# Network Synthesis & Readability MCQ

Network Synthesis and Readability MCQ, Objective Questions on Network Synthesis and Readability, GATE questions on Network Synthesis and Readability, Multiple Choice Questions on Network Synthesis and Readability, Network Analysis and Synthesis MCQ Quiz, Multiple Choice Questions on Network Analysis and Synthesis, Engineering MCQ

Network analysis deals with finding out the output response, using various techniques, when the excitation signal (input signal) and the network are known.

Network synthesis deals with the realisation of the network from the given excitation and output response.

### Multiple Choice Questions

Q.1. A network function is said to have simple pole or simple zero if

• The poles and zeros are on the real axis
• The poles and zeros are repetitive
• The poles and zeros are complex conjugate to each other
• The poles and zeros are not repeated.

Answer: The poles and zeros are not repeated.

Q.2. A function $H(s)=\frac{2s}{S^{2}+8}$ will have a zero at

• s = ± j4
• Anywhere on the s-plane
• On the imaginary axis
• On the origin

Q.3. The network shown in Figure below has zeros at

• s = 0 and s = ∞;
• s = 0 and $S=-\frac{R}{L}$;
• s = ∞ and $S=-\frac{R}{L}$;
• s = ∞ and $S=-\frac{1}{CR}$

Answer: s = ∞ and $S=-\frac{R}{L}$;

Q.4.Which of the following is a PRF

• $\frac{(s+1)(s+2)}{(s^{2}+1)^{2}}$
• $\frac{(s-1)(s+2)}{s^{2}+1}$
• $\frac{s^{4}+s^{2}+1}{(s+1)(s+2)(s+3)}$
• $\frac{s-1}{s^{2}-1}$

Answer: $\frac{s^{4}+s^{2}+1}{(s+1)(s+2)(s+3)}$

Q5. A network function can completely be specified by:

• Real parts of zeros
• Poles and zeros
• Real parts of poles
• Poles, zeros and a scale factor

Answer: Poles, zeros and a scale factor

Q.6. In the complex frequency s = σ + jω, while ω has the unit of rad/s and σ has the unit of

• Hz
• Neper/s

Q.7. Which of the following property relates to L-C impedance or admittance functions:

• The poles and zeros are simple and lie on the jω-axis
• There must be either a zero or a pole at origin and infinity.
• The highest (or lowest) powers of numerator or denominator differ by unity.
• All of the above.

Q.8. If a network function has zeros only in the left-half of the s-plane, then it is said to be

• A stable function
• A non-minimum phase function
• A minimum phase function
• An all-pass function.

Q.9. Zeroes in the right half of the s-plane are possible only for

• d.p impedance function.
• d.p impedance as well as admittance functions.
• transfer functions.

Q.10. An L-C impedance or admittance function:

• has simple poles and zeros in the left half of the s-plane.
• has no zero or pole at the origin or infinity.
• is an odd rational function.
• has all poles on the negative real axis of the s-plane.

Answer: has simple poles and zeros in the left half of the s-plane.

Q.11. The Laplace-transformed equivalent of a given network will have 5/8 F capacitor replaced by

• $\frac{5}{8s}$
• $\frac{5s}{8}$
• $\frac{8s}{5}$
• $\frac{8}{5}$

Answer: $\frac{8}{5}$

Q.12. If a network function contains only poles whose real-parts are zero or negative, the network is

• always stable.
• stable, if the jω-axis poles are simple.
• stable, if the jω-axis poles are at most of multiplicity 2.
• always unstable.

Answer: stable, if the jω-axis poles are simple.

Q.13. Which of the following kind of network has the same admittance and impedance properties?

• L-C type
• R-L type
• R-C type
• R-L-C type

Q.14. Both odd and even parts of a Hurwitz polynomial P(s) have roots

• in the right-half of s-plane
• in the left-half of s-plane
• on the o-axis only
• on the jω-axis only

Q.15. The impedance of a network is given as $Z(s)=\frac{s(s+2)}{(s+3)(s+4)}$. The function is

• not a PRF
• R-L network
• R-C network
• L-C network

Q.16. If F1(s) and F2(s) are positive real, then which of the following are positive real?

• $\frac{1}{F_{1}(s)} and \frac{1}{F_{2}(s)}$
• $F_{1}(s) + F_{2}(s)$
• $\frac{F_{1}(s) F_{2}(s)}{F_{1}(s) + F_{2}(s)}$
• All of these.

Q.17. Which of these is not a positive real Function?

• $F(s)=Ls$
• $F(s)=R$
• $F(s)=\frac{k}{s}$
• $F(s)=\frac{s+1}{s^{2}+2}$

Answer: $F(s)=\frac{s+1}{s^{2}+2}$

Q.18. A stable system must have

• zero or negative real part for poles and zeros.
• at least one pole or zero lying in the right-half s-plane
• positive real part for any pole or zero
• negative real part for all poles and zeros.

Answer: zero or negative real part for poles and zeros.

Objective Questions on Laplace Transform