00:01
So here we are given the value of zeta that is selling time which is represented by t of s that is given which is equal to 2 second where we are given the value of selling time and zeta is given which is equals to 0 .5.
00:14
Now from the definition we can say that t of s is equal to 4 divided by the omega n that will be equals to 2 seconds.
00:23
So from here, we can say that the value of omega n will be equals to 4 divided by the 0 .5 multiplied by the 2, that will equal to 4 radian per second.
00:37
Now from here, this is the value of omega -n.
00:40
Now, when we are describing about the closed loop, so z -res to the power 2 plus 2 of omega -n z -res -to -the -power 2, that will be equals to 0.
00:53
So from here, this value will become equal to z -res to the power 2 plus 2 multiply by the 0 .5, multiply by the 4 of z plus 4 raised to the power 2, that will be equals to 0.
01:05
So from here, we can say that this value will comes out to be, this value from here will comes out to be z -res to the power 2 plus 4 of z plus 16, that will be equals to 0.
01:19
Now from here, since the closed loop discrete pole is on the z pole, so we can say that the value of j will be 2 plus minus of j 2 under root 3...