Units: 4 (3 Lecture/1 Discussion)
Prerequisites: MAT21C
Catalog Description: Basic electric circuit analysis techniques, including electrical quantities and elements, resistive circuits, transient and steady-state responses of RLC circuits, sinusoidal excitation and phasors, and complex frequency and network functions. GE Credit: VL, SE
ABET Student Outcomes: Students who have completed this course should have achieved: Student Outcome 1: an ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics.
Expanded Course Description:
I. Foundations of Electric Circuits and Circuit Elements
A. Concepts of charge, current, voltage, power, and energy
B. Reference directions and circuit connections
C. Active and passive circuit elements
D. Resistors and Ohm’s Law
E. Independent sources
F. Dependent sources
G. The Ideal Operational Amplifier
H. Kirchoff’s voltage law
I. Kirchoff’s current law
II. Resistive Circuit Analysis
A. Series and parallel circuits
B. Node-voltage analysis
C. Mesh-current analysis
III. Circuit Theorems
A. Source transformation
B. Superposition
C. Thevenin and Norton equivalent circuits
D. Maximum Power transfer
IV. Energy Storage Elements
A. Capacitors and energy stored in a capacitor
B. Inductors and energy stored in an inductor
C. Series-parallel connections of inductors and capacitors
V. Response of RC and RL Circuits
A. First order circuits
B. Step response of first order circuits to a non-constant source
C. Transient versus steady-state analysis
VI. Response of Circuits with Two Energy Storage Elements
A. Second order circuits
B. Natural response and types of second order natural response
C. Forced response
D. Complete response
VII. Sinusoidal Steady-State Circuit Analysis
A. Sinusoidal inputs and sinusoidal steady-state responses
B. Phasors and complex numbers
C. Impedance and admittance
D. Kirchhoff’s laws
E. Node-voltage and mesh-current analysis methods using phasors
F. Superposition
G. Source transformations
H. Thevenin and Norton equivalent circuits
I. Complete response with sinusoidal sources
J. The ideal transformer
VIII. AC Steady-State Power
A. Instantaneous power
B. Average power
C. Maximum power transfer
D. Power factor