Laplace Transform its Application to Circuit Analysis - Electronic Engineering (MCQ) questions & answers

1)   Consider the RC circuit shown below. What will be the value of time constant for RC circuit?

a. 0.25 sec
b. 0.50 sec
c. 1 sec
d. 2 sec
Answer  Explanation 

ANSWER: 1 sec

Explanation:
No explanation is available for this question!
2)   What would be the value of i(t) especially for t > 0 in the RC circuit shown below? [Assume that the polarities of vc (0-) are similar to the drop across capacitor due to i(t)]

a. -2.125 e-1t A
b. -4.125 e-2t A
c. -8 e-4t A
d. -10 e-5t A
Answer  Explanation 

ANSWER: -2.125 e-1t A

Explanation:
No explanation is available for this question!
3)   What will be the driving point impedance of Laplace domain network shown below?

a. (10s2 + 5.25s + 1.5) / (s+0.125)
b. (6s2 + 2.25s + 1.5) / (s+0.25)
c. (5s2 + 2.25s + 1.5) / (s+0.16)
d. (8s2 + 2.25s + 1.5) / (s+0.8)
Answer  Explanation 

ANSWER: (10s2 + 5.25s + 1.5) / (s+0.125)

Explanation:
No explanation is available for this question!
4)   From the circuit diagram shown below, what would be the value of transform impedance of a single capacitor in Laplace domain?

a. 1 / sC
b. sC
c. sC - 1
d. sC / 1+ sC
Answer  Explanation 

ANSWER: 1 / sC

Explanation:
No explanation is available for this question!
5)   In accordance to Laplace domain theory, the transform admittance of resistance is _______

a. Impedance
b. Conductance
c. Inductance
d. Capacitance
Answer  Explanation 

ANSWER: Conductance

Explanation:
No explanation is available for this question!
6)   Consider a function f(t) that satisfies the differential equation given below. What equation will be generated by taking Laplace transform and replacing the terms f(0-) & f'(0-) by zero?

[d2 f(t) / dt2] + 5 [df(t) / dt ] + 6 f (t) = 10

a. [S2 F(s) + 5s F(s)+6 F(s)] = 10/s
b. [S2 F(s) + 5s F(s) - 6 F(s)] = 10/s
c. [S2 F(s) - 5s F(s) + 6 F(s)] = 10/s
d. [S2 F(s) - 5s F(s) - 6 F(s)] = 10/s
Answer  Explanation 

ANSWER: [S2 F(s) + 5s F(s)+6 F(s)] = 10/s

Explanation:
No explanation is available for this question!
7)   With reference to the diagram shown below, by how many instants is the ramp function shifted or delayed?

a. T
b. t - T
c. 1
d. -T
Answer  Explanation 

ANSWER: T

Explanation:
No explanation is available for this question!
8)   In the pictorial schematic shown below, what would be the equation of time domain behaviour produced due to complex frequency variable for σ > 0?

a. eσt sin ωt
b. eσt cos ωt
c. eσt sin ωt + eσt cos ωt
d. eσt sin ωt – eσt cos ωt
Answer  Explanation 

ANSWER: eσt cos ωt

Explanation:
No explanation is available for this question!
9)   How does the 'σ' of complex frequency variable appear in time domain?

a. As a linear power
b. As a reactive power
c. As an exponential power
d. As an iterative power
Answer  Explanation 

ANSWER: As an exponential power

Explanation:
No explanation is available for this question!
10)   What does 'σ' indicate in the equation of complex frequency variable s = σ + jω while defining the laplace transform?  

A. Attenuation constant
B. Damping factor
C. Propagation constant
D. Phase constant

a. A & B
b. C & D
c. B & C
d. B & D
Answer  Explanation 

ANSWER: A & B

Explanation:
No explanation is available for this question!
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