An open loop transfer function G(s) of a system is

**A. ** -0.42

**B. ** -1.58

**C. ** -0.42 and -1.58

**D. ** None of the above

**Answer : ****Option A**

**Explaination / Solution: **

1+ G= (

For a unity feedback system, the breakaway point of the root loci on the real axis occurs at,

1+ G= (

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The state space representation of a separately excited DC servo motor dynamics
is given as

**A. **

**B. **

**C. **

**D. **

**Answer : ****Option D**

**Explaination / Solution: **

where ω is the speed of the motor, i_{a} is the armature current and u is the
armature voltage. The transfer function ω(s)/U(s) of the motor is

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The pole-zero diagram of a causal and stable discrete-time system is shown in the figure. The zero at the origin has multiplicity 4. The impulse response of the system is h[n]. If h[0] = 1, we can conclude

From the pole-zero plot, we obtain the transfer function as

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The gain at the breakaway point of the root locus of a unity feedback system with open loop
transfer function is

**A. ** 1

**B. ** 2

**C. ** 5

**D. ** 9

**Answer : ****Option A**

**Explaination / Solution: **

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The Nyquist plot of a stable transfer function G(s) is shown in the figure are interested in the stability of the closed loop system in the feedback configuration shown.

Which of the following statements is true ?

The plot has one encirclement of origin in clockwise direction. Thus G(s) has a zero is in RHP.

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A speed signal, band limited to 4 kHz and peak voltage varying between +5 V and -5 V, is sampled at the Nyquist rate. Each sample is quantized and represented by 8 bits.
Assuming the signal to be uniformly distributed between its peak to peak value, the signal to noise ratio at the quantizer output is

**A. ** 16 dB

**B. ** 32 dB

**C. ** 48 dB

**D. ** 4 kHz

**Answer : ****Option C**

**Explaination / Solution: **

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Assuming zero initial condition, the response y(t) of the system given below to a unit step input u(t) is

No Explaination.

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The residues of a complex function at its poles are

**A. ** 1/2, -1/2 and 1

**B. ** 1/2, -1/2 and -1

**C. ** 1/2, -1 and 3/2

**D. ** 1/2, -1 and 3/2

**Answer : ****Option C**

**Explaination / Solution: **

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Assign output of each integrator by a state variable

**A. **

**B. **

**C. **

**D. **

**Answer : ****Option C**

**Explaination / Solution: **

By masson’s gain formula

The transfer function of the system is

By masson’s gain formula

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A closed-loop control system is stable if the Nyquist plot of the corresponding open-loop transfer function

**A. ** encircles the s-plane point (−1 + j0) in the counterclockwise direction as many times as the number of right-half s-plane poles.

**B. ** encircles the s-plane point (0 − j1) in the clockwise direction as many times as the number of right-half s-plane poles.

**C. ** encircles the s-plane point (−1 + j0) in the counterclockwise direction as many times as the number of left-half s-plane poles.

**D. ** encircles the s-plane point (−1 + j0) in the counterclockwise direction as many times as the number of right-half s-plane zeros.

**Answer : ****Option A**

**Explaination / Solution: **

No Explaination.

No Explaination.

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**Preparation Study Material**- Circuit Analysis (Study/Preparation)
- Digital Electronics (Study/Preparation)
- Signals and Systems (Study/Preparation)
- Communication Theory (Study/Preparation)
- Basic Electrical and Instrumentation Engineering (Study/Preparation)
- Electrical Engineering and Instrumentation (Study/Preparation)
- Electronic Devices (Study/Preparation)
- Linear Integrated Circuits LIC (Study/Preparation)
- Electronic Circuits I (Study/Preparation)
- Electronic Circuits II (Study/Preparation)
- Control System Engineering (Study/Preparation)
- Digital Communication (Study/Preparation)
- Digital Signal Processing (Study/Preparation)
- Microprocessors and Microcontrollers (Study/Preparation)
- Electromagnetic Theory (Study/Preparation)