Explore topic-wise MCQs in Network Theory.

This section includes 7 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.

Let us assume x (t) = A cos( t + ), What is the final steady state solution for y (t)?

A. A|H(j )|cos u2061[ t+ + ( )]
B. A|H(j )|cos u2061[ t- + ( )]
C. A|H(j )|cos u2061[ t- - ( )]
D. A|H(j )|cos u2061[ t+ - ( )]
Answer» B. A|H(j )|cos u2061[ t- + ( )]
Discussion
2.

Let us assume x (t) = A cos( t + ), what is the value of k1 by considering ( ) is?

A. |H(j )|e<sup>j[ ( )+ ]</sup>
B. A/2|H(j )|e<sup>j[ ( )+ ]</sup>
C. |H(j )|e<sup>-j[ ( )+ ]</sup>
D. A/2 |H(j )|e<sup>-j[ ( )+ ]</sup>
Answer» C. |H(j )|e<sup>-j[ ( )+ ]</sup>
Discussion
3.

The relation between H (j ) and ( ) is?

A. H(j )=e<sup>-j ( )</sup>
B. H(j )=|H(j )|e<sup>-j ( )</sup>
C. H(j )=|H(j )|e<sup>j ( )</sup>
D. H(j )=e<sup>j ( )</sup>
Answer» D. H(j )=e<sup>j ( )</sup>
Discussion
4.

Let us assume x (t) = A cos( t + ), what is the value of k1?

A. 1/2 H(j )Ae<sup>j </sup>
B. H(j )Ae<sup>-j </sup>
C. H(j )Ae<sup>j </sup>
D. 1/2 H(j )Ae<sup>-j </sup>
Answer» E.
Discussion
5.

Let us assume x (t) = A cos( t + ), on taking the partial fractions for the response we get?

A. Y(s)=k<sub>1</sub>/(s-j )+(k<sub>1</sub><sup> </sup>)/(s+j )+ terms generated by the poles of H(s)
B. Y(s)=k<sub>1</sub>/(s+j )+(k<sub>1</sub><sup> </sup>)/(s+j )+ terms generated by the poles of H(s)
C. Y(s)=k<sub>1</sub>/(s+j )+(k<sub>1</sub><sup> </sup>)/(s-j )+ terms generated by the poles of H(s)
D. Y(s)=k<sub>1</sub>/(s-j )+(k<sub>1</sub><sup> </sup>)/(s-j )+ terms generated by the poles of H(s)
Answer» B. Y(s)=k<sub>1</sub>/(s+j )+(k<sub>1</sub><sup> </sup>)/(s+j )+ terms generated by the poles of H(s)
Discussion
6.

Let us assume x (t) = A cos( t + ), what is the s-domain expression?

A. Y(s)=H(s) A(Scos - sin )/(S<sup>2</sup>- <sup>2</sup>)
B. Y(s)=H(s) A(Scos + sin )/(S<sup>2</sup>+ <sup>2</sup>)
C. Y(s)=H(s) A(Scos - sin )/(S<sup>2</sup>+ <sup>2</sup>)
D. Y(s)=H(s) A(Scos + sin )/(S<sup>2</sup>- <sup>2</sup>)
Answer» D. Y(s)=H(s) A(Scos + sin )/(S<sup>2</sup>- <sup>2</sup>)
Discussion
7.

Let us assume x (t) = A cos( t + ), then the Laplace transform of x (t) is?

A. X(S)=A(Scos - sin )/(S<sup>2</sup>- <sup>2</sup>)
B. X(S)=A(Scos + sin )/(S<sup>2</sup>+ <sup>2</sup>)
C. X(S)=A(Scos + sin )/(S<sup>2</sup>- <sup>2</sup>)
D. X(S)=A(Scos - sin )/(S<sup>2</sup>+ <sup>2</sup>)
Answer» E.
Discussion