B.Tech I Year I Semester (R22)
Mathematics
After learning the contents of this paper the student must be able to
PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 To gain knowledge in 3 3 3 3 3 3 1 1 2 2 1 3 circuits and to understand the fundamentals of derived circuit laws. To learn steady state 3 2 3 2 3 3 2 2 2 3 2 3 and transient analysis of single and three phase circuits. To understand 3 2 3 1 3 3 1 1 2 2 2 3 Theorems and concepts of coupled circuits.
PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 Understand network 3 3 3 3 3 3 3 1 2 1 1 2 analysis, techniques using mesh and node analysis. Evaluate steady state 3 3 3 3 3 3 3 3 3 3 2 3 and transient behaviour of circuits for DC and AC excitations. Analyse electric 3 2 2 2 3 3 3 2 1 3 3 2 circuits using network theorems and concepts of coupled circuits.
Network Elements & Laws: Active elements, Independent and dependent sources. Passive elements — R, L and C, Energy stored in inductance and capacitance, Kirchhoff’s laws, Source transformations, Star-delta transformations, Node voltage method, Mesh current method including super node and super mesh analysis.
Single-Phase Circuits: RMS and average values of periodic sinusoidal and non- sinusoidal waveforms, Phasor representation, Steady-state response of series, parallel and series-parallel circuits. Impedance, Admittance, Current locus diagrams of RL and RC series and parallel circuits with variation of various parameters. Resonance: Series and parallel circuits, Bandwidth and Q-factor.
Network theorems: Superposition theorem, Thevinin’s theorem, Norton’s theorems, Maximum power
transfer theorem, Tellegen’s theorem, Compensation theorem, Milliman’s theorem and Reciprocity theorem. (AC & DC).
Poly-phase Circuits: Analysis of balanced and unbalanced 3-phase circuits, Star and delta connections, Measurement of three-phase power for balanced and unbalanced loads.
Coupled circuits: Concept of self and mutual inductance, Dot convention, Coefficientof coupling, Analysis of circuits with mutual inductance. Topological Description of Networks: Graph, tree, chord, cut-set, incident matrix, circuit matrix and cut-set matrix,
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