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A unity feedback control system has a forward path transfer function of Its phase value will be zero at a frequency of ω1.
Which one of the following equation should be satisfied for it?
  • a)
    ω1 = cot (Tω1)    
  • b)
    ω1 = tan (Tω1)
  • c)
    = cos(ω1)
  • d)
    1 = tan (ω1)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A unity feedback control system has a forward path transfer function o...
Given,


or, ∠G(jω) H(jω) = -ωT - 90° - tan-1 ω
At ω = ω1, ∠G(jω) H(jω) = 0°
∴ -ω1 T-90° -tan-1ω1 = 0
or, tan-1ω= - (ω1T + 90°)
or, ω1, = -tan (90° + ω1T) = cot ω1T
∴ ω1 = cot(ω1T)
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A unity feedback control system has a forward path transfer function ofIts phase value will be zero at a frequency of ω1.Which one of the following equation should be satisfied for it?a)ω1= cot (Tω1) b)ω1 = tan (Tω1)c)Tω1= cos(ω1)d)Tω1 = tan (ω1)Correct answer is option 'A'. Can you explain this answer?
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A unity feedback control system has a forward path transfer function ofIts phase value will be zero at a frequency of ω1.Which one of the following equation should be satisfied for it?a)ω1= cot (Tω1) b)ω1 = tan (Tω1)c)Tω1= cos(ω1)d)Tω1 = tan (ω1)Correct answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A unity feedback control system has a forward path transfer function ofIts phase value will be zero at a frequency of ω1.Which one of the following equation should be satisfied for it?a)ω1= cot (Tω1) b)ω1 = tan (Tω1)c)Tω1= cos(ω1)d)Tω1 = tan (ω1)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A unity feedback control system has a forward path transfer function ofIts phase value will be zero at a frequency of ω1.Which one of the following equation should be satisfied for it?a)ω1= cot (Tω1) b)ω1 = tan (Tω1)c)Tω1= cos(ω1)d)Tω1 = tan (ω1)Correct answer is option 'A'. Can you explain this answer?.
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