Module 0: Introduction
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Module 1:
Introduction to basic parameters and laws necessary for analysis of resistive circuits. The exhaustive approach to analysis of resistive networks is introduced.
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Module 2:
Analysis of resistive circuits using circuit reduction methods. This approach generally consists of reducing the circuit of interest to an equivalent
circuit with a single unknown parameter. Effects of non-ideal power sources, voltmeters and ammeters are presented in the context of this technique.
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Module 3:
Nodal and mesh analysis methods. Nodal and mesh analysis approaches are more general than circuit reduction methods, but less
labor intensive than the exhaustive method presented in Module 1.
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Module 4:
Representation of electrical circuits as systems. Linearity and superposition are presented in the context of systems' input-output relations. These results are used to develop Thevenin's and Norton's Theorems.
Operational amplifiers (op-amps) are introduced and some simple op-amp based circuits are analyzed.
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Module 5:
Additional operational amplifier-based circuits and their representation as dependent sources. Time-varying signals are presented and
dynamic systems are introduced in the context of energy storage. Capacitors are presented as one basic electrical energy storage element.
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Module 6:
Inductors are presented as a second type of electrical energy storage element.
Differential equations governing first order electrical circuits are derived and the natural and step responses of first order circuits determined.
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Module 7:
The forced response of first order systems is revisited and the concepts of DC gain and bias points are briefly discussed. Second order circuits
are introduced and their natural response determined. The mathematics of sinusoidal signals and complex exponentials is reviewed and the results are used to
interpret the second order circuit response.
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Module 8:
Classification of second order systems by damping ratio, and a qualitative interpretation of the natural response is presented in terms of damping ratio
and natural frequency. Second order system step response is determined and estimation of the step response of under-damped systems from the governing equation is discussed.
This module concludes with a brief presentation of higher-order systems, state variable models, and numerical simulation of circuit responses.
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Module 9:
Introduction to steady-state sinusoidal responses and phasor analysis of electrical circuits. Complex arithmetic is reviewed.
The impedance method for AC analysis of electrical circuits is presented.
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Module 10:
Frequency response of electrical circuits. Magnitude and phase responses of first and second order systems are determined.
Relationships between time-domain and frequency-domain system responses of first and second order systems are provided.
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Module 11:
Sinusoidal steady-state power analysis and complex power.
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