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Quiz: Time Domain Analysis-LCS

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Number of Questions: 20

Question: 1 -

Considers a system with the transfer function( )= (s+6)/(Ks2+s+6), its damping ratio will be 0.5 when the
value of K is

Options:

  1. 2

  2. 1/3

  3. 6

  4. 1/6

    5. Answer:

    1/6
    Solution:

    Comparing with s2  + 2ξω +ω2 

Question: 2 -

The transfer function of system is

G(s) = 100/(s+1)(s+100)

For a unitstep input to the system the approximate settling time for 2% criterion is

Options:

  1. 4 sec

  2. 1 sec

  3. 100 sec

  4. 0.01 sec

    5. Answer:

    4 sec
    Solution not available.

Question: 3 -

In the derivation of expression for peak percent overshoot,

Mp = exp{−πζ/√1-ζ2}*100

Which one of the following conditions is NOT required?

 

Options:

  1. The system transfer function has a pair of complex conjugate poles and no zeros

  2. The system has zero initial conditions

  3. There is no transportation delay in the system

  4. System is linear and time invariant

    5. Answer:

    There is no transportation delay in the system
    Solution not available.

Question: 4 -

If the characteristic equation of a closed –loop system is s2 + 2s + 2 = 0, then the system is

Options:

  1. underdamped

  2. undamped

  3. critically damped

  4. overdamped

    5. Answer:

    underdamped
    Solution:

    Use:
    s2 + 2ξωn + ωn2 = 0

Question: 5 -

A causal system having the transfer function H(s) = 1/(s+2) is excited with 10u (t) . The time at which the
output reaches 99% of its steady state value is

 

Options:

  1. 2.5 sec

  2. 2.7sec

  3. 2.3 sec

  4. 2.1 sec

    5. Answer:

    2.3 sec
    Solution:

    r (t) = 10u (t) 

    R(s) = 10/s

    C(s) = H(s)*R(s)