ldsa_studentsgola.pdf
DESCRIPTION
Uploaded from Google DocsTRANSCRIPT
JNTUK ONLINE EXAMINATIONS [Mid 1 - ldsa]
1. Consider a system The system is [01D01]
a. stable b. unstable c. marginally stable
d. conditionally stable 2. Match List - I (matrix) with List - II (Dimensions) for the state equation mathop x limits.
= AX +BU and Y = CX + DU and select the correct answer using the Codes given below the lists. Note: p - No. of Inputs , q - No. Of Outputs.
[01D02]
a. p = 3, q = 1, r = 2 , s = 4 b. p = 1, q = 3, r = 2 , s = 4
c. p = 3, q = 1, r = 4 , s = 2 d. p = 1, q = 3, r = 4 , s = 2
3. Consider a system . Then its poles are located at [01M01]
a. - 2, +2 b. - 2j, 2j c. 2, 2 d. - 2, - 2
4. A system is described by the following differential equation
If the state variables are X1(t) = y(t) ,X2(t) = then its coefficient matrix A is [01M02]
a.
b.
c.
d.
5. A linear system is equivalently represented by two sets of state equations = AX +BU
and = CW +DU . The eigen values of the representations are also computed as
.Which one of the following statements is true? [01M03]
a.
b.
c.
d.
6. The transfer function of a system described by the state equation mathop x limits. = - 2 X(t) + 2U(t) and Y(t) = 0.5 X(t) is [01S01]
a.
b.
c.
d. 7. A system is described by the following differential equation
If the state variables are X1(t) = y(t) ,X2(t) = then its coefficient matrix A is [01S02]
a.
b.
c.
d. 8. For the Electrical system the state variable (Physically measurable) are
i) Voltage across the capacitor ii) Current through the inductor iii) Voltage across the inductor iv) Current through the capacitor of these , Which are correct [01S03]
a. i ,ii b. iii ,iv c. i ,iii d. ii , iv
9. The minimum number of state variables required to represent an electrical network in state variable form is equal to [01S04]
a. number of independent energy storing elements b. number of active elements c. number of passive elements d. number of active and passive elements
10. The minimum number of states necessary to describe the network shown in figure (a) in a state variable form is
Figure(a)
[01S05]
a. 3 b. 2 c. 4
d. 6 11. For a series RLC network the system matrix A is given by [02D01]
a.
b.
c.
d.
12. The system transfer function is the system matrix 'A' is [02D02]
a.
b.
c.
d.
13. The system transfer function is , determine system matrix 'A'? [02M01]
a. - 2 b. - 1 c. 0 d. 2
14. The system transfer function is , determine input matrix 'B'? [02M02]
a.
b.
c.
d.
15. The system transfer function is , determine output matrix 'C'? [02M03]
a.
b.
c.
d. 16. For a series RC network the input matrix 'B' is given by [02S01]
a. 1/RC b. -1/RC c. 1 d. 0
17. For a second order system , the system matrix 'A' dimension is [02S02]
a. b. c.
d. 18. For a series RLC network the number of state variables required are [02S03]
a. 2 b. 3 c. 4 d. 1
19. For a series RL network the system matrix 'A' is given by [02S04]
a. R/L b. - R/L c. L/R d. - L/R
20. For a series RC network the system matrix 'A' is given by [02S05]
a. - 1 /RC b. 1 /RC c. 1 d. 0
21. The network in (Figure (a) ) fig(1) is replaced as in fig(2) by equivalent source method. Then VL(t) in terms of i L (t) and Vi (t) is
Figure(a)
[03D01]
a. VL(t) = iL R - Vi (t)
b.
c.
