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Quiz: LCS-Basics

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Number of Questions: 20

Question: 6 -

 If the characteristic equation of the closed loop system is s^2 + 2s + 2 = 0, then the system is

Options:

  1. Undamped

  2. Over damped

  3. Critically damped

  4. Underdamped

    5. Answer:

    Underdamped
    Solution:

    Kindly Compare the given charateristic equation with the standard form of second order differential equation.

Question: 7 -

Which of the following statements are correct?

A. Bode plot is in the frequency domain.

B. Root locus is in the time domain.

C. Nyquist criteria are in the frequency domain.

D. Routh Hurwitz's criteria are in the time domain.

Options:

  1. A and C

  2. A, C, and D

  3. A and B

  4. B and C

    5. Answer:

    A and C
    Solution:

    The Bode plot is defined as the frequency response plot of the sinusoidal transfer function of a system. The two graphs of the Bode plot are the plot of magnitude and phase angle. Thus, it is in the frequency domain.

    The Nyquist plot is considered as the extension of the polar plot. The variation of frequency from infinity to -infinity results in the plot, known as the Nyquist plot. Hence, the Nyquist criterion is in the frequency domain.

    Hence, the correct answer is an option (2).

Question: 8 -

The corner frequency in the Bode plot is:

Options:

  1. The frequency at which bode plot slope is -10 dB /decade.

  2. The frequency at which the two asymptotes intersect.

  3. The frequency at which bode plot slope is 0 dB /decade.

  4. The frequency at which the two asymptotes meet.

    5. Answer:

    The frequency at which the two asymptotes meet.
    Solution:

    The frequency at which the two asymptotes in the Bode plot meet is termed as corner frequency.

Question: 9 -

The centroid in the root locus is a point where

Options:

  1. The branches of the root locus terminate on the real axis.

  2. The branches of the root locus intersect with the imaginary axis.

  3. The branches of the root locus tend to infinity.

  4. The asymptotes cross the real axis.

    5. Answer:

    The asymptotes cross the real axis.
    Solution:

    Centroid is defined as a common point where all the asymptotes intersect on the real axis. The value of centroid is always real. But, it can be located either on the positive or negative real axis.

Question: 10 -

The impulse response of an RL circuit is:

Options:

  1. Rising exponential function

  2. Parabolic function

  3. Step function

  4. Decaying exponential function

    5. Answer:

    Decaying exponential function
    Solution not available.