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This section includes 9 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. |
The inverse transform of the function k/(s+a) is? |
A. | ke<sup>-at</sup> u(t) |
B. | ke<sup>at</sup> u(t) |
C. | ke<sup>-at</sup> u(t-a) |
D. | ke<sup>at</sup> u(t-a) |
Answer» C. ke<sup>-at</sup> u(t-a) | |
2. |
For the function F (s) = (s+5)/s(s2+2s+5), after splitting this function into the partial fractions. What is the inverse transform of F (s) is? |
A. | 1+ 1/2 e<sup>(-1+j2)t</sup>-1/2 e<sup>(-1-j2)t</sup> |
B. | 1+ 1/2 e<sup>(-1+j2)t</sup>+1/2 e<sup>(-1-j2)t</sup> |
C. | 1- 1/2 e<sup>(-1+j2)t</sup>-1/2 e<sup>(-1-j2)t</sup> |
D. | 1- 1/2 e<sup>(-1+j2)t</sup>+1/2 e<sup>(-1-j2)t</sup> |
Answer» D. 1- 1/2 e<sup>(-1+j2)t</sup>+1/2 e<sup>(-1-j2)t</sup> | |
3. |
For the function F (s) = (s+5)/s(s2+2s+5), after splitting this function into the partial fractions. What is the expression of F (s) after splitting into partial fractions is? |
A. | 1/s-1/2(s+1-j2) -1/2(s+1+j2) |
B. | 1/s+1/2(s+1-j2) -1/2(s+1+j2) |
C. | 1/s+1/2(s+1-j2) +1/2(s+1+j2) |
D. | 1/s-1/2(s+1-j2) +1/2(s+1+j2) |
Answer» B. 1/s+1/2(s+1-j2) -1/2(s+1+j2) | |
4. |
For the function F (s) = (s+5)/s(s2+2s+5), after splitting this function into the partial fractions, determine the co-efficient of 1/(s+1-j2)? |
A. | -1/4 |
B. | 1/4 |
C. | -1/2 |
D. | 1/2 |
Answer» D. 1/2 | |
5. |
For the function F (s) = (s+5)/s(s2+2s+5), after splitting this function into the partial fractions, the co-efficient of 1/(s+1-j2) is? |
A. | 1/2 |
B. | -1/2 |
C. | 1/4 |
D. | -1/4 |
Answer» C. 1/4 | |
6. |
For the function F (s) = (s+5)/s(s2+2s+5), after splitting this function into the partial fractions, 1/s co-efficient is? |
A. | 1 |
B. | 2 |
C. | 3 |
D. | 4 |
Answer» B. 2 | |
7. |
For the function F (s) = (s2+s+1)/s(s+5)(s+3), after splitting this function into partial fractions. Find the partial fraction expansion of the function. |
A. | 1/15s-2.1/(s+5)+1.17/(s+3) |
B. | 1/15s-2.1/(s+5)-1.17/(s+3) |
C. | 1/15s+2.1/(s+5)+1.17/(s+3) |
D. | 1/15s+2.1/(s+5)-1.17/(s+3) |
Answer» E. | |
8. |
For the function F (s) = (s2+s+1)/s(s+5)(s+3), after splitting this function into partial fractions, co-efficient of 1/(s+3) is? |
A. | -1.17 |
B. | 1.17 |
C. | -2.27 |
D. | 2.27 |
Answer» B. 1.17 | |
9. |
For the function F (s) = (s2+s+1)/s(s+5)(s+3), after splitting this function into partial fractions, the co-efficient of 1/(s+5) is? |
A. | 1.1 |
B. | 2.1 |
C. | 3.1 |
D. | 4.1 |
Answer» C. 3.1 | |