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This section includes 86 Mcqs, each offering curated multiple-choice questions to sharpen your Electrical Engineering knowledge and support exam preparation. Choose a topic below to get started.
1. |
Zero-order hold used in practical reconstruction of continuous-time signals is mathematically represented as a weighted-sum of rectangular pulsesshifted by: |
A. | any multiples of the sampling interval |
B. | integer multiples of the sampling interval |
C. | one sampling interval |
D. | 1 second intervals |
Answer» C. one sampling interval | |
2. |
In cascade form of realization, how many bits should be used to represent the FIR filter coefficients in order to avoid the quantization effect onfilter coefficients? |
A. | 5 to 10 |
B. | 12 to 14 |
C. | 20 to 24 |
D. | 28 to 40 |
Answer» C. 20 to 24 | |
3. |
A system is said to be_____________ if it is possible to transfer the system state from any initial state to any desired state in finite interval oftime. |
A. | controllable |
B. | observable |
C. | cannot be determined |
D. | controllable and observable |
Answer» B. observable | |
4. |
The Eigen values of a 3×3 matrix are λ1, λ2, λ3 then the Eigen values of a matrix A3 are __________ |
A. | λ1, λ2, λ3 |
B. | 1/λ1,1/λ2,1/λ3 |
C. | λ31,λ32,λ33 |
D. | 1, 1, 1 |
Answer» D. 1, 1, 1 | |
5. |
Let us consider a 3×3 matrix A with Eigen values of λ1, λ2, λ3 and the Eigen values of A-1 are? |
A. | λ1, λ2, λ3 |
B. | 1/λ1,1/λ2,1/λ3 |
C. | -λ1, -λ2, -λ3 |
D. | λ1, 0, 0 |
Answer» C. -λ1, -λ2, -λ3 | |
6. |
Kalman’s test is for : |
A. | observability |
B. | controllability |
C. | optimality |
D. | observability and controllability |
Answer» E. | |
7. |
The transfer function for the state representation of the continuous time LTI system: dq(t)/dt=Aq(t)+Bx(t)Y(t)=Cq(t)+Dx(t) is given by |
A. | c(si-a)-1b+d |
B. | b(si-a)-1b+d |
C. | c(si-a)-1b+a |
D. | d(si-a)-1b+c |
Answer» B. b(si-a)-1b+d | |
8. |
Jury’s test determines whether the roots of a polynomial lie: |
A. | close to unit circle |
B. | within the unit circle |
C. | outside the unit circle |
D. | on the unit circle |
Answer» C. outside the unit circle | |
9. |
If the z transform of x(n) is X(z) =z(8z-7)/4z2-7z+3, then the final value theorem is : |
A. | 1 |
B. | 2 |
C. | ∞ |
Answer» B. 2 | |
10. |
Consider the function F (s)= 5/s(s2+3s+2), the initial value of f(t) is: |
A. | 5 |
B. | 5/2 |
C. | 5/3 |
Answer» E. | |
11. |
In control system an error detector |
A. | detects error and signal out an alarm |
B. | detects error of the system |
C. | produces an error signal as actual difference of value and desired value of output |
D. | any of the above |
Answer» C. produces an error signal as actual difference of value and desired value of output | |
12. |
The necessary and sufficient condition for the system to be completely state controllable is that therank of the composite matrix QC is |
A. | 1 |
B. | n |
C. | 2 |
D. | 3 |
Answer» C. 2 | |
13. |
Gilbert's test is used to check |
A. | controllabilty |
B. | observability |
C. | observer |
D. | controlability & observability |
Answer» E. | |
14. |
An oberser or program that that estimates less than n state variables, where n is dimension of stage vector is called |
A. | reduced order state observer |
B. | simply a reduced order observer |
C. | full observer |
D. | state observer |
Answer» B. simply a reduced order observer | |
15. |
A transfer function of the system does not have pole-zero cancellation? Which of the following statements is true? |
A. | system is neither controllable nor observable |
B. | system is completely controllable and observable |
C. | system is observable but uncontrollable |
D. | system is controllable and unobservable |
Answer» C. system is observable but uncontrollable | |
16. |
The impulse response of a linear LTI system is given as g (t) = e(-t)The transfer function of the system is equal to: |
A. | 1/s |
B. | 1/s(s+1) |