d. 22. For the network shown below Figure (a) , choose a tree to represent the system in
state Variable model
Figure(a)
[03D02]
a. Consider Figure (a)
Figure(a)
b. Consider Figure (a)
Figure(a)
c. Consider Figure (a)
Figure(a)
d. Consider Figure (a)
Figure(a)
23. In Equivalent source method capacitors are replaced by equivalent _ _ _ _ _ _ Sources and inductors are replaced by equivalent _ _ _ _ _ _ sources. [03M01]
a. Current, Voltage b. Current ,current c. Voltage, Voltage d. Voltage , Current
24. In representing an electrical network in state variable form by network topological method , links are taken as [03M02]
a. Current sources and inductors b. Capacitors Inductors c. Voltage sources d. Voltage dependent sources
25. In fundamental tieset matrix which of the statement is correct? [03M03]
a. It is based on KVL b. It is based on KCL c. It is based on Current division Rule d. It is based on Voltage division Rule
26. Number of fundamental cut-sets in a graph is equal to [03S01]
a. N - 1 b. N c. N - 2 d. N - 3
27. Number of fundamental tie-sets in a graph is equal to [03S02]
a. B-N+1 b. B+N-1 c. B-N d. B+N+1
28. Number of branches in a tree [03S03]
a. N
b. N-1 c. N+1 d. B-N+1
29. Number of links in a graph [03S04]
a. B - N+1 b. B+N - 1 c. B - N d. B+N+1
30. In representing an electrical network in state variable form by network topological method , the branches of tree are taken as [03S05]
a. Voltage sources and Capacitors b. Current sources c. Inductors d. Current dependent sources
31. A state variable formulation of a system is given by the equations
; Y =( 1 0) . If x1(0) = 1 , x2 (0)= 0, the Response y(t) to unit step is [04D01]
a.
b.
c. d. 1
32. A certain LTI system has the state and the output equation s given below
; Y =( 1 1) .If x1(0) = 1 , x2 (0)= -1,
U(0) =0. Then is [04D02]
a. 1 b. -1 c. 0 d. 2
33. A system is described by the state equation Then e = [04G01]
a.
b.
c. d. None
34. A system is described by the state equation mathop x limits. = AX. Determine system
Matrix A if [04M01]
a.
b.
c.
d. 35. Which of the following properties are associated with STM ?
i)
ii )
iii ) Select the correct answer using the codes given below [04M02]
a. i,ii,iii b. i,ii c. ii,iii d. i, iii
36. The property of a state transition matrix is [04S01]
a.
b.
c.
d.
37. A system is described by the state equation and x(O)=
then x( t )is [04S02]
a.
b.
c.
d. 38. The zero input response of the given state equation mathop x limits. = AX + BU is
[04S03]
a.
b.
c.
d.
39. The zero state response of the given state equation = AX + BU is [04S04]
a.
b.
c.
d. 40. e can be expanded as [04S05]
a.
b.
c.
d. 41. For the same peak value, which of the following wave will have the highest RMS value
[05D01]
a. Half wave rectified sine wave b. Sine wave c. Square wave d. Triangular wave
42. Two voltage vectors are in quadrature and have effective values of 3 and 4 V. The sum of the two vectors is [05D02]
a. 5 V b. 7 V c. 1 V d. 12 V
43. The effective value of the current wave form represented by I = 200sinwt + 100 sin3wt +50 sin5wt [05M01]
a. 26250 A b. 350 A c. 175 A d. 20250 A
44. A wire is carrying a direct current of 20 A and a alternating current of peak value 20 A. The RMS value of the resultant current in the wire is [05M02]
a. 24.5 A b. 20 A c. 40 A d. 10 A
45. The RMS value of the voltage for a voltage function V(t)= 10 + 5cos(628t + 300) volts through a circuit is [05M03]
a. 10.6 V b. 5 V c. 10 V d. 15 V
46. The effective value means [05S01]
a. Root Mean Square value b. Average value c. Maximum value d. Peak value
47. The Volt meters and Ammeters are designed to read [05S02]
a. Virtual value b. Maximum Value c. Average Value d. Mean Value
48. The square root of the sum of the squares of the effective values of the harmonic components is called as [05S03]
