7 October 2010http://www.oregonstate.edu/portfolioswiki Vector Integrals and Electrostatics Corinne Manogue Tevian Dray

Slides:

Advertisements

Similar presentations

Montwood High School AP Physics C R. Casao

Advertisements

Unit 1 Day 16: Electric Potential due to any Charge Distribution

R3-1 Physics I Review 3 Review Notes Exam 3. R3-2 Newton’s Law of Universal Gravitation.

17 mayo 2011V CONGRESO NACIONAL DE ENSENANZA DE LA FISICA ENSEÑANDO A LOS ESTUDIANTES A PENSAR COMO FÍSICOS Tevian Dray & Corinne Manogue

EMLAB 1 Solution of Maxwell’s eqs for simple cases.

Physics 2112 Unit 6: Electric Potential

1 TOPIC 2 Electric Fields

Chapter 22 Electric Potential.

19-1 Physics I Class 19 The Electric Field What Is a Field?

20-1 Physics I Class 20 The Electric Field What Is a Field?

Electricity and Magnetism

Electric Potential with Integration Potential Difference in a Variable E-field If E varies, we integrate the potential difference for a small displacement.

Group of fixed charges exert a force F, given by Coulomb’s law, on a test charge q test at position r. The Electric Field The electric field E (at a given.

Copyright © 2014 John Wiley & Sons, Inc. All rights reserved.

1 W02D1 Electric Dipoles and Continuous Charge Distributions.

Chapter 21 & 22 Electric Charge Coulomb’s Law This force of repulsion or attraction due to the charge properties of objects is called an electrostatic.

Question A) B) C) D) E An electric field polarizes a metal block as shown.

Chapter 21 Electric Charge and Electric Field HW #4: Chapter 21: Pb.21,Pb. 38, Pb. 40, Pb. 52, Pb. 59, Pb.80 Due Friday, Feb 20.

Chapter 22: Electric Fields

Magnetic field of a steady current Section 30. Previously supposed zero net current. Then Now let the net current j be non-zero. Then “Conduction” current.

Chapter 25 Electric Potential Electrical Potential and Potential Difference When a test charge is placed in an electric field, it experiences a.

Electric fields Gauss’ law

Chapter 22 Gauss’s Law Chapter 22 opener. Gauss’s law is an elegant relation between electric charge and electric field. It is more general than Coulomb’s.

ELEC 3105 Lecture 1 Coulomb. 4. Electrostatics Applied EM by Ulaby, Michielssen and Ravaioli.

Example: Find the electric field at point P Rework of this example (21.6 in book)

Dr. Hugh Blanton ENTC Energy & Potential Dr. Blanton - ENTC Energy & Potential 3 The work done, or energy expended, in moving any object.

4 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA Active-Engagment Strategies that help students learn how to 'Think Like a Physicist' Corinne Manogue.

Electric field Chapter 22 Week-2 Electric Fields In this chapter we will introduce the concept of an electric field. As long as charges are stationary.

Coulomb’s Law Performing electric field calculations on charge distributions in an X-Y coordinate Plane.

EMLAB Chapter 4. Potential and energy 1. EMLAB 2 Solving procedure for EM problems Known charge distribution Coulomb’s law Known boundary condition Gauss’

Copyright © 2009 Pearson Education, Inc. Chapter 23 Electric Potential.

7/19/2010http://physics.oregonstate.edu/portfolioswiki Teaching Students to “Think Like a Physicist” Paradigms in Physics Corinne Manogue

Day 4: Electric Field Calculations for Continuous Charge Distributions A Uniform Distribution of Surface charge A Ring of Continuous Charge A Long Line.

Application of Gauss’ Law to calculate Electric field:

Dr. Wang Xingbo Fall ， 2005 Mathematical & Mechanical Method in Mechanical Engineering.

1 W02D1 Electric Dipoles and Continuous Charge Distributions.

Electrostatics in Vacuum, in Conductors and in the Presence of Linear Dielectrics Principle of Superposition Charges were at rest.

Question. Question A) B) C) D) E An electric field polarizes a metal.

Poisson’s Equation Section 5.2 (“Fish’s” Equation!) Comparison of properties of gravitational fields with similar properties of electrostatic fields (Maxwell’s.

Lecture 3-1 Dipole in uniform electric fields No net force. The electrostatic forces on the constituent point charges are of the same magnitude but along.

Electrostatics Coulomb’s Law.

-Electric Potential due to Continuous Charge Distributions AP Physics C Mrs. Coyle.

