now in a more easy way thanks. I need a lowpass with more poles and zeros, and will use a opamp for it.
I don't get the independent energy storage elements. Can you please explain it please.
If you can assign an initial voltage to a capacitor or an initial current to an inductor in a circuit then they are independent energy storage elements. In most cases it is the case hence rule of thumb is number of poles is equal to total number of capacitor plus inductor. In some cases however it is not possible to assign initial conditions to all capacitor/inductor. One such example is capacitor only loop where KVL dictates that at least one capacitor cannot be assigned any arbitrary voltage.
@@analogsnippets Thank you very much 😁
How to explain type-2 compensator using OP-type, which with a pole at origin