# Control Systems [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 54 - 59 of 81

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## Question 54

Appeared in Year: *2016*

### Question

MCQ▾The number and direction of encirclement around the point in the complex plane by the Nyquist plot of is

### Choices

Choice (4) | Response | |
---|---|---|

a. | One, clockwise | |

b. | Zero | |

c. | Two, clockwise | |

d. | One, anti-clockwise |

## Question 55

Appeared in Year: *2016*

### Question

MCQ▾A first order low pass filter of time constant T is excited with different input signals (with zero initial conditions up to ) Match the excitation signals with the corresponding signals with the corresponding time response for :

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 56

Appeared in Year: *2015*

### Question

MCQ▾A network is described by the state model as

The transfer function is …

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 57

Appeared in Year: *2016*

### Question

Numeric Answer▾The open loop transfer function of a unity-feedback control system is given by

For the peak overshoot of the closed-loop system to a unit step input to be , the value of K is …

## Question 58

Appeared in Year: *2015*

### Question

Numeric Answer▾The open loop transfer function of a plant in a unity feedback configuration is given as . The value of the gain for which lies on root locus is …

## Question 59

Appeared in Year: *2017*

### Question

MCQ▾Which one of the following options correctly describes the locations of the roots of the equation on the complex plane?

### Choices

Choice (4) | Response | |
---|---|---|

a. | All four roots are on the imaginary axis | |

b. | Two RHP roots and two LHP roots | |

c. | Four left half plane (LHP) roots | |

d. | One right half plane (RHP) root, one LHP root and two roots on the imaginary axis. |