Chapter 4: Solutions of Electrostatic Problems 4-1 Introduction 4-2 Poisson’s and Laplace’s Equations 4-3 Uniqueness of Electrostatic Solutions 4-4 Methods.

Electric Field Define electric field, which is independent of the test charge, q, and depends only on position in space: dipole One is > 0, the other

President UniversityErwin SitompulEEM 6/1 Lecture 6 Engineering Electromagnetics Dr.-Ing. Erwin Sitompul President University

Electric field Chapter 22 Week-2 Electric Fields In this chapter we will introduce the concept of an electric field. As long as charges are stationary.

Lecture 19 Electric Potential

Electric Potential.

Differential Equations Linear Equations with Variable Coefficients.

Conductor, insulator and ground. Force between two point charges:

Chapter 25 Electric Potential. Electrical Potential Energy The electrostatic force is a conservative force, thus It is possible to define an electrical.

Tue. Jan. 27 – Physics Lecture #23 Electric Field, Continued (and Continuous!) 1. Electric Field due to Continuous Charge Distributions Warm-up: Consider.

Forces and fields obey the superposition principle: Field from a group of particles is a vector sum of fields from each particle.

Copyright © 2009 Pearson Education, Inc. Supplemental Lecture Taken from Ch. 21 in the book by Giancoli Section & Example Numbers refer to that book.

6 October 2010XIII SEMANA DE LA ENSENANZA DE LA FISICA Derivatives and Electrostatics Corinne Manogue Tevian Dray

Chapter 22 Electric Fields The Electric Field: The Electric Field is a vector field. The electric field, E, consists of a distribution of vectors,

Chapter 23 Electric Fields.

Electric Forces and Fields AP Physics C. Electrostatic Forces (F) (measured in Newtons) q1q1 q2q2 k = 9 x 10 9 N*m 2 /C 2 This is known as “Coulomb’s.

Lecture 3-1 Electric Field Define electric field, which is independent of the test charge, q, and depends only on position in space: dipole One is > 0,

Medan Listrik Statis I (Hk.Couloumb, Hk. Gauss, Potensial Listrik) Sukiswo

Comparison of Magnetostatics and Electrostatics

ELEC 3105 Lecture 1 Coulomb.

Electric field Chapter 22

Chapter 22 Electric Fields.

We, the course instructors,

Physics I Class 19 The Electric Field.

Electrostatics – Charges on Conductors

Electric field of distributed charges

Review Chapter 1-8 in Jackson

Coulomb’s Law Performing electric field calculations on charge distributions in an X-Y coordinate Plane.

Presentation transcript:

7 October 2010http:// Vector Integrals and Electrostatics Corinne Manogue Tevian Dray

7 October 2010http://

7 October 2010http:// Curvilinear Coordinates

7 October 2010http:// Curvilinear Basis Vectors

7 October 2010http:// Curvilinear Basis Vectors

7 October 2010http:// The Vector Differential

7 October 2010http:// The Vector Differential

7 October 2010http:// The Ring Consider a very thin ring of charge with radius R and total charge Q. Find the electrostatic potential due to this ring everywhere in space.

7 October 2010http:// Potential Due to a Ring of Charge

7 October 2010http:// The Ring Consider a very thin ring of charge with radius R and total charge Q. Find the electric field due to this ring everywhere in space.

7 October 2010http:// Steady Current

7 October 2010http:// The Spinning Ring Consider a very thin ring of charge with radius R and total charge Q. The ring is rotating about its axis with period T. Find the vector potential due to this ring everywhere in space.

7 October 2010http:// An Example Typical of EARLY upper-division work for physics majors and many engineers. Solution requires: –many mathematical strategies, –many geometrical and visualization strategies, –only one physics concept. Demonstrates different use of language.

7 October 2010http:// Potential Due to Charged Disk What is the electrostatic potential at a point, on axis, above a uniformly charged disk?

7 October 2010http:// One Physics Concept Coulomb’s Law:

7 October 2010http:// Superposition Superposition for solutions of linear differential equations:

7 October 2010http:// Chopping and Adding Integrals involve chopping up a part of space and adding up a physical quantity on each piece.

7 October 2010http:// Computational Skill Can the students set-up and do the integral?

7 October 2010http:// Constants vs. Variables Which of these symbols are constants and which are variables?

7 October 2010http:// Limits (Far Away)

7 October 2010http:// The Spinning Ring - Limits Approximate this vector potential near the center of the ring, in the plane of the ring. Approximate this vector potential near the center of the ring, along the z-axis. Approximate this vector potential far from the ring, in the plane of the ring. Approximate this vector potential far from the ring, along the z-axis.

7 October 2010http:// Steady Current