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EE204B_Lesson_01_Vector_Algebra_

# EE204B_Lesson_01_Vector_Algebra_ - EE204B EE204B...

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Unformatted text preview: EE204B EE204B Electromagnetics Electromagnetics Lesson 01 Vector Algebra Al Instructor: Prof. Yong H. Won Lesson 01 Topics Topics Basic concept of scalars and vectors Wh What is unit vector? Vector addition and subtraction Position and distance vectors Vector multiplication • Dot product • Cross product Components of a vector EE204B Electromagnetics Prof. Yong H. Won Spring 2010 2 Lesson 01 Scalars and Vectors EE204B Electromagnetics Prof. Yong H. Won Spring 2010 3 Lesson 01 Scalar and Vector Fields EE204B Electromagnetics Prof. Yong H. Won Spring 2010 4 Lesson 01 Example of a Scalar Field EE204B Electromagnetics Prof. Yong H. Won Spring 2010 5 Lesson 01 Scalar Fields e.g. Temperature: Every location has associated value (number with units) EE204 Electromagnetics Prof. Yong H. Won Spring 2010 6 Lesson 01 Scalar Fields - Contours • Colors represent surface temperature • Contour lines show constant temperatures EE204 Electromagnetics Prof. Yong H. Won Spring 2010 7 Lesson 01 Fields are 3D • T = T(x,y,z) • Hard to visualize Work in 2D EE204 Electromagnetics Prof. Yong H. Won Spring 2010 8 Lesson 01 Vector Fields Vector (magnitude, direction) at every point in space Example: Velocity vector field - jet stream EE204 Electromagnetics Prof. Yong H. Won Spring 2010 9 Lesson 01 Vector Fields Explained EE204B Electromagnetics Prof. Yong H. Won Spring 2010 10 Lesson 01 Examples of Vector Fields EE204B Electromagnetics Prof. Yong H. Won Spring 2010 11 Lesson 01 Examples of Vector Fields EE204B Electromagnetics Prof. Yong H. Won Spring 2010 12 Lesson 01 Examples of Vector Fields EE204B Electromagnetics Prof. Yong H. Won Spring 2010 13 Lesson 01 Unit Vector EE204B Electromagnetics Prof. Yong H. Won Spring 2010 14 Lesson 01 Unit Vector EE204B Electromagnetics Prof. Yong H. Won Spring 2010 15 Lesson 01 Unit Vector Example 1-1 EE204B Electromagnetics Prof. Yong H. Won Spring 2010 16 Lesson 01 Unit Vector Example 1-2 EE204B Electromagnetics Prof. Yong H. Won Spring 2010 17 Lesson 01 Vector Addition and Subtraction EE204B Electromagnetics Prof. Yong H. Won Spring 2010 18 Lesson 01 Vector Addition and Subtraction EE204B Electromagnetics Prof. Yong H. Won Spring 2010 19 Lesson 01 Vector Addition and Subtraction Example 1-3 EE204B Electromagnetics Prof. Yong H. Won Spring 2010 20 Lesson 01 Vector Addition and Subtraction Example 1-4 EE204B Electromagnetics Prof. Yong H. Won Spring 2010 21 Lesson 01 Position and Distance Vectors EE204B Electromagnetics Prof. Yong H. Won Spring 2010 22 Lesson 01 Position and Distance Vectors EE204B Electromagnetics Prof. Yong H. Won Spring 2010 23 Lesson 01 Position and Distance Vectors Example 1-5 [Practice 1.2] EE204B Electromagnetics Prof. Yong H. Won Spring 2010 24 Lesson 01 Position and Distance Vectors Example 1-6 EE204B Electromagnetics Prof. Yong H. Won Spring 2010 25 Lesson 01 Position and Distance Vectors EE204B Electromagnetics Prof. Yong H. Won Spring 2010 26 Lesson 01 Position and Distance Vectors Example 1-7 [Practice 1.3] EE204B Electromagnetics Prof. Yong H. Won Spring 2010 27 Lesson 01 Vector Multiplication EE204B Electromagnetics Prof. Yong H. Won Spring 2010 28 Lesson 01 Vector Multiplication 1-8 EE204B Electromagnetics Prof. Yong H. Won Spring 2010 29 Lesson 01 Vector Multiplication Example 1-9 EE204B Electromagnetics Prof. Yong H. Won Spring 2010 30 Lesson 01 Vector Multiplication Example 1-10 [Practice 1.2] EE204B Electromagnetics Prof. Yong H. Won Spring 2010 31 Lesson 01 Vector Multiplication EE204B Electromagnetics Prof. Yong H. Won Spring 2010 32 Lesson 01 Vector Multiplication EE204B Electromagnetics Prof. Yong H. Won Spring 2010 33 Lesson 01 Vector Multiplication Example 1-11 EE204B Electromagnetics Prof. Yong H. Won Spring 2010 34 Lesson 01 Vector Multiplication EE204B Electromagnetics Prof. Yong H. Won Spring 2010 35 Lesson 01 Vector Multiplication EE204B Electromagnetics Prof. Yong H. Won Spring 2010 36 Lesson 01 Components of a Vector EE204B Electromagnetics Prof. Yong H. Won Spring 2010 37 Lesson 01 Components of a Vector EE204B Electromagnetics Prof. Yong H. Won Spring 2010 38 Lesson 01 Components of a Vector Example 1-12 EE204B Electromagnetics Prof. Yong H. Won Spring 2010 39 Lesson 01 Components of a Vector Example 1-13 EE204B Electromagnetics Prof. Yong H. Won Spring 2010 40 ...
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