UMass ECE Department

ECE 211 Circuit Analysis I

Fall 2001

NTU Course BE 312A

 

ECE 211 Home

Course Objectives

Lecture Schedule

Exam Schedule

Homework Assignments and Solutions

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Supplemental Notes and Examples

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About the Laboratory

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Fall 2001 Lecture Schedule

The class lecture notes can be downloaded as Adobe PDF files. You will need a password, to be provided by the Instructor to all registered students. You will also need Adobe Acrobat Reader installed on your machine. If you don't already have it, you can download it free by clicking on the Acrobat Reader link image below.


Date
Lecture Number
Text Sections
Lecture Topic
PDF Document

PDF Size

 
Thurs, Sep 6
1
1.1 - 1.5
Introduction to ECE 211; simple resistive circuits

Lecture 1 (Sect. 1)

Lecture 1 (Sect. 2)

312 KB

688 KB

Tue, Sep 11
2
1.6 - 1.7

Section 1: Resistors in series and parallel; voltage divider circuits; current divider circuits; VLSI chip "ELL" resistor; equiv. resistance of a cubic resistor network; simpler example of circuit with resistors in series, parallel

Section 2: Circuit element models; Ohm's Law; voltage drop across a resistor; resistivity of materials; conductors, insulators, semiconductors; series and parallel connections

Lecture 2 (Sect. 1)

 

 

Lecture 2 (Sect. 2)

624 KB

 

 

611 KB

Thur Sep 13
3
1.8 - 1.9

Section 1: Modeling physical systems; circuit models of electrical systems using sources, flow, control and storage; independent and dependent voltage and current sources; volt-amp characteristic of circuit elements; power dissipated in a resistor; I-V characteristic of a battery; information processing for analog and digital signals

Section 2: Resistors in series and parallel; power dissipated in a circuit element; circuit models with sources, sinks, flow, control and storage; independent and dependent sources;volt-amp chararacteristics (graphs) of resistors and other elements;

Lecture 3 (Sect. 1)

 

 

 

Lecture 3 (Sect. 2)

566 KB

 

 

 

423 KB

Tue Sep 18
4
2.1 - 2.2

Section 1: analysis of resistor networks using Kirchhoff's Voltage Law, Kirchhoff's Current Law; polarity of voltage across resistor; definitions of nodes, branches and loops; systematic method of circuit analysis; Fundamental Theorem of Network Topology

Section 2: definitions of branch, node, loop, independent loop; Kirchhoff's Current Law; Kirchhoff's Voltage Law, voltage division, current division; example; systematic method of circuit analysis; Fundamental Theorem of Network Topology

Lecture 4 (Sect. 1)

 

 

Lecture 4 (Sect. 2)

642 KB

 

 

426 KB

Thur Sep 20
5
2.3 - 2.8

Section 1: voltage, current, power defined; conservation of power; conductance;Cramer's Rule

Section 2: systematic method of resistive ckt analysis; node voltages; ground reference node; Conservation of Energy for resistive circuits; conductances

Lecture 5 (Sect. 1)

 

Lecture 5 (Sect. 2)

508 KB

 

384 KB

Tue Sep 25
6
3.1 - 3.5

Section 1: network theorems; node and loop methods; superposition

Section 2: example of systematic analysis of resistive ckts; Cramer's Rule; nodal analysis; mesh analysis

Lecture 6 (Sect. 1)

 

Lecture 6 (Sect. 2)

548 KB

 

391 KB

Thur Sep 27
7
3.6

Section 1: source transformations; Thevenin's and Norton's Theorems

Section 2: superposition; source transformations; Thevenin's Equiv. example

Lecture 7 (Sect. 1)

Lecture 7 (Sect. 2)

653 KB

593 KB

Tue Oct 2
8
3.6

Section 1: Maximum Power Transfer; more examples of Thevenin's, Norton's, superposition

Section 2: Thevenin and Norton Equivalent Circuits and examples; summary of circuit analysis methods to date; Thevenin Equiv. for circuit with dependent source

Lecture 8 (Sect. 1)

 

Lecture 8 (Sect. 2)

615 KB

 

555 KB

Thur Oct 4
9
Section 1: Review for midterm exam, selected worked examples for previous topics Lecture 9 (Sect. 1) 127 KB
Tue Oct 9
No regular class
Tue Oct 9

