Course Description

ENSC 320 is a second course on electric circuits and is intended to both enhance the knowledge of students with regard to electric circuits and develop skills in analysis. Although the focus is electric circuits, the theory and skills learned are useful in other areas as well. For example, the ability to analyze electric circuits gives one the ability to analyze certain acoustics problems because of the duality between voltage (acoustic pressure), current (particle velocity) and impedance (acoustic impedance).

Calendar Description:

This course covers the following topics: the use of Laplace transform in circuit analysis, including poles and zeros, the frequency response and impulse response; convolution as a method for computing circuit responses; resonant and bandpass circuits; magnetically coupled circuits; three-phase circuits; two-port circuits; and filtering.

Topics

This skeleton outline is the core that is expected to be covered by the instructor in the actual course offering. Note that the order and emphasis may differ (within reasonable limits) from one offering to another.

• Laplace Transforms (Laplace transforms will be used throughout the course)
  • Introduction. Example transforms. Initial-value and final-value theorems. Partial-fraction expansions. Circuits in the s-domain
• AC Power
  • Power in time domain. Power in sinusoidal steady state. Average or real power. Reactive power. Summary of AC power in R, L, and C. Exchange of energy between an inductor and a capcitor. Complex power, apparent power, and power triangle. Parallel-connected networks. Power factor improvement. Maximum power transfer.
• Polyphase Circuits
  • Introduction. Two-phase systems. Three-phase systems. Wye and Delta systems. Phasor voltages. Balanced Delta-connected loads. Balanced four-wire, Wye-connected loads. Equivalent Wye and Delta-connections. Single-line equivalent circuit for balanced three-phase loads. Unbalanced Delta-connected load. Unbalanced Wye-connected load. Three phase power. Power Measurement.
• Frequency Response, Filters, and Resonance
  • Frequency response. High-pass and low-pass networks. Half-power frequencies. Generalized two-port, two element networks. The frequency response and network functions. Frequency response from pole-zero locations and Bode plots. Ideal and practical filters. Passive and active filters. Bandpass filters and resonance. Natural frequency and damping ratio. RLC series circuit; series resonance. Quality factor. RLC parallel circuit; parallel resonance. Practical LC parallel circuit. Series-parallel conversions. Locus diagrams.
• Two-Port Networks
  • Terminals and ports, z-parameters. t-equivalent of reciprocal networks. y-parameters. Pi- equivalent of reciprocal networks. Applications of terminal characteristics. Conversion between z and y parameters. h and g parameters. Transmission parameters. Interconnecting two-port networks. Choice of parameter type.
• Mutual Inductance and Transformers
  • Mutual inductance. Coupling coefficient. Analysis of coupled coils. Dot rule. Energy in a pair of coupled coils. Conductively coupled equivalent circuits. Linear transformer. Ideal transformer. Autotransformer. Reflected impedance.

PSPICE and MATLAB

Reference Books

Some books that have been used in past offerings of this course are:

• Schaum's Outline on Electric Circuits by Joseph Edminister and Mahmood Nahvi. McGraw-Hill, 1997. Third Edition. ISBN 0-07-018999-4.
  
• Linear Circuit Analysis - A TIme Domain and Phasor Approach by R. DeCarlo and P.-M. Lin. Prentice Hall. 1995.
• Introduction to Electric Circuits by R.C. Dorf and J.A. Svoboda. John Wiley & Sons. 1999. 4th edition. ISBN 0-471-19246-5.
  
• Electric Circuits by N. Balabanian. McGraw-Hill, 1994. ISBN 0-07-004804-5.
  
• Basic Engineering Circuit Analysis J.D. Irwin and C. Wu. Prentice-Hall, 1999. ISBN 0-13-792714-2.