16.360 Lecture 15 Today Transformations between coordinate systems 1.Cartesian to cylindrical transformations 2.Cartesian to spherical transformations.

Slides:



Advertisements
Similar presentations
Lecture 5: Jacobians In 1D problems we are used to a simple change of variables, e.g. from x to u 1D Jacobian maps strips of width dx to strips of width.
Advertisements

$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300.
Coordinate Systems Dr. Midori Kitagawa.
ENE 206 Matlab 4 Coordinate systems. Vector and scalar quantities Vector scalar A.
EEE 340Lecture Spherical Coordinates. EEE 340Lecture 042 A vector in spherical coordinates The local base vectors from a right –handed system.
Lecture 2eee3401 Chapter 2 Coordinate Systems 1)Cartesian (rectangular) 2)Circular cylindrical 3)Spherical 4)Others (elliptic cylindrical, conical,…) A.
ARCH 481 3d Modeling and Rendering lecture four: texture maps.
2006 Fall MATH 100 Lecture 81 MATH 100 Lecture 19 Triple Integral in cylindrical & spherical coordinate Class 19 Triple Integral in cylindrical & spherical.
Lecture 16 Today Gradient of a scalar field
Lecture 13 Today Basic Laws of Vector Algebra Scalars: e.g. 2 gallons, $1,000, 35ºC Vectors: e.g. velocity: 35mph heading south 3N force toward.
Lecture 14 Today Orthogonal coordinate systems 1.The Cartesian (rectangular) coordinate system 2.The cylindrical coordinate system 3.The spherical.
Lecture 18 Today Curl of a vector filed 1.Circulation 2.Definition of Curl operator in Cartesian Coordinate 3.Vector identities involving the curl.
6 - 1 Coordinate systems in 3-D Although there are 11- separable coordinate systems, the most commonly used ones are Cartesian, cylindrical, and spherical.
Spherical Coordinates
(MTH 250) Lecture 26 Calculus. Previous Lecture’s Summary Recalls Introduction to double integrals Iterated integrals Theorem of Fubini Properties of.
Coordinate System VECTOR REPRESENTATION 3 PRIMARY COORDINATE SYSTEMS: RECTANGULAR CYLINDRICAL SPHERICAL Choice is based on symmetry of problem Examples:
Lecture 18: Triple Integrals, Cyclindrical Coordinates, and Spherical Coordinates.
X y z Point can be viewed as intersection of surfaces called coordinate surfaces. Coordinate surfaces are selected from 3 different sets.
MA Day 46 – March 19, 2013 Section 9.7: Spherical Coordinates Section 12.8: Triple Integrals in Spherical Coordinates.
Lecture 13 Basic Laws of Vector Algebra Scalars: e.g. 2 gallons, $1,000, 35ºC Vectors: e.g. velocity: 35mph heading south 3N force toward center.
Lecture 19: Triple Integrals with Cyclindrical Coordinates and Spherical Coordinates, Double Integrals for Surface Area, Vector Fields, and Line Integrals.
Darryl Michael/GE CRD Fields and Waves Lesson 2.1 VECTORS and VECTOR CALCULUS.
Vector calculus 1)Differential length, area and volume
MA Day 45 – March 18, 2013 Section 9.7: Cylindrical Coordinates Section 12.8: Triple Integrals in Cylindrical Coordinates.
Cylindrical and Polar Coordinate Systems Chapter 13.7.
Chapter 1 - Vector Analysis. Scalars and Vectors Scalar Fields (temperature) Vector Fields (gravitational, magnetic) Vector Algebra.
Warm-up Problems Sketch the surface 9x 2 + 4y 2 – 36z 2 – 18x – 144z = 171.
Sec 16.7 Triple Integrals in Cylindrical Coordinates In the cylindrical coordinate system, a point P is represented by the ordered triple (r, θ, z), where.
11.7 Cylindrical and Spherical Coordinates. The Cylindrical Coordinate System In a cylindrical coordinate system, a point P in space is represented by.