6:30 - 8:30 p.m. Midterm Exam #1

Solution Midterm I 359 KB
Thur Oct 11
10
5.1 - 5.5

Sect. 1: Digital voltage levels and the static discipline; noise margins for digital devices; implementation of boolean functions using NAND, NOR logic gates

Suppl: PSPICE simulation of logic gates

Sect. 2: Digital quantization of analog signals; quantization rules; noisy quantized signals; quantization levels for 7400 TTL family; simple logic gates; PSPICE simulation of logic gates; implementation of logic functions using NAND, NOR gates

Lecture 10 (Sect. 1)

Lect10Suppl (Sct 1)

Lecture 10 (Sect. 2)

375 KB

93 KB

703 KB

Tue Oct 16
11
6.1 - 6.3

Sect.1: MOSFET devices and the switch (S) model; n-channel MOSFET physical structure; MOSFET switch implementation of logic gates

Sect. 2: MOSFET switch model; n-channel MOSFET physical structure; equivalent circuit of a MOSFET; switch implementation of logic gates

Lecture 11 (Sect. 1)

 

Lecture 11 (Sect. 2)

790 KB

 

418 KB

Thur Oct 18
12
6.4 - 6.7

Sect. 1: SR model of MOSFET; static analysis using SR model (inverter, and NAND); gate dimensions of logic gates; fan-out of logic gates; power consumption; input-output waveforms and propagation delays

Sect. 2: review of power dissipation in a resistor due to two sources; MOSFET implementation of Inverter and NAND gates; static analysis using SR model; static power consumption by gates

Lecture 12 (Sect. 1)

 

 

Lecture 12 (Sect. 2)

577 KB

 

 

564 KB

Tue Oct 23
13
6.8

Sect. 1: Active pullups; minimizing circuit size; power dissipation in active pullups; PMOS and NMOS compared; CMOS implementation of inverter, NAND, NOR gates

Sect. 2: MOSFET logic gates; noise margins; power consumption; gate size ratios for combinational logic implementation; active pullups;

Lecture 13 (Sect. 1)

 

 

Lecture 13 (Sect. 2)

481 KB

 

 

624 KB

Thur Oct 25
14
9.1 - 9.2

Sect.1 : Capacitors and capacitance defined; current and voltage for a capacitor; typical commercial capacitors; energy storage; series and parallel capacitors; gate-source capacitance of a MOSFET and SRC model

Sect. 2: Capacitors and capacitance defined; voltage-current relation for capacitors; examples of capacitor voltage, current for (a) sinusoidal time functions, and (b) step functions. energy storage; response of a simple switched R-C circuit; series and parallel capacitorst

Lecture 14 (Sect. 1)

 

 

Lecture 14 (Sect. 2)

591 KB

 

 

686 KB

Tue Oct 30
15
9.3 - 9.4

Sect.1: Inductors and inductance defined; current and voltage for an inductor; solenoidal and toroidal inductors; examples of voltage-current relation for inductors; energy storage in an inductor; series and parallel inductors; summary of energy storage in capacitors and inductors

Sect. 2: Effect of gate capacitance on MOSFET models (SRC); Inductors and inductance defined; current-voltage relation for an inductor; inductance of solenoidal and toroidal inductors; response of inductor current to step-function voltage; energy storage in inductors; series and parallel inductors

Lecture 15 (Sect. 1)

 

 

 

Lecture 15 (Sect. 2)

569 KB

 

 

 

651 KB

Thur Nov 1
16
10.1

Sect. 1: First-order transients in RC circuits; first-order differential equations, both homogeneous and inhomogeneous; examples

Sect. 2: First-order transients in RC circuits; first-order differential equations, homogeneous and inhomogeneous; examples

More on solving differential equations, relation to Math 245 topics

Lecture 16 (Sect. 1)

 

Lecture 16 (Sect. 2)

 

Suppl notes on inhomogeneous 1st-order ODEs

563 KB

 

630 KB

Tue Nov 6
17
10.1

Sect. 1: Response of RC circuit to a pulse; transient response of RL circuit; typical forcing signal waveforms; response of RC circuit to a ramp-up, ramp-down input

Sect. 2: Review for midterm exam II; inhomogeneous first-order differential equations; homogeneous and particular solutions; some important cases for forcing functions; switch-resistor-capacitor models of MOSFET gates

Lecture 17 (Sect. 1)

 

