Electromagnetism Lecture#1 [Introduction] Instructor: Engr. Muhammad Mateen Yaqoob
ElectromagnetismLecture#1 [Introduction]
Instructor:
Engr. Muhammad Mateen Yaqoob
MATEEN YAQOOB DEPARTMENT OF COMPUTER SCIENCE
Instructor Information Instructor:
Engr. Muhammad Mateen Yaqoob
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
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Power of Ten
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ExamplesQ 1
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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