For the transfer function H(s) = (10^8s^2)/(s^2 + 10100s +...

For the transfer function $H(s) = \frac{10^8s^2}{s^2 + 10100s + 10^6}$ (a) How many zeros are there in H(s)? What are the zero frequencies in rad/s? (b) How many poles are there in H(s)? What are the pole frequencies in rad/s? (c) What is the magnitude $|H(j\omega)|$ in dB as (i) $\omega \to 0$ rad/s and (ii) $\omega \to \infty$ rad/s? (d) What is the phase angle $\angle H(j\omega)$ in degrees as (i) $\omega \to 0$ rad/s and (ii) $\omega \to \infty$ rad/s? (e) Sketch the Bode plots of H(s). (f) What type of filter is this? What order?

Transcript

00:01 High, so we are given that the transfer function tf is equal to the 200 of s plus sub 20 divided by the s twice of s plus 1 into the s plus 40.

00:20 So we just have to draw the bode plot magnitude and phase angle plot for this transfer function.

00:28 As you can see on comparing k value will be goes to 100 and it's starting from 0 at s is equal to the minus of 20 here.

00:41 So basically the pulse is at 0, 0 point, okay let me show you the pulse is at 0, negative of 0 .5.

00:55 So in accordance to that add 20 log of k that will be equals to 20 log of k by 2.

01:08 So it will be 50 here.

01:12 So this will comes to near about 33 .98 and to above the plot.

01:20 So the bode plot, bode plot this will become, so let me draw you an arrows.

01:30 So let's suppose these are the vertical and horizontal axis.

01:35 Here i am considering 11, this is as 20, this as 40, over there we are taking the frequency of omega.

01:47 So the plot will be something like in this way that you will get is from the given of bode plot here.

01:58 So this is 20, not this one.

02:00 Now what are the readings right over here? minus negative 24 .08, here it will be negative of 30 .1.

02:09 How did we draw? by using the scepter, by using the given transfer function.

02:16 Now in the same way we can draw the phase plot.

02:19 For that we have to consider again the vertical axis and let's say the horizontal axis or let it be above something like right here.

02:29 Now i can take the measurements like 1, 20, here it is 40...

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