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Transients: DC and AC analysis of RL, RC and RLC series circuits. Resonance: Series and Parallel
resonance. Loop and node variable analysis, Waveform Synthesis-The Shifted Unit Step, Ramp and
Impulse Function, Waveform Synthesis, The Initial and Final Value Theorems, The Convolution
IMPEDANCE FUNCTIONS AND NETWORK THEOREMS: The Concept of Complex
Frequency, Transform Impedance and Transform Circuit, Series and parallel Combination of
Elements, Superposition and Reciprocity, Thevenin’s Theorem and Norton’s Theorem.
NETWORK FUNCTIONS: POLES AND ZEROS: Terminal Pairs and Ports, Network Function for
the One Port and Two Port, The Calculation of Network Function - (a) Ladder Network (b) General
Networks. Poles and Zero of Network Functions, Restrictions on Pole and Zero Locations for
Driving-Point Functions, Restrictions on Pole and Zero Locations for Transfer Functions, Timedomain
Behavior from the Pole and Zero Plot, Stability of Networks.
TWO-PORT PARAMENTERS: Relationship of Two-Port Variables, Short-Circuit Admittance
parameters, The Open-circuit Impedance Parameters, Transmission parameters, The Hybrid
parameters, Relationships Between parameter Sets, Parallel Connection of Two-Port Networks.
POSITIVE REAL FUNCTION: Driving-Point Functions, Brune’s Positive Real Functions, Properties
of Positive Real Functions. TESTING DRIVING-POINT FUNCTIONS: An application of the
Maximum Modulus Theorem, Properties of Hurwitz Polynomials, The Computation of Residues,
Even and Odd functions, Sturm’s Theorem, An alternative Test for Positive real functions.
DRIVING-POINT SYNTHESIS WITH LC ELEMENTS: Elementary Synthesis Operations, LC
Network Synthesis, RC and RL networks. Properties of RC Network Function, Foster Form of RC
Networks, Foster From of RL Networks, The Cauer Form of RC and RL Networks.RLC ONE
TERMINAL - PAIRS: Minimum Positive Real Functions, Brune’s Method of RLC Synthesis.
TWO TERMINAL-PAIR SYNTHESIS BY LADER DEVELOPMENT: Some properties of –y and z
The LC Ladder Development, Other Considerations, The RC Ladder Development.
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