a. Virtual value b. Average value c. Maximum value d. Amplitude value
49. If the peak value of a certain sine wave voltage is 5V, then the effective value is [05S04]
a. 3.535 V b. 0.707 V c. 1.17 V d. 5 V
50. The RMS current through a 10 KΩ resistor is 5 mA. The RMS voltage drop across the resistor is [05S05]
a. 50 V b. 10 V c. 5 V d. zero
51. If the average value of a periodic function over one period is zero and it consists of only odd harmonics then it must be possessing symmetry [06D01]
a. Half Wave b. Even quarter wave c. Odd quarter wave d. Odd
52. The voltage wave consists of two components, a 50 V dc component and a sinusoidal component with a maximum value of 50 V. Then the average value of the resultant is [06D02]
a. 50 V b. Zero c. 86.6 V d. 100 V
53. The average value of the voltage V (t) = 10 + 20 sin3wt + 30 sin5wt is [06M01]
a. 10 b. 60 c. 30 d. 20
54. The average value of the voltage wave form represents [06M02]
a. Constant term in the fourier series b. Second harmonic component c. Third harmonic component d. Fourth harmonic component
55. The average value of the current I (t) = 5+ 10 sin3wt + 20 sin5wt is [06M03]
a. 5
b. 35 c. 10 d. 20
56. The average value of the half wave rectified sine wave of amplitude Vm is [06S01]
a. Vm/π
b. 2Vm/π c. Vm/2π d. 3Vm/π
57. The constant term in the fourier series represents [06S02]
a. Average value b. Effective value
c. Virtual value d. Maximum value
58. The average value of a wave form is commonly called as [06S03]
a. DC value b. AC value c. RMS value
d. Effective value 59. A sinusoidal current has peak value of 12 A, then the average value is [06S04]
a. 7.64 A b. 24 A c. 8.48 A d. 12 A
60. A periodic function has zero average value over a cycle and its fourier series consists of of only cosine terms. What is the symmetry possessed by this function? [06S05]
a. Even quarter wave b. Odd quarter wave c. Even d. Odd
61. A resistor R=0.5 ohms has an applied voltage V(t)=5+4sin(wt+ θ 1)+3sin(3wt+ θ 2), then the power absorbed by the resistor is [07D01]
a. 75 watts b. 25 watts c. 50 watts d. 100 watts
62. In a linear circuit, a current I(t) = 5 + 100sin(314t +450) and voltage applied is V(t) = 45 + 1210sin(314t + 86.60), then the average power consumed by the circuit is [07D02]
a. 45475 watts b. 225 Watts c. 45250 Watts d. 54475 Watts
63. When a resistance is connected across an ac voltage source, the frequency of power wave is [07M01]
a. Twice that of the voltage and current waves b. Equal to frequency of the voltage wave c. Equal to frequency of current wave d. Zero
64. The instrument for measuring average power is [07M02]
a. Watt meter b. Watt-hour meter c. VAR meter d. Kilo Watt-hour meter
65. The voltage across a circuit is V(t) = 50 cos(wt 300) Volts and current through the circuit is I(t) = 3 sin(wt 300) Amps. Then the average power is [07M03]
a. 64.95 watts b. 150 watts c. 44.95 watts d. 15 watts
66. When the wave is Non-Sinusoidal, the algebraic sum of the powers represented by corresponding harmonics of voltage and current is called [07S01]
a. Average power b. RMS power c. Maximum power d. Minimum power
67. The integral of the product of voltage and current of unlike frequencies over a complete cycle is [07S02]
a. Zero b. Infinite c. Maximum d. Negative
68. The total power for the periodic but Non-Sinusoidal voltage and current is [07S03]
a. The sum of the Average power for the harmonic components. b. The sum of the RMS power for the harmonic components c. The sum of the Average power without harmonic components d. The sum of the RMS without harmonic components
69. When the wave is Non-sinusoidal , the algebraic sum of the powers represented by corresponding harmonics of voltage and current is [07S04]
a. Average power b. RMS power c. Effective power d. Maximum power
