2. Consider the following system. K(s+3) (s+4) (s+1)(s+2) Check whether the points below are in the root locus. If the point is in the root locus, then also find what the corresponding gain K. i) ii) -2+j3 -2+1√ √ Hint: First find L(s). Next, in L(s) replace s with the value of the point and then express it in polar format r20 using calculator. The point will be in the root locus if and only if = 180° or odd multiple of 180°. When the point is in the root locus, the corresponding gain K is obtained as K ==

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2. Consider the following system.
K(s+3) (s+4)
(s+1)(s+2)
Check whether the points below are in the root locus. If the point is in the root locus, then
also find what the corresponding gain K.
i)
ii)
-2+j3
-2+1√ √
Hint: First find L(s). Next, in L(s) replace s with the value of the point and then express
it in polar format r20 using calculator. The point will be in the root locus if and only if
= 180° or odd multiple of 180°. When the point is in the root locus, the
corresponding gain K is obtained as K ==
Transcribed Image Text:2. Consider the following system. K(s+3) (s+4) (s+1)(s+2) Check whether the points below are in the root locus. If the point is in the root locus, then also find what the corresponding gain K. i) ii) -2+j3 -2+1√ √ Hint: First find L(s). Next, in L(s) replace s with the value of the point and then express it in polar format r20 using calculator. The point will be in the root locus if and only if = 180° or odd multiple of 180°. When the point is in the root locus, the corresponding gain K is obtained as K ==
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