Syllabus - Circuits Analysis and Synthesis (EI305)

Basics of electrical Networks

Network elements: E.M.F., Potential and Potential difference, Current and Current density, Ideal and practical Voltage and Current Source and their characteristics, source transformations, Various network elements and their behavior, Power and energy relations, Kirchhoff’s laws, Current and voltage division, Nodal and Mesh analysis, Graph theory, Incidence and Reduced incidence matrix, isomorphic graph, Tie-set and Cut-set matrix.

Network Theorems & Filter circuits

Superposition, Reciprocity, Thévenin’s, Norton’s and Maximum power transfer, Compensation, Tellenge’s. ∆-Y transformation, Polyphase analysis, Power relation in AC Circuits, Power factor, Apparent and reactive power, Power triangle, Sinusoidal steady state analysis of RLC circuits, Passive filters, High pass and Low pass, Band pass & Band stop filter, Prototype & m-derived filters, Fundaments of active filters.

Analysis of Coupled Circuits & Resonance

Magnetic coupling, Study of ideal transformer, Time domain, natural response and forced response, Dot convention, electrical equivalent of magnetically coupled circuits, single and double tuned coupled circuits, Resonance: Series and parallel resonance, bandwidth &selectivity, Q-factor, Effect of resistance on frequency response curve, Parallel resonance of RLC circuit.

Two port network analysis & Network Functions

Various network parameters: Z, Y, Hybrid, ABCD & their relationships condition of reciprocity and symmetry, Input and output impedances, Equivalent Т and П sections representation in parameter form, Ladder network, Network Function, Driving point and transfer impedances, Interpretation of poles and zeros, effect of their location in complex plane. Routh-Hurwitz Criterion of stability.

Time Domain Analysis of Circuits and Concept of Network Synthesis

Transient and steady state response of electrical circuits, Initial conditions & final condition, step and impulse response, Network Synthesis: Hurwitz polynomial, Positive Real (PR) function, Properties of LC, RC, RL immittances, Foster realization of LC circuits, Ladder development and Cauer forms, Significance of elements in Foster & Cauer forms, Determination of end elements, Applicability of Foster and Cauer forms.