# EC203

## Network Analysis and synthesis

Pre-Requisite: None
Contact Hours and Credits: ( 3 -0- 0 ) 3

### Objectives:

• To make the students capable of analyzing any given electrical network.
• To make the students learn how to synthesize an electrical network from a given impedance/admittance function.

### Topics Covered:

Network concept. Elements and sources. Kirchoff’s laws. Tellegen’s theorem. Network equilibrium equations. Node and Mesh method. Source superposition. Thevenin’s and Norton’s theorems. Network graphs.

First and second order networks. State equations. Transient response. Network functions.  Determination of the natural frequencies and mode vectors from network functions.

Sinusoidal steady-state analysis. Maximum power-transfer theorem. Resonance. Equivalent and dual networks. Design of equalizers.

Two-port network parameters. Interconnection of two port networks. Barlett’s bisection theorem. Image and Iterative parameters. Design of attenuators.

Two-terminal network synthesis. Properties of Hurwitz polynomial and Positive real function. Synthesis of LC, RC and RL Networks, Foster Forms and Cauer Forms.

### Course Outcomes:

Students are able to

• CO1: apply the knowledge of basic circuital law and simplify the network using reduction techniques
• CO2: Analyze the circuit using  Kirchhoff’s law and  Network simplification theorems
• CO3: Infer  and evaluate transient response, Steady state response, network functions
• CO4: Obtain the  maximum power transfer to the load , and  Analyze the series resonant  and parallel resonant  circuit
• CO5: evaluate two-port network parameters , design attenuators and equalizers
• CO6: Synthesize one port network using Foster and Cauer Forms.

### Text Book:

• Hayt W. H., Kemmerly J. E. and Durbin S. M., “Engineering Circuit Analysis”, 6th Ed., Tata McGraw-Hill Publishing Company Ltd.,2008.

### Reference Book:

• Valkenberg V., “Network Analysis”, 3rd Ed., Prentice Hall International Edition., 2007.
• Valkenberg V., “Network Synthesis.
• Kuo F. F., “Network Analysis and Synthesis”, 2nd Ed., Wiley India., 2008.