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Test: Construction Root Loci - Electrical Engineering (EE) MCQ


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10 Questions MCQ Test - Test: Construction Root Loci

Test: Construction Root Loci for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Test: Construction Root Loci questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Construction Root Loci MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Construction Root Loci below.
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Test: Construction Root Loci - Question 1

With reference to root locus, the complex conjugate roots of the characteristic equation of the O.L.T.F. given below G(s)H(s) =K(s+3)/(s+1)2, lie on 

Detailed Solution for Test: Construction Root Loci - Question 1

Answer: c
Explanation: Complex conjugate roots of the characteristic equation of the O.L.T.F.lie on circle.

Test: Construction Root Loci - Question 2

Determine the centroid of the root locus for the system having G(s)H(s) = K/(s+1)(s2+4s+5) 

Detailed Solution for Test: Construction Root Loci - Question 2

Answer: Roots of the open loop transfer function are -1,-2+j, -2-j then centroid =Σreal part of open loop pole-Σreal part of open loop zeroes/P-Z
Centroid =(-1-2-2)-0/3 =-5/3 =-1.66.

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Test: Construction Root Loci - Question 3

The loop transfer function of an LTI system is G(s)H(s) =K(s+1)(s+5)/s(s+2)(s+3). For K>0, the point on the real axis that does not belong to the root locus of the system is

Detailed Solution for Test: Construction Root Loci - Question 3

Answer: c
Explanation: The points present on the root locus are right to the odd number of poles and zeroes.

Test: Construction Root Loci - Question 4

The angles of asymptotes of the root loci of the equation s3+5s2+(K+2)s+K=0 are: 

Detailed Solution for Test: Construction Root Loci - Question 4

Answer: c
Explanation: P-Z =2
Angle of asymptote = (2q+1)180°/P-Z
Angle are 90° and 270°.

Test: Construction Root Loci - Question 5

The intersection of asymptotes of root loci of a system with open loop transfer function G(s)H(s) = K/s(s+1)(s+3) is

Detailed Solution for Test: Construction Root Loci - Question 5

Answer: d
Explanation: The intersection of asymptotes of root loci of a system is same as the centroid which is centroid =Σreal part of open loop pole-Σreal part of open loop zeroes/P-Z.
Centroid = -4/3=-1.33.

Test: Construction Root Loci - Question 6

If a feedback control system has its open loop transfer function G(s)H(s) = K/(s-2)(s2+3s+5) has the root locus plot which intersects the imaginary axis at s =0, then the value of K at this point will be 

Detailed Solution for Test: Construction Root Loci - Question 6

Answer: b
Explanation: The intersection point on the imaginary axis at s =0 is obtained by Routh Hurwitz criteria making s^0 row zero and getting the value K = 10.

Test: Construction Root Loci - Question 7

The open loop transfer function of the feedback control system is given by G(s) =K(s+3)/s(s+4)2(s+5)(s+6). The number of asymptotes and the centroid of asymptotes of the root loci of closed loop system is 

Detailed Solution for Test: Construction Root Loci - Question 7

Answer: a
Explanation: Number of Poles = 5
Zeroes =1
Asymptotes =P-Z =4
Centroid =Σreal part of open loop pole-Σreal part of open loop zeroes/P-Z
Centroid = -4-4-5-6+3/4 =-4.

Test: Construction Root Loci - Question 8

The characteristic equation of a control system is given as 1+ K(s+4)/s(s+7)(s2+2s+2)=0. The real axis intercept for root locus asymptote is: 

Detailed Solution for Test: Construction Root Loci - Question 8

Answer: c
Explanation: Real axis intercept =centroid
Zero =-4 and Pole = -7, -1, -1, 0
Centroid =Σreal part of open loop pole-Σreal part of open loop zeroes/P-Z
Centroid = -7-1-1+4/3 = -1.67.

Test: Construction Root Loci - Question 9

The OLTF of a unity feedback system is K(s+2)(s+4)/(s+5)(s+6) the angle of arrival of the root loci as s =-2, and s =-4 respectively are: 

Detailed Solution for Test: Construction Root Loci - Question 9

Answer: b
Explanation: As it is type zero system therefore the angle of arrival can be either 180°, 0°.

Test: Construction Root Loci - Question 10

The characteristic equation is s3+14s2+(45+K)s+K =0, centroid is located at (-x,0) then the value of x is ____________ 

Detailed Solution for Test: Construction Root Loci - Question 10

Answer: b
Explanation: Differentiating the equation of K with respect to s and equating it to zero.Breakaway points are -2, -2+1.414j,-2-j1.414. so 2 is complex breakaway point.

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