C. | 1/(s+1) |
D. | s/(s+1) |
Answer» D. s/(s+1) | |
17. |
Consider a system if represented by state space equation and x1 (t) =x2 (t), then the system is: |
A. | controllable |
B. | uncontrollable |
C. | observable |
D. | unstable |
Answer» C. observable | |
18. |
A system is said to be_________________ if every state can be completely identified by measurements of the outputs at the finite time interval. |
A. | controllable |
B. | observable |
C. | cannot be determined |
D. | controllable and observable |
Answer» C. cannot be determined | |
19. |
A system is said to be_____________ if it is possible to transfer the system state from any initial state to any desired state in finite interval of time. |
A. | controllable |
B. | observable |
C. | cannot be determined |
D. | controllable and observable |
Answer» B. observable | |
20. |
The diagonalizing matrix is also known as: |
A. | eigen matrix |
B. | modal matrix |
C. | constant matrix |
D. | state matrix |
Answer» C. constant matrix | |
21. |
Kalman’s test is for : |
A. | observability |
B. | controllability |
C. | optimality |
D. | observability and controllability |
Answer» E. | |
22. |
State model is generally not suitable for measuring: |
A. | investigation of system properties |
B. | evaluation of time response |
C. | real variables |
D. | both a and b |
Answer» E. | |
23. |
______________ are the techniques for converting general state models into canonical one. |
A. | observable |
B. | controllable |
C. | diagoanlization |
D. | cannonical |
Answer» D. cannonical | |
24. |
Which among the following is a unique model of a system? |
A. | transfer function |
B. | state variable |
C. | block diagram |
D. | signal flow graphs |
Answer» B. state variable | |
25. |
Which mechanism in control engineering implies an ability to measure the state by taking measurements at output? |
A. | controllability |
B. | observability |
C. | differentiability |
D. | adaptability |
Answer» C. differentiability | |
26. |
According to the property of state transition method, e0 is equal to _____ |
A. | i |
B. | a |
C. | e-at |
D. | -eat |
Answer» D. -eat | |
27. |
State space analysis is applicable even if the initial conditions are _____ |
A. | zero |
B. | non-zero |
C. | equal |
D. | not equal |
Answer» C. equal | |
28. |
The Eigen values of a 3×3 matrix are λ1, λ2, λ3 then the Eigen values of a matrix A3 are __________ |
A. | λ1, λ2, λ3 |
B. | 1/λ1,1/λ2,1/λ3 |
C. | λ31,λ32,λ33 |
D. | 1, 1, 1 |
Answer» D. 1, 1, 1 | |
29. |
Let us consider a 3×3 matrix A with Eigen values of λ1, λ2, λ3 and the Eigen values of A-1 are? |
A. | λ1, λ2, λ3 |
B. | 1/λ1,1/λ2,1/λ3 |
C. | -λ1, -λ2, -λ3 |
D. | λ1, 0, 0 |
Answer» C. -λ1, -λ2, -λ3 | |
30. |
What is Eigen value? |
A. | a vector obtained from the coordinates |
B. | a matrix determined from the algebraic equations |
C. | a scalar associated with a given linear transformation |
D. | it is the inverse of the transform |
Answer» D. it is the inverse of the transform | |
31. |
Which among the following constitute the state model of a system in addition to state equations? |
A. | . input equations |
B. | . output equations |
C. | state trajectory |
D. | state vector |
Answer» C. state trajectory | |
32. |
Which among the following plays a crucial role in determining the state of dynamic system? |
A. | . state variables |
B. | state vector |
C. | state space |
D. | state scalar |
Answer» B. state vector | |
33. |
Which among the following controls the speed of D.C. motor? |
A. | galvanometer |
B. | gauss meter |
C. | potentiometer |
D. | tachometer |
Answer» E. | |
34. |
Which among the following are the interconnected units of state diagram representation? |
A. | scalars |
B. | adders |
C. | integrators |
D. | all of the above |
Answer» E. | |
35. |
With the knowledge of state space representation the transfer function of the system |
A. | can be determined partly |
B. | can be determined completely |