70. In a purely reactive circuit, the average power is [07S05]
a. Zero b. Infinite c. Maximum d. Negative
71. A sinusoidal voltage V(t) = 50 sin(wt) is applied to a RL series circuit. The current in the circuit is I(t) = 25 sin(wt 530), then the power factor of the circuit is [08D01]
a. 0.6 b. 0.707 c. 0.637 d. 0.5
72. A series connected load draws a current I(t)= 4 cos(100t +100) A, and the applied voltage is V(t) = 120 cos(100t 200). The power factor of the load is [08D02]
a. 0.866 b. 0.5 c. 0.707 d. 0.637
73. When the power factor is unity, then [08M01]
a. The apparent power is equal to average power b. The apparent power is zero c. The average power is zero d. The average power should be more than average power
74. When the power factor is zero, then [08M02]
a. The average power is zero b. The apparent power is equal to average power c. The apparent power is zero d. The average power should be more than average power
75. The heat losses in any electrical device are independent of [08M03]
a. Power factor b. Voltage c. Current d. Resistance
76. The power factor for non sinusoidal wave is defined as the ratio of [08S01]
a. Real power to apparent power b. Apparent power to real power c. Active power to Reactive power d. Reactive power to active power
77. For a R-L network, The real power is 258.135 watts and the apparent power is 370.238 VA , then the power factor is [08S02]
a. 0.697 lagging b. 0.697 leading c. 0.5 lagging d. 0.789 lagging
78. The power factor is the [08S03]
a. Cosine of the angle of the load impedance b. Sine of the angle of the load impedance c. Cosine of the voltage phase angle only d. Cosine of the current phase angle only
79. The power factor is useful in determining [08S04]
a. The true power transferred to the load
b. True power transferred to the source c. Apparent power transferred to the load d. Reactive power transferred to the load
80. If the load impedance is 20 j20, the power factor is [08S05]
a. 0.707 b. 0.5 c. 1 d. 0
81. The presence of voltage distortion [09D01]
a. Increases the dielectric loss in capacitors b. Decrease the dielectric loss in capacitors c. Increase the performance of capacitors d. Increase dielectric strength of the capacitors
82. The harmonic source increase the root mean square current results [09D02]
a. Increase in KVA consumption b. Decrease in KVA consumption c. Improve power factor d. Decrease in copper loss
83. The harmonics will [09M01]
a. Decrease Power factor b. Increase power factor c. Decrease RMS current d. Increase RMS voltage
84. Non-sinusoidal voltages applied to electrical machines may [09M02]
a. Cause Over heating
b. Improve efficiency c. Increase speed d. Increase power factor
85. The presence of harmonic voltages [09M03]
a. Increase hysteresis and eddy current losses b. Decrease hysteresis and eddy current losses
c. Increase hystteresis loss only d. Increase eddy current loss only
86. The harmonic current will [09S01]
a. Reduce load carrying capacity of the motor b. Reduce power loss in the motor
c. Reduce winding temperature of the motor d. Reduce power generated by the motor
87. The harmonic current will produce [09S02]
a. Pulsating torque b. Constant torque c. Direct torque
d. Moving torque 88. The harmonic currents sometimes produces [09S03]
a. Resonance b. Immittance c. Anti Resonance d. Admittance
89. The harmonics, whose frequencies are integral multiples will have [09S04]
a. Zero magnitude b. Unity magnitude c. Maximum magnitude d. Infinite magnitude
90. The harmonics are generated by [09S05]
a. Non-linear loads b. Linear loads c. Generators d. Power lines
91. Consider the following statements related to Fourier series of a periodic waveform: 1. It expresses the given periodic waveform as a combination of d.c component, sine and cosine waveforms of different harmonic frequencies.
