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Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Tests  >  Test: Time Response Of First Order Systems - Electrical Engineering (EE) MCQ

Test: Time Response Of First Order Systems - Electrical Engineering (EE) MCQ


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10 Questions MCQ Test - Test: Time Response Of First Order Systems

Test: Time Response Of First Order Systems for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Test: Time Response Of First Order Systems questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Time Response Of First Order Systems MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Time Response Of First Order Systems below.
Solutions of Test: Time Response Of First Order Systems questions in English are available as part of our course for Electrical Engineering (EE) & Test: Time Response Of First Order Systems solutions in Hindi for Electrical Engineering (EE) course. Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free. Attempt Test: Time Response Of First Order Systems | 10 questions in 10 minutes | Mock test for Electrical Engineering (EE) preparation | Free important questions MCQ to study for Electrical Engineering (EE) Exam | Download free PDF with solutions
Test: Time Response Of First Order Systems - Question 1
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First order system is defined as :

Detailed Solution for Test: Time Response Of First Order Systems - Question 1

Answer: d
Explanation: First order system is defined by total number of poles and also which is same as the order of differential equation.

Test: Time Response Of First Order Systems - Question 2
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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_____________

Detailed Solution for Test: Time Response Of First Order Systems - Question 2

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

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Test: Time Response Of First Order Systems - Question 3
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The transfer function of the system is G(s) =100/(s+1) (s+100). For a unit step input to the system the approximate settling time for 2% criterion is:

Detailed Solution for Test: Time Response Of First Order Systems - Question 3

Answer: b
Explanation: G(s) =100/(s+1) (s+100)
Taking the dominant pole consideration,
S=-100 pole is not taken.
G(s)= 100/s+1
Now it is first order system, ts=4T=4 sec.

Test: Time Response Of First Order Systems - Question 4
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If a first order system and its time response to a unit step are as shown below, the gain K is :
Detailed Solution for Test: Time Response Of First Order Systems - Question 4

Answer: d
Explanation: Y(s)/R(s)=K/1+sT+K
By, use of partial fraction, K/T/s+(K+1/T)
Taking inverse Laplace transform on both the sides
Y(t)=K/K+1[1-e^(K+1/T)t] K=4

Test: Time Response Of First Order Systems - Question 5
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 The unit impulse response of a system having transfer function K/(s+a) is shown below. The value of a is :
Detailed Solution for Test: Time Response Of First Order Systems - Question 5

Answer: d
Explanation: G(s) = K/s+a
C(s) =K/(s+a) Since R(s) =1
C(t) =Ke^-at
T=1/a
C(t) =0.37K
T= t2=1/a.

Test: Time Response Of First Order Systems - Question 6
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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 :
Detailed Solution for Test: Time Response Of First Order Systems - Question 6

Answer: c
Explanation: The response of a first order system is:
A(t)=a[1-e^-t/T] ½= 1-e^-10/t
T= 14.43 sec.

Test: Time Response Of First Order Systems - Question 7
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A second-order real system has the following properties:

The damping ratio ξ=0.5ξ=0.5 and undamped natural frequency ωn=10rad/sωn=10rad/s, the steady state value at zero is 1.02.

The transfer function of the system is
Detailed Solution for Test: Time Response Of First Order Systems - Question 7

Test: Time Response Of First Order Systems - Question 8
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Assertion (A): It is observed that step function is first derivative of a ramp function and impulse function is first derivative of a step function.
Reason (R): From the derived time response expression it is concluded that the output time response also follows the same sequence as that of input functions.
Detailed Solution for Test: Time Response Of First Order Systems - Question 8

Answer: b
Explanation: If response due to one standard signal is known then response due to other signals can also be derived.

Test: Time Response Of First Order Systems - Question 9
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Laplace transform of unit impulse signal is :
Detailed Solution for Test: Time Response Of First Order Systems - Question 9

Answer: c
Explanation: Laplace response of impulse signal is one which implies Laplace response is systems response.

Test: Time Response Of First Order Systems - Question 10
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 Time response during steady state the output velocity matches with the input velocity but lags behind the input by T.
Detailed Solution for Test: Time Response Of First Order Systems - Question 10

Answer: a
Explanation: In first order systems the time response during steady state the output velocity matches.

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