C. | cannot be determined |
D. | none of the above |
Answer» C. cannot be determined | |
36. |
The state variable representation is preferred |
A. | to increase the sensitivity to the plant parameter variations |
B. | to reduce the sensitivity to the plant parameter variations |
C. | to make a plant simple and to control the transient response |
D. | none of the above |
Answer» D. none of the above | |
37. |
Conventional control theory is applicable to ______ systems |
A. | siso |
B. | mimo |
C. | time varying |
D. | non-linear |
Answer» B. mimo | |
38. |
The transfer function of a LTI system is given as 1/(s+1). What is the steady-state value of the unit-impulse response? |
A. | 0 |
B. | 1 |
C. | 2 |
D. | infinite |
Answer» B. 1 | |
39. |
The system which works on the initial condition without any input applied to it is called as : |
A. | homogeneous system |
B. | non homogeneous system |
C. | linear system |
D. | non linear system |
Answer» B. non homogeneous system | |
40. |
The transfer function for the state representation of the continuous time LTI system: dq(t)/dt=Aq(t)+Bx(t) Y(t)=Cq(t)+Dx(t) is given by |
A. | c(si-a)-1b+d |
B. | b(si-a)-1b+d |
C. | c(si-a)-1b+a |
D. | d(si-a)-1b+c |
Answer» B. b(si-a)-1b+d | |
41. |
The values of the characteristic equation is given by: |
A. | eigen values |
B. | state matrix |
C. | eigen vector |
D. | none of the mentioned |
Answer» B. state matrix | |
42. |
State model representation is possible using _________ |
A. | physical variables |
B. | phase variables |
C. | canonical state variables |
D. | all of the above |
Answer» E. | |
43. |
The transfer function of any stable system which has no zeros or poles in the right half of the s-plane is said to be: |
A. | minimum phase transfer function |
B. | non-minimum phase transfer function |
C. | minimum phase frequency response function |
D. | minimum gain transfer function |
Answer» B. non-minimum phase transfer function | |
44. |
In a closed loop for which the output is the speed of the motor, the output rate control can be used to: |
A. | limit the speed of the motor |
B. | limit the torque output of the motor |
C. | reduce the damping of the system |
D. | limit the acceleration of the motor |
Answer» B. limit the torque output of the motor | |
45. |
Open loop transfer function of a system having one zero with a positive real value is called. |
A. | zero phase function |
B. | negative phase function |
C. | positive phase function |
D. | non-minimum phase function |
Answer» E. | |
46. |
How is the sampling rate conversion achieved by factor I/D? |
A. | by increase in the sampling rate with (i) |
B. | by filtering the sequence to remove unwanted images of spectra of original signal |
C. | by decimation of filtered signal with factor d |
D. | all of above |
Answer» E. | |
47. |
In the cascaded form of realisation, the polynomials are factored into |
A. | product of 1st-order and 2nd-order polynomials |
B. | product of 2nd-order and 3rd-order polynomials |
C. | sum of 1st-order and 2nd-order polynomials |
D. | sum of 2nd-order and 3rd-order polynomials |
Answer» B. product of 2nd-order and 3rd-order polynomials | |
48. |
In cascade form of realization, how many bits should be used to represent the FIR filter coefficients in order to avoid the quantization effect on filter coefficients? |
A. | 5 to 10 |
B. | 12 to 14 |
C. | 20 to 24 |
D. | 28 to 40 |
Answer» C. 20 to 24 | |
49. |
Parallel form of realisation is done in |
A. | high speed filtering applications |
B. | low speed filtering applications |
C. | both a and b |
D. | none of the above |
Answer» B. low speed filtering applications | |
50. |
The transformation technique in which there is one to one mapping from s-domain to z-domain is |
A. | approximation of derivatives |
B. | impulse invariance method |
C. | bilinear transformation method |
D. | backward difference for the derivative |
Answer» D. backward difference for the derivative | |