2. The amplitude spectrum is discrete 3. The evaluation of Fourier coefficients gets simplified if waveform symmetries are used 4. The amplitude spectrum is continuous. Which of the above statements are correct? [10D01]
a. 1,2 and 3
b. 2,3 and 4 c. 1,3 and 4 d. 1,2 and 4
92. A periodic function f(t) has the exponential series
. The trigonometric Fourier series is [10D02]
a. for k odd
b. for all integers k
c. for k odd
d. for k odd 93. In Fourier series the coefficient bn can be found by [10M01]
a.
b.
c.
d. 94. In Fourier series the coefficient an can be found by [10M02]
a.
b.
c.
d. 95. For the half-wave rectified sine wave of amplitude Am , the Fourier coefficient (a0/2) =
[10M03]
a. Am/ π b. 2Am/π c. Am/2
d. Am 96. Which of the following statement is true for a delayed step function u(t-T) [10S01]
a. It does not have Fourier series b. Its laplace transform is 1/s c. It has a finite Fourier series d. It has a infinite Fourier series
97. In a Fourier series expansion of a periodic function , the coefficient a0 represents its [10S02]
a. net area per cycle b. d.c. value c. average value over half cycle d. average a.c value per cycle
98. f(t) is a periodic function with period T. The average value is [10S03]
a.
b.
c.
d. 99. Complex voltage waveform is given by V = 100 sin(ωt) + 36 sin (3ωt+π/2) + 20
sin(5ωt+π). It has a time period of T seconds.The percentage fifth harmonic contents in the waveform is [10S04]
a. 5 b. 10 c. 12
d. 36 100. A periodic function has zero average value over a cycle and its Fourier series
consists of only odd cosine terms. What is the symmetry possessed by this function [10S05]
a. even quarter wave b. odd quarter wave
c. even d. odd
101. The phase and amplitude spectra for the few harmonics of a periodic signal of time period 1sec are shown in the Figure (a) below
Figure(a)
[11D01]
a.
b.
c.
d. 102. (Figure (a) )Fig.(a) and (b) are the waveform of the same periodic function.f2(t)
is obtained from f1(t) by shifting vertical axis.The Fourier series for f1(t) is
for k odd, then f2(t) is given by
Figure(a)
[11D02]
a.
b. , k odd
c. , k odd
d. , k odd
103. Any periodic function f(t) with fundamental frequency can be expressed in exponential Fourier series form as [11M01]
a.
b.
c.
d. 104. Match List-I (Properties) with List-II ( Characterisitcs of the trigonometric form)
in regard to Fourier series of periodic f(t) and select the correct answer using the codes given below:
[11M02]
a. A =4, B=3, C=2, D=1 b. A =3, B=4, C=1, D=2
c. A =5, B=4, C=2, D=3 d. A =4, B=5, C=3, D=1
105. Match List-I with List-II and select the correct answer using the codes given below:
[11M03]
a. A = 5, B = 1, C = 2, D = 4 b. A = 5, B = 1, C = 2, D = 3 c. A = 4, B = 1, C = 3, D = 2 d. A = 5, B = 3, C = 4, D = 1
106. If in the fourier series of a periodic function , the coefficient a0 =0 , then it must be having _ _ _ _ _ _ _ _ _ symmetry [11S01]
a. odd b. even c. neither odd nor even d. both odd and even
107. A periodic function of half- wave symmetry is necessarily [11S02]
a. an odd function b. an even function c. neither odd nor even d. both odd and even
108. Which one of the following is Dirchlet condition? [11S03]
a. must be finite
b. must be infinite c. f(t) should be infinite d. F(jω) should be infinite
109. The inverse Fourier transform of F(jω) = [11S04]
a.
b.
c.
d. 110. In the case of periodic function possessing half wave symmetry, which Fourier
coefficient is zero? [11S05]
a. a0 b. bn c. an
d. 111. The Fourier transform of v(t) = cos ω0t is given by [12D01]
a.
b.
c.
d.
112. is, where F indicates Fourier transform [12D02]
a.
b.
c.
d.
113. is, where F indicates Fourier transform [12M01]
a.
b.
c.
d.
114. If represents a Fourier transform pair, then according to the duality property of Fourier transforms, [12M02]
a.
b.
c.
d.
