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Question

# The asymptotic Bode magnitude plot of minimum phase transfer function G(s) is shown below. Consider the following statements: Statement-1: Transfer function G(s) has three poles and one zero. Statement -2: At very high frequency (ω→∞), the phase angle ∠G(jω)=−3π2 Which of the following option is correct ?

A
Statement 2 is true and statement 1 is false.
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B
Both the statements are false.
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C
Both the statements are true.
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D
Statement 1 is true and statement 2 is false.
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Solution

## The correct option is A Statement 2 is true and statement 1 is false.G(s)=ks(1+s1)(1+s20) Transfer function shows 2 poles and no zeros. So statement 1 is wrong. ∠G(jω)=−90−tan−1ω−tan−1ω20 ∠G(jω)|ω→∞=−270∘=−3π2rad So statement 2 is correct.

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