Electromagnetism Lecture#1 [Introduction] Instructor: Engr. Muhammad Mateen Yaqoob

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ElectromagnetismLecture#1 [Introduction]

Instructor:

Engr. Muhammad Mateen Yaqoob

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Instructor Information Instructor:

Engr. Muhammad Mateen Yaqoob

mateenyaqoob@gmail.com

Consulting Hours:

Tuesday (9:30 am – 3:30 pm)

Faculty Block 2nd Floor (304-4)

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Instructor Introduction MS Electrical Engineering

COMSATS Islamabad

BS Telecommunication Engineering

Foundation University Islamabad

Area of Interest:

Wireless Communication and Networks

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Course Introduction (1/2) This course is worth 3 credit hours

Prerequisites:

A good grounding in calculus and physics is essential for this course

Course Focus:

The focus of course is on electricity and magnetism, including electric fields, magnetic fields and laws, electromagnetic forces, conductors and dielectrics, and electromagnetic waves.

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Course Introduction (2/2) Text-book:

Physics for Scientists and Engineers by Serway/Jewett (6th and higher editions)

Recommended Book:

Principles of Electric Circuits (Conventional Current Version) by Thomas L. Floyd

Field and Wave Electromagnetics by David K. Cheng

Lecture notes will be available to students from my webpage (www. mateen.yolasite.com)

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Course Grading Mid-Term Exam = 25 Marks

Sessional = 20 Marks

Lab = 10 Marks

Final-Term Exam = 45 Marks

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Coordinate Systems Many aspects of physics involve a description of a location in space

Cartesian coordinate system:◦ Also called rectangular coordinates◦ In this horizontal and vertical axes intersect at a point defined as the origin

Polar coordinate system:◦ Sometimes it is more convenient to represent a point in a plane by its plane

polar coordinates (r, θ)◦ In this polar coordinate system, r is the distance from the origin to the point

having Cartesian coordinates (x, y), and θ is the angle between a line drawn from the origin to the point and a fixed axis

◦ This fixed axis is usually the positive x axis, and θ is usually measured counterclockwise from it

Cartesian Coordinate System

Polar Coordinate System

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Coordinate Systems Therefore, starting with the plane polar coordinates of any point, we can obtain the Cartesian coordinates by using the equations

Furthermore, the definitions of trigonometry tell us that

If the reference axis for the polar angle θ is chosen to be one other than the positive x axis or if the sense of increasing θ is chosen differently, then the expressions relating the two sets of coordinates will change

The right triangle used to relate (x, y) to (r, θ)

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Physical Quantities Scalar: Certain physical quantities only have magnitude e.g., mass or the absolute temperature

These quantities can be represented by numbers alone

Vector: Those which have both magnitude and direction

The magnitude can stretch or shrink, and the direction can reverse

Position, displacement, velocity, acceleration, force, momentum and torque are all physical quantities that can be represented mathematically by vectors

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Properties of Vector A vector is a quantity that has both direction and magnitude

Let a vector be denoted by the symbol

The magnitude of is

We can represent vectors as geometric objects using arrows

The length of the arrow corresponds to the magnitude of the vector

The arrow points in the direction of the vector

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Vector Addition Vectors can be added using “Head-to-tail rule”

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Vector Addition Vector addition satisfies the following four properties:

1. Commutivity: The order of adding vectors does not matter

2. Associativity: When adding three vectors, it doesn’t matter which two you start with

3. Identity Element for Vector Addition: There is a unique vector, that acts as an identity element for vector addition

4. Inverse element for Vector Addition: For every vector, there is a unique inverse vector

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Standards of Length, Mass, and Time

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Standards of Length, Mass, and Time

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Standards of Length, Mass, and Time

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Standards of Length, Mass, and Time

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Units of measurement

SI fundamental units

SI supplementary units

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Except for current which is a fundamental unit, all electrical and magnetic units are derived from the fundamental units.

Electrical quantities and derived units with SI symbols.

Electric Quantities and Units

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Units of measurement

Magnetic quantities and derived units with SI symbols.

Magnetic quantities and Units

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Scientific Notation Very large and very small numbers are represented with scientific Notation.

In scientific notation, a quantity is expressed as a product of a number between 1 and 10 and a power of ten (10x).

For Example

47,000,0.0 = 4.7 x 105

0.00022 = 2.2 x 10-4

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Power of Ten

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ExamplesQ 1

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Q 2

Examples

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ExamplesQ 3

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Engineering Notation Engineering notation is similar to scientific notation. However, in engineering notation a number can have from one to three digits to the left of the decimal point and the power-of-ten exponent must be a multiple of three.

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Examples

Q 1

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

ExamplesQ 2

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Metric Prefixes In engineering notation metric prefixes represent each of the most commonly used powers of ten.

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Examples

Q 1

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Metric Unit Conversion When converting from a larger unit to a smaller unit, move the decimal point to the right. Remember, a smaller unit means the number must be larger.

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Metric Unit Conversion When converting from a smaller unit to a larger unit, move the decimal point to the left. Remember, a larger unit means the number must be smaller.

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

Metric Unit Conversion

Q 1

MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE

ExamplesQ 2