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This section includes 11 Mcqs, each offering curated multiple-choice questions to sharpen your Network Theory knowledge and support exam preparation. Choose a topic below to get started.
1. |
In a dual slop integrating type digital voltmeter, the first integrating is carried out for 50 periods of the supply frequency of 50 Hz. If the reference voltage used is 10 V, the total conversion time for an input of 40 V is? |
A. | 3 s |
B. | 2 s |
C. | 4 s |
D. | 1 s |
Answer» D. 1 s | |
2. |
For the circuit given below, the Time-constant is __________ |
A. | 1.5 |
B. | 1.25 |
C. | 2.5 |
D. | 2.25 |
Answer» C. 2.5 | |
3. |
Convolution of step signal 100 times that is 100 convolution operations. The Laplace transform is ______________ |
A. | \(\frac{1}{s^{100}}\) |
B. | \(\frac{1}{s^{50}}\) |
C. | 1 |
D. | s100 |
Answer» B. \(\frac{1}{s^{50}}\) | |
4. |
The Laplace transform of F(t) = sin(2t)cos(2t) is ______________ |
A. | \(\frac{4}{2(s^2+16)}\) |
B. | \(\frac{1}{s+4} – \frac{2}{s+2} + \frac{1}{s}\) |
C. | \(\frac{2}{s^3}\) |
D. | \(\frac{1}{2s} + \frac{s}{2(s^2+36)}\) |
Answer» B. \(\frac{1}{s+4} – \frac{2}{s+2} + \frac{1}{s}\) | |
5. |
The inverse Laplace transform of F(s) = \(\frac{e^{-3s}}{s(s^2+3s+2)}\) is ______________ |
A. | {0.5 + 0.5e-2(t+3) – e-(t+3)} u (t+3) |
B. | {0.5 + 0.5e-2(t+3) – e-(t-3)} u (t-3) |
C. | {0.5 – 0.5e-2(t-3) – e-(t-3)} u (t-3) |
D. | 0.5 + 0.5e-2t – e-t) |
Answer» C. {0.5 – 0.5e-2(t-3) – e-(t-3)} u (t-3) | |
6. |
The inverse Laplace transform of F(s) = \(\frac{5}{s^2-9}\) is ______________ |
A. | \(\frac{1}{6}e^{3t} + \frac{5}{6e^{-3t}}\) |
B. | \(\frac{1}{6}e^{3t} – \frac{5}{6e^{-3t}}\) |
C. | \(\frac{5}{6}e^{3t} + \frac{5}{6e^{-3t}}\) |
D. | \(\frac{5}{6}e^{3t} – \frac{5}{6e^{-3t}}\) |
Answer» E. | |
7. |
The inverse Laplace transform of F(s) = \(\frac{3s+5}{s^2+7}\) is _____________ |
A. | 3 sin (\(\sqrt{7}\)t) – \(\frac{5}{\sqrt{7}}\) cos (\(\sqrt{7}\) t) |
B. | 3 sin (\(\sqrt{7}\)t) + \(\frac{5}{\sqrt{7}}\) cos (\(\sqrt{7}\) t) |
C. | 3 cos (\(\sqrt{7}\)t) + \(\frac{5}{\sqrt{7}}\) sin (\(\sqrt{7}\) t) |
D. | 3 cos (\(\sqrt{7}\)t) – \(\frac{5}{\sqrt{7}}\) sin (\(\sqrt{7}\) t) |
Answer» D. 3 cos (\(\sqrt{7}\)t) – \(\frac{5}{\sqrt{7}}\) sin (\(\sqrt{7}\) t) | |
8. |
The inverse Laplace transform of F(s) = \(\frac{2}{s+c}e^{-bs}\) is _____________ |
A. | 2e-k (t+b) u (t+b)b) 2e-k (t-b) u (t-b)c) 2ek (t-b) u (t-b)d) 2ek (t-b) u (t+ |
B. | u (t+b)b) 2e-k (t-b) u (t-b) |
C. | 2ek (t-b) u (t-b) |
D. | 2ek (t-b) u (t+b) |
Answer» C. 2ek (t-b) u (t-b) | |
9. |
What is the steady state value of F (t), if it is known that F(s) = b/(s(s+1)(s+a)), where a>0? |
A. | \(\frac{b}{a}\) |
B. | \(\frac{a}{b}\) |
C. | 1 |
D. | Cannot be determined |
Answer» B. \(\frac{a}{b}\) | |
10. |
What is the steady state value of F (t), if it is known that F(s) = \(\frac{1}{(s+2)^2 (s+4)}\)? |
A. | \(\frac{1}{16}\) |
B. | Cannot be determined |
C. | 0 |
D. | \(\frac{1}{8}\) |
Answer» D. \(\frac{1}{8}\) | |
11. |
What is the steady state value of F (t), if it is known that F(s) = \(\frac{2}{s(S+1)(s+2)(s+3)}\)? |
A. | \(\frac{1}{2}\) |
B. | \(\frac{1}{3}\) |
C. | \(\frac{1}{4}\) |
D. | Cannot be determined |
Answer» C. \(\frac{1}{4}\) | |