Circuits Elements, Independent and dependent sources, Signals and Waveforms; Periodic and Singularity voltages, Step, Ramp, Impulse, Doublet. Loop currents and Loop equations, Node voltage and Node equations, Network Theorems, Superposition, Thevenin's, Norton's Maximum Power Transfer, Reciprocity.
Time and Frequency Domain Analysis
Representation of basic circuits in terms of generalized frequency and their response, Laplace transform of shifted functions, Transient & Steady response. Time domain behaviour from poles and zeros, Convolution theorem.
Network functions, Impedance and Admittance function, Transfer functions, Relationship between transfer and impulse response, Poles and zeros and restrictions, Network function for two terminal pair network. Sinusoidal network in terms of poles & zeros. Realiability condition for impedance synthesis of RL and RC circuits. Network synthesis techniques for 2-terminal network, Foster and Cauer forms.
Classification of filters, Characteristic impedance and Propagation constant of pure reactive network, Ladder network, T section, section, Terminating half section. Pass bands and Stop bands. Design of constant-K, m-derived filters, Composite filters.