# ECE 220

## Basic Circuits

### Course Level

### Units

### Prerequisite(s)

### Course Texts

Nilsson, James W., and Susan A. Riedel. *Electric Circuits*. 10th ed. Prentice Hall, 2015.

### Schedule

### Course Description

Circuit variables, circuit elements, simple resistive circuits, techniques of circuit analysis, operational amplifiers, inductors and capacitors, mutual inductance, response of RL and RC circuits, response of RLC circuits, sinusoidal steady-state analysis, transformers.

### Learning Outcomes

By the end of this course, the student will be able to:

- Apply knowledge of mathematics, science and engineering
- Design and conduct experiments, as well as analyze and interpret data
- Identify, formulate and solve engineering problems
- Communicate effectively in writing
- Use the techniques, skills and modern engineering tools necessary for engineering practice

### Course Topics

**Circuit Variables (2 lectures)**

- Overview of electrical engineering and circuit analysis
- Voltage and current
- The ideal basic circuit element
- Reference directions
- Power and energy

**Circuit Elements (3 lectures)**

- Voltage and current sources
- Electrical resistance and Ohm's law
- Construction of a circuit model
- Kirchhoff's laws
- Dependent sources

**Simple Resistive Circuits (4 lectures)**

- Resistors in series and in parallel
- The voltage-divider circuit
- The current-divider circuit
- Measuring voltage and current
- The Wheatstone bridge
- Delta-Wye equivalent circuits

**Techniques of Circuit Analysis (13 lectures)**

- Introduction to the node-voltage method: node-voltage analysis with dependent sources, some special cases
- Introduction to mesh currents: mesh current analysis with dependent sources, some special cases
- The node-voltage method versus the mesh current method
- Source transformations
- Thevenin and Norton equivalent circuits
- Maximum power transfer
- Superposition

**The Operational Amplifier (8 lectures)**

- Operational amplifier terminals
- Terminal voltages and currents
- Inverting, summing, noninverting, difference, comparators and integrating amplifier circuits

**Inductance, Capacitance, Mutual Inductance (4 lectures)**

- Properties of the inductor
- Properties of the capacitor
- Series and parallel combinations of inductance and capacitance
- Mutual inductance

**Response of First-Order RL and RC Circuits (6 lectures)**

- Natural response of RL and RC circuits
- Step response of RL and RC circuits
- A general solution for step and natural responses
- Sequential switching
- Unbounded response

**Natural and Step Responses of RLC Circuits (6 lectures)**

- Natural and step responses of a parallel RLC circuit
- Natural and step responses of a series RLC circuit

**Sinusoidal Steady-State Analysis (10 lectures)**

- Sinusoidal sources and response
- Phasors
- Impedance and admittance
- Series-parallel and Delta-Wye simplifications
- Source transformations and Thevenin-Norton equivalents
- Node and mesh analysis
- Transfer functions
- Ideal transformers
- Impedance matching
- Phasor diagrams

### Relationship to Student Outcomes

ECE 220 contributes directly to the following specific electrical and computer engineering student outcomes of the ECE department:

- Ability to apply knowledge of mathematics, science and engineering (high)
- Ability to design a system, component or process to meet desired needs within realistic constraints, such as economic, environmental, social, political, ethical, health and safety, manufacturability and sustainability (medium)
- Ability to communicate effectively (low)
- Ability to use the techniques, skills and modern engineering tools necessary for engineering practice (low)