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Question

Match the LIST-I with LIST-II
 

LIST-I
Transfer function
LIST-II
Step response
A. $\frac{25}{S^2+25}$I.
B. $\frac{36}{S^2+70S+36}$II.
C. $\frac{36}{S^2+12S+36}$III.
D. $\frac{36}{S^2+7S+49}$IV.


Choose the correct answer from the options given below:

The correct answer is
A-IV, B-III, C-I, D-II

The step response of a system is determined by its transfer function. We need to match the transfer functions to their corresponding step responses. Here's how we can approach this:

  1. \(A. \frac{25}{S^2+25}\)
  2. \(B. \frac{36}{S^2+70S+36}\)
  3. \(C. \frac{36}{S^2+12S+36}\)
  4. \(D. \frac{36}{S^2+7S+49}\)

Based on these explanations, the correct matching is as follows:

  • A-IV
  • B-III
  • C-I
  • D-II

The correct answer is: A-IV, B-III, C-I, D-II

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Important Questions from Time Response Analysis

  1. The step, ramp and parabolic test input signals can respectively be expressed as

  2.  Assertion (A) : In control systems, steady state response in the final requirement for calculating the efficiency of the system.

    Reason (R) : The transient response is also critical for the determination of the steady state response.

  3. If the characteristic equation of a closed loop system is S2 + 2S + 2 = 0, then the system is

  4. The open loop transfer function of a unity feedback control system is given by \(G(s)=\frac{25}{s(s+5)}\). The natural frequency of oscillator is fixed.

    Arrange the damped frequency of oscillation for the following damping ratio in ascending order

    A. \(\xi = 0.5\)

    B. \(\xi = 0.1\)

    C. \(\xi = 0.3\)

    D. \(\xi = 0.25\)

    E. \(\xi = 0.4\)

    Choose the correct answer from the options given below :

  5. The addition of a pole to the forward path transfer function of a closed loop system, generally has the effect of

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