Impedance and Admittance Functions: The concept of complex frequency, transform
impedance and admittance, series and parallel combinations.
Network Functions: Terminals and terminal pairs, driving point impedance transfer functions,
poles and zeros. Restrictions on pole and zero location in s-plane. Time domain behavior from
pole and zero plot. Procedure for finding network functions for general two terminal pair
networks.
Units: II-Network Synthesis:
Hurwitz polynomial, positive real functions, reactive networks.
Separation property for reactive networks. The four-reactance function forms, specification for
reactance function. Foster form of reactance networks. Cauer form of reactance networks.
Synthesis of R-L and R-C networks in Foster and Cauer forms.
Units: III-Two Port General Networks:
Two port parameters (impedance, admittance, hybrid, ABCD
parameters) and their inter relations. Equivalence of two ports. Transformer equivalent, inter
connection of two port networks. The ladder network, image impedance, image transfer
function, application to L-C network, attenuation and phase shift in symmetrical T and pi
networks.
Units: IV-Two Port Reactive Network (Filters):
Constant K filters. The m-derived filter. Image
impedance of m-derived half (or L) sections, composite filters. Band pass and band
elimination filters. The problem of termination, lattice filters, Barlett’s bisection theorem.
Introduction to active filters.
Units: V-Coupled Circuits:
Conductively coupled circuits. Mutual impedance, magnetic coupling,
mutual inductance, co-efficient of magnetic coupling, circuit directions and sign of mutual
inductance, mutual inductance between portions of the same circuit, mutual inductance
between parallel branches, transferred impedance. Transformer equivalent inductively and
conductively coupled circuits; Resonance in Single tuned and Double tuned circuits, effect of
coefficient of coupling.