Circuit Theory

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Objective:

‘Circuit Theory’ course deals with basic electrical components, laws, methods that can be used to construct and analyse electrical networks.

Course outcomes

At the end of this course, students will be able to

Explain the working principle of basic electrical components such as resistors, inductors, capacitors, etc.,

Use basic electrical laws such as Ohm's law, Kirchoff's law, etc., in solving electrical problems.

Analyze the given electrical circuit using basic electrical laws.

Analyze the given electrical circuit both in time domain and frequency domain.

Explain the difference between resistance, reactance and impedance.

Apply graph theory in analyzing electrical networks.

Topics Covered!!!

Basics
Charge, Current, Voltage and Power, Voltage and Current Sources, Ohms Law, Kirchoff‘s Current Law, Kirchoff‘s voltage law, The single Node – Pair Circuit, series and Parallel Connected Independent Sources, Resistors in Series and Parallel, voltage and current division, Nodal analysis, Mesh analysis.

Network Theorems
Useful Circuit Analysis techniques – Linearity and superposition, Thevenin and Norton Equivalent Circuits, Maximum Power Transfer, Delta-Wye Conversion. Duals, Dual circuits. Analysis using dependent current sources and voltage sources.

Sinusoidal Steady state Analysis
Sinusoidal Steady – State analysis , Characteristics of Sinusoids, The Complex Forcing Function, The Phasor, Phasor relationship for R, L, and C, impedance and Admittance, Nodal and Mesh Analysis, Phasor Diagrams, AC Circuit Power Analysis, Instantaneous Power, Average Power, apparent Power and Power Factor, Complex Power

Transients and Resonance
Basic RL and RC Circuits, The Source- Free RL Circuit, The Source-Free RC Circuit, The Unit-Step Function, Driven RL Circuits, Driven RC Circuits, RLC Circuits, Frequency Response, Parallel Resonance, Series Resonance, Quality Factor.

Coupled Circuits and Topology
Magnetically Coupled Circuits, mutual Inductance, the Linear Transformer, the Ideal Transformer, An introduction to Network Topology, Trees and General Nodal analysis, Links and Loop analysis.