115. is, where F indicates Fourier transform [12M03]
a.
b.
c.
d.
116. = [12S01]
a. AX(jω)+BY(jω) b. AX(jω)-BY(jω) c. BX(jω)+AY(jω) d. BX(jω)-AY(jω)
117. , for a < 0 is [12S02]
a.
b.
c.
d.
118. = [12S03]
a.
b.
c.
d.
119. ,for a > 0 is [12S04]
a.
b.
c.
d.
120. = [12S05]
a.
b.
c.
d. 121. The property of sinc(x) is [13D01]
a. sinc(x) = 0 for x= , n is an integer b. sinc(x) = 1 for x= , n is an integer c. sinc(x) = -1 for x= , n is an integer d. sinc(x) = 0.5 for x= , n is an integer
122. Which of these statement is correct ? [13D02]
a. sgn(t) +1 = 2u(t) b. sgn(t) -1 = 2u(t) c. sgn(t) +1 = u(t) d. sgn(t) -1 = u(t)
123. The signum function is defined as [13M01]
a. sgn(t) = 1 t > 0 , = -1 t < 0 b. sgn(t) = -1 t >0 , = 1 t <0 c. sgn(t) = 0 t >0 , =1 t <0 d. sgn(t) = -1 t >0 , = 0 t <0
124. = [13M02]
a.
b.
c.
d.
125. Parseval's Theorem states that [13M03]
a.
b.
c.
d. 126. Fourier transform of a constant A is [13S01]
a. b. c.
d. 127. Fourier transform of signum function is [13S02]
a.
b.
c.
d. 128. Fourier transform of unit step function is [13S03]
a.
b.
c.
d. 129. If f(t) is equal to the current through, or the voltage across a 1-ohm resistor, the
total energy is [13S04]
a.
b.
c.
d. 130. Fourier transform of a triangular pulse of amplitude A and duration -T/2 to T/2
is [14D01]
a.
b.
c.
d.
131. The Fourier transform of is ,then the Fourier transform of is [14D02]
a.
b.
c.
d. 132. Fourier transform of the function f(t) = Ae u(t) is [14M01]
a.
b.
c.
d. 133. Which of the following statement is true? [14M02]
a. sinc(x) =1, when x = 0 b. sinc(x) = - 1 when x = π
c. sinc(x) = - 0.5 when x = π d. sinc(x) = 0.5 when x = 0
134. A gate function defined as G(t) = 1 for - T/2 < t < T/2 , = 0 for other wise . Then Fourier transform of G(t) is [14M03]
a.
b.
c.
d.
135. Fourier transform of double sided exponential signal is [14S01]
a.
b.
c.
d. 136. Fourier transform of function f(t) = kt , t 0 is [14S02]
a.
b.
c.
d. 137. Fourier transform of unit impulse function is [14S03]
a. 1 b. 0
c.
