**Department of Electrical
and Computer Engineering**

**Fall Term 2006**

**Course Outline**

**REVIEW**

**UNIT 1. VECTOR ANALYSIS**

1.1 Scalars and Vectors

1.2 Vector Algebra

1.3 The Cartesian coordinate system

1.4 The Dot Product

1.5 The Cross Product

1.6 The Circular Cylindrical Coordinates

1.7 The Spherical Coordinate System

**UNIT 2. COULOMB'S LAW AND ELECTRIC
FIELD**

2.1 Charge and its Conservation

2.2 Coulomb's Law

2.3 The Electric Field

2.4 Calculation of Electric Fields

2.5 Motion of Charged particle in an
Electric Field

**UNIT 3. ELECTRIC FLUX DENSITY AND GAUSS'S
LAW**

3.1 Electric Flux Density

3.2 Gauss's Law

3.3 Applications of Gauss's Law: Some Symmetrical Charge Distributions

3.4 The Vector Operator and the Divergence Theorem

3.5 Maxwell's First Equation (Electrostatics)

**UNIT 4. ELECTRIC ENERGY AND ELECTRIC
POTENTIAL**

4.1 The Line Integral

4.2 Electric Potential and Potential Difference

4.3 The Relation Between Electric Potential and Electric Field

4.4 The Electric Potential due to a Single Point Charges

4.5 The Electric Potential due to any Charge distribution

4.6 The Electrostatic Potential Energy

**UNIT 5. CAPACITANCE AND ELECTRIC ENERGY
STORED**

5.1 Capacitance

5.2 Determination of Capacitance

5.3 Capacitor in Series and Parallel

5.4 Electric Energy Stored

**UNIT 6. POISSON'S AND LAPLACES'S EQUATIONS**

6.1 Poisson's and Laplace's Equations

6.2 Examples of the Solution of Laplace's Equation

6.3 Example of the Solution of Poisson's
Equation

**UNIT 7. CONDUCTORS, OHM'S LAW AND KIRCHOFF'S
LAWS**

7.1 Electric Current and Current Density

7.2 Continuity of Current

7.3 Metallic Conductors

7.4 Ohm's Law and Resistance

7.5 Kirchoff's Law

7.6 Resistors in Series and Parallel

7.7 Energy Dissipated

7.8 Electric Power

**UNIT 8. THE STEADY MAGNETIC FIELD**

8.1 Biot-Savart Law

8.2 Application of Biot-Savart Law

8.3 Ampere's Circuital Law

8.4 Application of Ampere's Law

8.5 Magnetic Flux and Magnetic Flux
Density

**UNIT 9. MAGNETIC MATERIALS AND MAGNETIC
CIRCUITS**

9.1 The Nature of Magnetic Materials

9.2 Paramagnetism and Diamagnetism

9.3 Ferromagnetism

9.4 Magnetic Circuit

**UNIT 10: INDUCTANCE AND FARADAY'S LAW**

10.1 Induced EMF

10.2 Faraday's Law

10.3 Lenz's Law

10.4 EMF Induced in a Moving Conductor

10.5 Inductance and Mutual Inductance

10.6 Inductors in Series and Parallel

10.7 Electric Energy Stored

**UNIT 11. SEMICONDUCTORS AND DIODES**

11.1 Semiconductor

11.2 pn junction Behavior

11.3 Forward/reverse Bias

11.4 Zener Diode

11.5 Diode Circuits