This course enables students to master analysis of physical circuits through the use of Kirchhoff’s laws and ideal circuit element models. Strong emphasis is placed on the formulation of nodal equations for linear resistive circuits as a foundation, but generalizations necessary for handling nonlinear elements are also highlighted. Consequences of linearity are emphasized through superposition and Thevenin/Norton equivalents. Transient analysis of second order circuits with unit step inputs and switched dc sources is emphasized to promote understanding of time-domain linear circuit response. For linear circuits excited with sinusoidal sources, phasor and frequency domain analysis techniques for determining steady state response are emphasized. Application of complex power calculations is also highlighted. The overall course objectives are the following:

1. Review the concepts of electrical phenomenon such as charge, current, voltage, resistance, energy, power and their relationships


CLO-1: Describe and illustrate basic circuit concepts, network laws and theorems used to analyze linear circuits. (C2)
CLO-2: Apply the acquired knowledge to compute linear circuit parameters. (C3)
CLO-3: Analyze the circuits with resistive and energy storing elements and determine their response to transition. (C4)


1. Analysis of DC circuits – Three Lectures

  • Series and parallel resistors combinations Circuits and examples
  • Ohm’s Law
  • Kirchhoff’s Laws
    • Nodal Analysis with examples
    • Loop analysis with examples
  • Thevenin’s and Norton’s Theorems and examples
  • Superposition theorem and examples

2. AC analysis of single phase circuits using jω notation – Three Lectures

  • Introduction to Sinusoids
  • Impedance and Admittance of RLC circuit elements
  • Ac circuits analysis using Kirchhoff’s Laws with examples

3. Power Calculations in AC circuits using jω notation – Three Lectures

  • Complex power (Apparent, active and reactive power)
  • Power factor

4. AC analysis of three-phase circuits using jω notation – Three Lectures

  • Three-phase Star/Y connected circuits with examples
  • Three-phase Delta/Δ connected circuits with examples
  • Power measurement in three phase systems

5. Magnetic Circuits – Four Lectures

  • Relation of Magneto motive force, Flux and Reluctance of a Magnetic Circuit.
    • Analysis of Magnetic circuits with air gap
    • Energy loss in Ferromagnetic Core
  • Faraday’s Law-Induced voltage from a time changing magnetic field
    • Induced voltage on a conductor moving in a magnetic field

6. Transformers – Four Lectures

  • Importance of transformers
    • Type and construction of single phase transformers
    • Ideal transformers
  • Transformation of Impedance through a transformer.
    • Circuit analysis of an ideal transformer
    • Dot convention of a transformer
    • Construction of three phase transformer

7. AC machinery fundamentals – Three Lectures

  • Synchronous generators and motors
    • Construction of Synchronous generators
    • Speed of rotation of synchronous generator
  • The equivalent circuit of synchronous generators
    • Equivalent circuit of synchronous Motors
    • The effect of field current change on synchronous motors

8. Induction motors – Three Lectures

  • Induction motor Construction.
    • Basic Induction motor concepts – concept of rotor slip,
    • The electrical frequency on the rotor
  • The equivalent circuit of induction motor

9. DC machinery Fundamentals – Three Lectures

  • Construction of DC machines,
  • The equivalent circuit of a DC motor
  • Separately excited and Shunt Dc motors,
  • Permanent magnet DC motors,
  • Series DC motors,
  • Compound DC motors,
  • Speed control of DC motors, motors and Generators
  • Separately excited DC generators
  • The Shunt DC generator
  • Series DC generators
  • Compound Dc generators

10. Single phase and Special purpose motors – Three Lectures

  • Induction motors
  • Servo motors,
  • Brushless motors
  • Stepper motors