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Quiz: Time Domain Analysis-LCS

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Number of Questions: 20

Question: 6 -

A system with transfer function 1/Ts+1, subjected to a step input takes to seconds to reach 50% of step height. The value of t is :

Options:

  1. 20s

  2. 6.9s

  3. 14.4s

  4. 10s

    5. Answer:

    14.4s
    Solution:

    A(t)=a[1-e-t/T] ½= 1-e-10/t
    T= 14.43 sec.

Question: 7 -

The unit step response of an underdamped second order system has steady state value of -2 .Which one of the following transfer functions has these properties?

Options:

  1. -3.82/s2-1.91s+1.91

  2. -2.24/s2+2.59s+1.12

  3. -3.82/s2+1.91s+1.91

  4. -2.24/s2-2.59s+1.12

    5. Answer:

    -3.82/s2+1.91s+1.91
    Solution:

    Steady state Value = -2.

    Denominator:

    2ξωn = 1.91,

    ωn = 1.4

    ξ = 1.91/2ωn< 1…under damped

     

Question: 8 -

A ramp input applied to an unity feedback system results in 5% steady state error. The type number and zero frequency gain of the system are respectively

Options:

  1. 1 and 1/20

  2. 0 and 1/20

  3. 0 and 20

  4. 1 and 20

    5. Answer:

    1 and 20
    Solution:

    ess  = lims->0 sE(s), R(s) = 1/s2

    = lims->0 s (R(s)/1+G(s))

Question: 9 -

 A unit step is applied at t=0 to a first order system without time delay. The response has the value of 1.264 units at t=10 mins, and 2 units at steady state. The transfer function of the system is_____________

Options:

  1. 2/(1+500s)

  2. 3/(1+600s)

  3. 5/(1+220s)

  4. 2/(1+600s)

    5. Answer:

    2/(1+600s)
    Solution:

    a(t)= k[1-e-t/T] K=2
    0.632= 1-e-10/T
    T=600 sec
    G(s)=2/(1+600s).

Question: 10 -

First order system is defined as :

Options:

  1. Total number of poles and order of equation

  2. Total number of poles of equation

  3. Order of the differential equation

  4. Number of poles at origin

    5. Answer:

    Total number of poles and order of equation
    Solution not available.