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The magnitude plot of the open loop transfer function G(s) of a certain system is shown in figure below.

!f the system is of minimum phase type, then the open-loop transfer function G(s) will be given by:
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The magnitude plot of the open loop transfer function G(s) of a certai...
Since, the system is of minimum phase type, it has no poles or zeros in the right hand side of s-plane.
=> There will be three corner frequencies at: ω1 = 5 rad/s
∴ T1 = 1/ω1 = 0.2 sec
(one pole added at ω1 = 5 rad/s)
ω2 = 40 rad/s
∴ T2 = 1/ω2 = 0.025 sec
(two pole added at ω
1
 = 40 rad/s)
and ω3 = 100 rad/s
∴ T3 = 1/ω3 = 0.01 sec
(two poles added at ω3 = 100 rad/s)
So, open loop T.F. is

Now, 20 log K = 100
∴ K = 105
Thus, 
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The magnitude plot of the open loop transfer function G(s) of a certain system is shown in figure below.!f the system is of minimum phase type, then the open-loop transfer function G(s) will be given by:a)b)c)d)Correct answer is option 'B'. Can you explain this answer?
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