d. 138. Which of the following statement is true? [14S04]
a. The limit of integration in the transform are different for Laplace it is one sided (0 to ∞) while for Fourier transform , it is two sided ( to ∞)
b. The limit of integration in the transform are different for Laplace it is two sided ( to ∞) while for Fourier transform , it is one sided (0 to ∞)
c. The limit of integration in the transform are same for Laplace it is two sided ( to ∞) while for Fourier transform , it is two sided ( to ∞)
d. The limit of integration in the transform are same for Laplace it is one sided (0 to ∞) while for Fourier transform , it is one sided (0 to ∞)
139. Which of the following statement is true ? [14S05]
a. the 'j ω' in the Fourier transform has the same position as 's' in the laplace transform
b. the 's' in the Fourier transform has the same position as 'jω' in the laplace transform c. the 'jω' in the Fourier transform has the same position as 'e ' in the laplace transform d. the 'e ' in the Fourier transform has the same position as 's' in the laplace transform
140. For an initially relaxed series RC network, if a unit step voltage is applied then the current flowing through the network is given by i(t)= 1/2 e , then the parameters of the network are [15D01]
a. R = 1 Ω , C = 2F b. R = 10 Ω ,C = 5F c. R = 2 Ω , C = 1F d. R = 10 Ω, C = 0.2F
141. A series RL circuit is initially relaxed. A step voltage is applied to the circuit .If τ is the time constant of the circuit, the voltage across R and L will be same at time t equal to [15D02]
a. τ loge (2) b. τ loge (1/2) c. (1/τ) loge (2) d. (1/τ) loge(1/2)
142. For a series RC circuit, the steady error for the unit ramp input and output as voltage across the capacitor is [15M01]
a. RC b. 1/RC c. R d. C
143. For a series RL circuit, the current response for a unit step voltage input is y(t) then dy(t)/dt at t = 0 is [15M02]
a. 1/T b. 1 c. 0 d. -1/T
144. A unit step input is applied to an initially relaxed series RLC circuit with R=10Ω , L=1 mH and C = 10 µF, then its current response will be [15M03]
a. under damped b. undamped c. critically damped d. over damped
145. A unit step input to a linear network has a response x(t) and a unit ramp input to the same network has a response y(t). Then the response x(t) = [15S01]
a. Differentiation of y(t) b. Integral of y(t) c. Reciprocal of y(t) d. Has no relation with y(t)
146. For d.c input voltage ,under steady state conditions inductor acts as [15S02]
a. short circuit b. open circuit c. resistor d. capacitor
147. For d.c input voltage ,under steady state conditions capacitor acts as [15S03]
a. open circuit b. short circuit c. resistor
d. capacitor 148. For a series RL circuit the current response for unit step input is [15S04]
a. rising exponential function b. decaying exponential function c. step function d. parabolic function
149. A unit ramp function when integrated yields [15S05]
a. unit parabolic function b. unit ramp function c. unit impulse function d. unit doublet function
150. For a series RC circuit the unit impulse current response is [16D01]
a.
b.
c.
d. 151. A first order system is initially relaxed. For a unit step signal u(t) , the response
is c(t)=(1-e ) u(t) for t >0 . If a signal 4u(t)+δ(t) is applied to the same initially relaxed system, the response will be [16D02]
a. 4u(t) b. (4 - 4 e ) u(t) c. (4 - 8e ) u(t) d. ( 4 + 4 e ) u(t)
152. A first order system is initially relaxed. For a unit step signal u(t) , the response is c(t)=e u(t) for t >0 . If a signal 3u(t)+δ(t) is applied to the same initially relaxed system, the response will be [16M01]
a. 0 b. e u(t) c. u(t)
d. 3e u(t) 153. An impulse voltage source Vi(t) = δ(t) is connected in series with a resistance of
1K Ω and an inductance of 10 m H. Determine its Time constant ? [16M02]
a. 10 µsec b. 1 µsec c. 1 sec
d. 10 sec 154. A pulse of unit amplitude and width 'a' is applied to a series RL circuit with
R=2Ω, L=1H. The current i(t) as 't' tends to infinity will be [16M03]
a. 1A b. Zero
c. a value between zero and one depending upon the wdith of the pulse d. infinite
155. The impulse response of an RC circuit is a [16S01]
a. decaying exponential function b. rising exponential function c. step function
d. parabolic function 156. The impulse response of an RL circuit is a [16S02]
a. decaying exponential function b. rising exponential function c. step function d. parabolic function
157. For , the initial and final values of v(t) will be respectively [16S03]
a. 1 and 2 b. 2 and 2 c. 2 and 1 d. 1 and 1
158. For the function , then is [16S04]
a. 0 b. 1 c. 2 d. 3
159. The impulse response (c(t) = e ) of the system is shown in Figure (a) . below. Then the value of 'a' is
Figure(a)
[16S05]
a. 1/t2 b. t1
c. 1/t1 d. t2
160. For , the initial and final values of v(t) will be respectively [17D01]
a. 1 and 2 b. 2 and 2 c. 2 and 1 d. 1 and 1
161. Laplace transform of is [17M01]
a.
b.
c.
d.