Lecture 17 (Sect. 2)

454 KB

 

570 KB

Thur Nov 8
18

Sect. 1: Review for midterm exam II; worked problem 12.18; another example based on problem 12.18; selected other HW solutions

Sect. 2: Example, transient response of RL circuit; time constant of circuit; Example, RL circuit with dependent voltage source, using KVL to set up differential equation

Lecture 18 (Sect. 1)

 

Lecture 18 (Sect. 2)

306 KB

 

540 KB

Tue Nov 13
No regular class
Tue Nov 13
6:30 - 8:30 p.m. Midterm Exam #2 Solution Midterm 2 482 KB
Thur Nov 15
19
10.2

Sect. 1: RC propagation delays in logic gates; charging, discharging delays for SRC models of MOSFETs; computing propagation delays; effect of interconnect resistance, capacitance on propagation delays; clock signal fanout and propagation delays

Sect. 2: S-R models of circuits with two or more inverters; S-R-C model of a series connection of two inverters; computing propagation delays; rise and fall times for clock signals

Lecture 19 (Sect. 1)

 

 

Lecture 19 (Sect. 2)

740 KB

 

 

660 KB

Tue Nov 20
20
10.2

Sect. 1: Propagation delays in a 3-inverter fan-out driven by a clock; rise and fall times, relation to interconnects; RL and RC circuits driven by sine wave

Sect. 1: Propagation delays, rise time, fall time for MOSFET inverter; effect of inverter interconnect resistance and capacitance on propagation delays; driving several inverters; RC circuit driven by sinusoid;

Lecture 20 (Sect. 1)

 

Lecture 20 (Sect. 2)

380 KB

 

554 KB

Tue Nov 27
21
13.1 - 13.4

Sect. 1: Transient response of parallel RLC circuit; examples for overdamped, underdamped, critically damped cases. transient response of series RLC circuit; example for underdamped case.

Sect. 2: Transient response of parallel RLC circuit; examples for overdamped, underdamped, critically damped cases; summary of 2nd-order ODE procedure for these cases.

Lecture 21 rev (Sect. 1)

 

Lecture 21 (Sect. 2)

527 KB

 

677 KB

Thur Nov 29
22
13.4

Sect. 1: Forced response of an RLC circuit; particular solutions for various forcing functions; using initial values and final values; three examples of parallel RLC circuit with current source forcing function, for overdamped, underdamped, critically damped responses; comparison of these responses.

Sect. 2: Forced response of an RLC circuit; example of series RLC circuit for overdamped, underdamped, critically damped responses; a 2nd-order response from a circuit with two capacitors; example showing initial conditions for RLC circuit.

Lecture 22 rev (Sect. 1)

 

 

Lecture 22 (Sect. 2)

773 KB

 

 

536 KB

Tue Dec 4
23
13.4

Sect. 1: RLC transient effects on inverter gates; effect of inductance on pull-down transient time; comparison to RC models; calculating pull-up time, with RLC models; definition of HIGH, LOW logic states with ringing present

Sect. 2: Transient response of RLC circuits with forcing functions; form of the particular response for typical forcing functions; step responses; definition of zero-state response, and example; using the final value to get the particular response to a step function. Example for case where initial state is not zero. Relation of total response to zero-state response and zero-input response.

Lecture 23 (Sect. 1)

 

 

Lecture 23 (Sect. 2)

646 KB

 

 

639 KB

Thur Dec 6
24

Sect. 1: Review of procedures for finding transient response of RLC circuits, for more general configurations; example for switched RLC circuit; example for automobile ignition circuit to fire sparkplug

Sect. 2: Review for final exam; differential equation solution techniques; zero-state and zero-input responses; decomposition of forcing functions; example of RLC circuit response to voltage pulse;

Lecture 24 (Sect.1)

 

 

Lecture 24 (Sect. 2)

549 KB

 

 

513 KB

Tue Dec 11
25

Sect. 1: Review for final exam; state variable method of circuit analysis; solving 2nd-order systems using zero-state response and zero-input response; RLC circuit example of zero-state response to pulse input

Sect. 2: Review for final exam; zero-state and non-zero-state response of RLC circuits; example of RLC circuit with switched components.

Lecture 25 (Sect. 1)

 

 

Lecture 25 (Sect. 2)

548 KB

 

 

429 KB

Dec ?? TBD
FINAL EXAM