# ECE 20100 - Linear Circuit Analysis I

## Course Details

Lecture Hours: 3 Credits: 3

• EE Core
• CMPE Core

### Normally Offered:

Each Fall, Spring, Summer

### Requisites:

Prerequisites: (ENGR 13100 or ENGR 14100 or ENGR 13300) and (PHYS 17200 or PHYS 15200) and (MA 16600 Minimum Grade of C- or MA 16200 Minimum Grade of C-) and (MA 26100 [may be taken concurrently] or MA 17400 [may be taken concurrently] or MA 18200 [may be taken concurrently] or MA 27101 [may be taken concurrently])

### Requisites by Topic:

Prerequisites: Two semesters of calculus; complex numbers; computer literacy and experience with MatLab or equivalent; some familiarity with vectors and matrices. Concurrent Prerequisites: Third semester of calculus.

### Catalog Description:

Volt-ampere characteristics for circuit elements; independent and dependent sources; Kirchhoff's laws and circuit equations. Source transformation; Thevenin's and Norton's theorems; superposition, step response of 1st order (RC, RL) and 2nd order (RLC) circuits. Phasor analysis, impedance calculations, and computation of sinusoidal steady state responses. Instantaneous and average power, complex power, power factor correction, and maximum power transfer. Instantaneous and average power.

### Required Text(s):

1. Linear Circuit Analysis: Time Domain, Phasor, and Laplace Transform Approaches , 3rd Edition , R. DeCarlo and P. M. Lin , Kendall Hunt , 2009 , ISBN No. 9780757564994

### Recommended Text(s):

1. MatLab: Student Version , Current Edition , The MathWorks, Inc.

### Learning Outcomes:

A student who successfully fulfills the course requirements will have demonstrated:
1. An ability to analyze linear resistive circuits. [1]
2. An ability to analyze 1st order linear circuits with sources and/or passive elements. [1]
3. An ability to analyze 2nd order linear circuits with sources and/or passive elements. [1]

### Lecture Outline:

Lectures Topic
3 General circuit element, charge, current; Voltage, sources, power; Resistance, Ohm's Law, power reprise, nonideal sources.
3 Kirchhoff's Laws, single loop/node circuits; R combinations, v & i division; Dependent sources (reprise).
3 Nodal analysis; Mesh analysis.
3 Op-amp basics; Superposition and linearity; Source transformations.
3 Thevenin's and Norton's Theorems; Maximum power transfer, D/A converter (optional).
3 Inductance;Capacitance; L and C combinations, duality.
3 Intro 1st order circuits; Source free/zero-input response; Step response.
3 Linearity (reprise)/Response classification; Further examples: Instabilities/Waveform generation; RC Op-amp circuits.
3 Intro 2nd order circuits: LC undamped case; Source free case: real characteristic roots; Source free case: complex roots.
3 2nd order circuits with constant inputs; Further examples/Applications (instr. Option); Sinusoidal forcing function.
3 Complex forcing function; Phasors, Ohm's Phasor law for R, L, & C, KVL & KCL; Impedance/admittance of 2-terminal devices.
3 Sinusoidal steady-state (SSS) analysis; Phasor diagrams; Frequency response.
3 Instantaneous and average power; Effective value; Complex power, conservation of power.
3 Power factor improvement; Maximum power transfer; Polyphase circuits.
3 Three exams for 1 week of testing over the semester.

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