1 Lecture #3 Center of Mass Defined Relation to momentum Polar, Cylindrical and Spherical Coordinates Worked problems DVD Demonstration on momentum cons.
CARTESIAN COORDINATE SYSTEMS
Triple Integral in Cylindrical Coordinates
10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates)
Curves From Equations and Other Fun Stuff Spring Meeting: Pro Users of the Carolinas 17 April 2014 Dave Engvall TE Connectivity, Winston-Salem, NC.
$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300.
Robot and Robot Classification
Physics 321 Hour 7 Energy Conservation – Potential Energy in One Dimension.
Triple Integrals in Cylindrical and Spherical Coordinates
CS654: Digital Image Analysis Lecture 6: Basic Transformations.
Transformations Dr. Hugh Blanton ENTC Dr. Blanton - ENTC Coordinate Transformations 2 / 29 It is important to compare the units that are.
Dr. Hugh Blanton ENTC 3331 Dr. Blanton - ENTC Orthogonal Coordinate Systems 2 Fields and Waves VECTORS and VECTOR CALCULUS.
§1.4 Curvilinear coordinates Christopher Crawford PHY
1 Coordinate Systems and Transformation. Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku2 Figure 2.1 Point.
Wave Equations: EM Waves. Electromagnetic waves for E field for B field.
NextHome William Harmon. Quiz : Part 3 The Bearings - The Coordinate System PrevNextHomePrevNextHome 1. There are 3 types of coordinate systems ? Please.
CALCULUS III CHAPTER 5: Orthogonal curvilinear coordinates
Shree Swami Atmanand Saraswati Institute of Technology
COORDINATE SYSTEMS & TRANSFORMATION
School of EECS, SNU Photonic Systems Laboratory Generalized Coordinate Systems 박현희 Photonic Systems Laboratory School of EE, Seoul National.
University of Utah Introduction to Electromagnetics Lecture 14: Vectors and Coordinate Systems Dr. Cynthia Furse University of Utah Department of Electrical.
INSTITUTE OF TECHNOLOGY AND MANAGEMENT UNIVERSE ENGINEERING ELECTROMAGNETICS ( ) PRESENTATION BY : DEVESH MALAKAR ( ) KISHAN DOSHI ( )
Identify the coordinate system that best describes symmetry about the z-axis
Lecture 19 Flux in Cartesian Coordinates.
ECE 305 Electromagnetic Theory
Chapter 3 Overview.
By the end of Week 3: You would learn how to solve many problems involving lines/planes and manipulate with different coordinate systems. These are.
Quiz : Part 3 - The coordinate system
ENE/EIE 325 Electromagnetic Fields and Waves
rectangular coordinate system spherical coordinate system
Curvilinear Coordinates
Cartesian Coordinate System
Cylindrical Coordinate System
課程大綱 OUTLINE Double Integrals（二重積分） Triple Integrals（三重積分）
14.7 Triple Integrals with Cylindrical and Spherical Coordinates
The Distance and Midpoint Formulas
Electrostatic Boundary Value Problems Ref: Elements of Electromagnetics by Matthew N. O. Sadiku.
Lecture 17 Today Divergence of a vector filed
The Distance and Midpoint Formulas
Cylindrical & Spherical Coordinates
Lecture 16 Gradient in Cartesian Coordinates
Presentation transcript:

Lecture 15 Today Transformations between coordinate systems 1.Cartesian to cylindrical transformations 2.Cartesian to spherical transformations 3.Cylindrical to spherical transformations 4.Distance between two points

Lecture 15 Cartesian to cylindrical transformation

Lecture 15 Cartesian to cylindrical transformation

Lecture 15 Cartesian to cylindrical transformation

Lecture 15 Cartesian to Spherical transformation

Lecture 15 Cartesian to Spherical transformation

Lecture 15 Cartesian to Spherical transformation

Lecture 15 Distance between two points:

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2025 SlidePlayer.com. Inc. All rights reserved.