Laplace Transform of a Periodic Function MCQ’s

This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Laplace Transform of a Periodic Function”.

1. A system function H(s) = 25s2+4s+100, the resonant frequency in rad/sec and bandwidth in rad/sec is ____________
a) 5, 10
b) 5, 4
c) 10, 4
d) 10, 10

2. Given a series RLC circuit. The impedance Z(s) of the circuit will be?
a) 5(s2+5)s2+s+1
b) 5(s2−5)s2−s−1
c) s2−10s−100s
d) s2+10s+100s

3. For a network having 1 Ω resistor and 1 F capacitor in series, the impedance Z(s) is ____________
a) s+1s
b) s+2s
c) ss+1
d) ss+2

4. A system function H(s) = V(s)I(s)=s(s+4). For i(t) = u(t) and value of system is 0 for t<0. Then v(t) is ___________
a) 1 – e-4t
b) e-4t
c) e4t
d) 1 + e-4t

5. The value of 2 [u (t – 1) – u (1 – 2t)] (u ( t + 1) + u (t)) at t = 3 sec is ____________
a) 0
b) 4
c) ∞
d) 1

6. The values of z11 and z21 for a T circuit having resistances 20 Ω each is _____________
a) 40, 20
b) 40, 60
c) 60, 40
d) 40, 40

7. A system is at rest for t < 0. It is given by dydt + 2y = u(t)sin⁡(2t+A). If steady state is reached at t = 0, then the value of angle A is ___________
a) 0°
b) 45°
c) -45°
d) ∞

8. Barlett’s Bisection Theorem is applicable to ___________
a) Unsymmetrical networks
b) Symmetrical networks
c) Both unsymmetrical and symmetrical networks
d) Neither to unsymmetrical nor to symmetrical networks

9. The values of z12 and z22 for a T circuit having resistances 20 Ω each is _____________
a) 40, 20
b) 40, 60
c) 20, 40
d) 40, 40

10. The z parameters form a matrix of the form ___________
a) [z11 z12; z21 z22]b) [z11 z12; z22 z21]c) [z12 z11; z21 z22]d) [z11 z22; z12 z21]

11. The Laplace transform of the function 6e5tcos(2t) – e7t is ______________
a) 6(s−5)(s−5)2+4–1s−7
b) 6(s−5)(s−5)2+4+1s−7
c) 6(s+5)(s+5)2+4–1s−7
d) 6(s+5)(s+5)2+4+1s−7

12. If y(t) = 120e10x(t), then the relation is _________
a) Dynamic
b) Static
c) Memory
d) Memoryless but not static

13. The Laplace transform of the function e-2tcos(3t) + 5e-2tsin(3t) is ____________
a) (s+2)−15(s+2)2−9
b) (s+2)+15(s+2)2−9
c) (s+2)+15(s+2)2+9
d) (s+2)−15(s+2)2+9

14. The Laplace transform of the function cosh2(t) is ____________
a) s2+2s(s2+4)
b) s2−2s(s2−4)
c) s2−2s(s2+4)
d) s2+2s(s2−4)

15. Given a system function H(s) = V(s)I(s)=(s+4)(s+3)2. And i(t) is a unit step, then V(t) in the steady state is ___________
a) 49
b) 43
c) 0
d) ∞