162. Laplace transform of is [17M02]
a. sF(s) - f(o) b. sF(s) c. F(s) - sf(0)
d. F(s) - f(0) 163. Laplace transform of tf(t) is [17M03]
a.
b.
c.
d. 164. The laplace transform of e f(t) is [17S01]
a. F(s + a) b. F(s - a) c. F(s)/(s + a)
d. F(s)/(s - a) 165. The unit step response of a system is given by (1-e ) u(t) ,its impulse
response is [17S02]
a. e u(t) b. α e u(t) c. - α e u(t)
d. (1/ α) e u(t)
166. Inverse laplace transform of is [17S03]
a. f(t - T) b. f(t +T) c. f(t) d. f(t - s)
167. If x(t) and its first derivatives are laplace transformable and the laplace
transform of x(t) is X(s), then is given by [17S04]
a.
b.
c.
d. 168. Laplace transform of unit impulse function is [17S05]
a. 1 b. s c. 1/s d. s2
169. The Laplace transform of the signal shown in the Figure (a) . is
Figure(a)
[18D01]
a.
b.
c.
d. 170. The second derivative of a function is shown in Figure (a) . by the impulse train.
Determine the function f(t)
Figure(a)
[18D02]
a. Consider Figure (a)
Figure(a)
b. Consider Figure (a)
Figure(a)
c. Consider Figure (a)
Figure(a)
d. Consider Figure (a)
Figure(a)
171. The Laplace transform of a function f(t) where f(t) is periodic Wave form with period T, is K(s) times the Laplace transform of its first period. Then [18M01]
a. K(s) = s b. K(s) = e c. K(s) = 1/(1+e ) d. K(s) = 1/(1-e )
172. Inverse laplace transform of 1/(s2+7s+12) is [18M02]
a.
b.
c.
d. 173. The signal given below Figure (a) may be represented as
Figure(a)
[18M03]
a. u(t)+(t-1)u(t-1)-(t-2)u(t-2)
b. u(t)+u(t-1)+(t-2)u(t-2) c. u(t)+(t-1)u(t-1)+(t-2)u(t-2) d. u(t)-(t-1)u(t-1)+(t-2)u(t-2)
174. Laplace transform of sinωt is [18S01]
a.
b.
c.
d. 175. Laplace transform of unit step function is [18S02]
a. 1/s b. 1 c. s
d. s2 176. Laplace transform of unit impulse function is [18S03]
a. 1 b. s c. 1/s d. s2
177. Laplace transform of te is [18S04]
a.
b.
c.
d.
178. If δ(t) denotes a unit impulse, then the laplace transform of will be [18S05]
a. s2
b. s c. 1 d. s
179. Inverse Laplace transform of [19D01]
a.
b.
c.
d. 180. If r(t) is the linear input to a linear network whose impulse response h(t) is
known, then the output response c(t) will be ( Where * indicates convolution) [19M01]
a. c(t) = r(t) * h(t)
b. c(t) =
c. c(t) =
d. c(t) = h(t) 181. Find the response with e as input for the following transfer function
[19M02]
a.
b. c. d.
182. = [19S01]
a.
b.
c.
d.
183. [19S02]
a.
b.
c.
d.
184. = [19S03]
a. e cosbt b. e sinbt c. e cotbt d. e tanbt
185. Given that m(t) = 5te and n(t) = 5 e , the Laplace transform of the signal
is given by [20D01]
a. 25/(s+5)3 b. 25/(s+5)2 c. - 25/(s+5)3 d. 5/(s+5)3
186. The inverse transform of is [20M01]
a.
b.
c.
d. 187. Find the response of a linear network with e as input if h(t)=e ,where h(t)
is the impulse response of a linear network ? [20S01]
a. t e b. e c. t e d. e
188. Find the response of a system with u(t) as input if h(t) =t, where h(t) is the impulse response of a system? [20S02]
a. t2/2 b. t c. 2t d. t2