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Wsheet2 093207

This document contains 13 questions related to network analysis and synthesis. It asks the student to define stability, find transfer functions and differential equations for systems, check if functions are Hurwitz or positive real, realize functions as Foster and Cauer forms, synthesize impedance and admittance functions as RLC networks, and design a high pass filter. The questions cover topics like stability, poles and zeros, positive realness, Foster and Cauer realizations, and filter design.

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Iid Maxamed Yøûßûf
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78 views2 pages

Wsheet2 093207

This document contains 13 questions related to network analysis and synthesis. It asks the student to define stability, find transfer functions and differential equations for systems, check if functions are Hurwitz or positive real, realize functions as Foster and Cauer forms, synthesize impedance and admittance functions as RLC networks, and design a high pass filter. The questions cover topics like stability, poles and zeros, positive realness, Foster and Cauer realizations, and filter design.

Uploaded by

Iid Maxamed Yøûßûf
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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Network Analysis & Synthesis – worksheet II

1. Define stability of the system and describe also the relationship between impulse
response and stability
2. A second-order system has a pair of complex conjugate poles at a single
zero at the origin of the s-plane and a gain factor K = 3. Find the transfer function and
differential equation representing the system and evaluate stability of the system.(Assign)
3. Check the following functions are Hurwitz or not
a) ( ) d) ( )
b) ( )
c) ( )
4. Find the range of values in ( ), so that ( ) is Hurwitz.
5. Check whether the following functions are positive real or not
a) ( )

b) ( )

6. Check the following functions are whether DP functions of LC network or not. Also realize as
Foster I, Foster II Cauer I and Cauer II form.
( )( )
a) ( )
( )( )
( )( )
b) ( )
( )
( )( )
c) ( )
( )( )( )
( )( )
d) ( )
( )( )

7. Synthesize the DP impedance ( ) in the form shown in Figure 1, i.e, determine


the element values of the network in Henerys and farads.(Assign)

Figure 1
8. Of the three poles – zero diagrams shown, pick the diagram that represents an R – L impedance
function and synthesis in a series Foster form.

By: Wondatir Teka Page 1


( )
9. For the network shown, find Y then synthesis Y as an L – C
admittance.

10. The input impedance for the network shown is


Zin = if Z0 is an L-C network: (a) find the expression for Z0. (b)
Synthesize Z0 in a Foster series form.(Assign)

( )( )
11.Synthesize Z(s) =( )( )
(Assign)

12. Synthesize the impedance function Z(s) = as R-L-C network representation.(Assign)

13. Design high pass filter with for input voltage the output
voltage,

By: Wondatir Teka Page 2

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