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Electromagnetism II Instructor: Andrei Sirenko [email protected] Spring 2013 Thursdays 1 pm – 4 pm Spring 2013, NJIT 1

Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

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Page 1: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Electromagnetism II

Instructor:  Andrei [email protected]

Spring 2013Thursdays   1 pm – 4 pm

Spring 2013, NJIT 1

Page 2: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Spring 2013:

1.  Book:   D. J. Griffiths  Introduction to Electrodynamics2.  Syllabus:  @  web.njit.edu/~sirenko3.  Course components: 5 HWs, 2 CQZs,  Final Exam20%   15%+15%   50%  = 100%50%  D    60% C    65% C+   70% B    75% B+    80%  A

Spring 2013, NJIT 2

Page 3: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Lecture 1

Prerequisites: E&M I from Fall 2012Chapters:  1, 2, 3, and  4 

Vector algebraElectrostaticsLaplace Eq. , Images, Expansions,…Diff. Eqs.and Electric Fields in Matter

Ability to solve problems and use your knowledge

Spring 2013, NJIT 3

Page 4: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Vector Algebra   “del”

Spring 2013, NJIT 4

“curl”

Also need Boundary conditions!

Page 5: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Vector Algebra   

Spring 2013, NJIT 5

Page 6: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Electrostatics   

Spring 2013, NJIT 6

Page 7: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Electrostatics   

Spring 2013, NJIT 7

Page 8: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Electrostatics   

Spring 2013, NJIT 8

Page 9: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Problems:  Electrostatics   

Spring 2013, NJIT 9

Page 10: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Syllabus for Spring 2013:  Chapters  5, 6, 7, 8, 9, 10, 11  +                                                      Optics of Magnetoelectric materials

Spring 2013, NJIT 10

Page 11: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Magnetostatics

Spring 2013, NJIT 11

Two main questions:

• What is the m.f. produced by a current ?

• What is the force on a current due to the m.f. ?

Page 12: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Magnetic Forces 1. moving charge (e.g., electron)   

Spring 2013, NJIT 12

Cyclotron motion

Page 13: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Cycloid Motion   

Spring 2013, NJIT 13

Page 14: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Magnetic Forces do not work   

Spring 2013, NJIT 14

Current

Page 15: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Current Density   

Spring 2013, NJIT 15

i.e.,   Local charge conservation

Page 16: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Spring 2013, NJIT 16

Page 17: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Stokes theorem:

Page 18: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Spring 2013, NJIT 18

Page 19: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Spring 2013, NJIT 19

Page 20: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Spring 2013, NJIT 20

Page 21: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Spring 2013, NJIT 21

Page 22: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Spring 2013, NJIT 22

Page 23: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Spring 2013, NJIT 23

Stokes theorem:

Page 24: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Spring 2013, NJIT 24

3 of them for x,y,z

Page 25: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Spring 2013, NJIT 25

Page 26: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Spring 2013, NJIT 26

Page 27: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace
Page 28: Lecture 1 EM II 2013sirenko/Phys433/Lecture_1_EM_II... · 2013. 2. 16. · Lecture 1 Prerequisites: E&M I from Fall 2012 Chapters: 1, 2, 3, and 4 Vector algebra Electrostatics Laplace

Boundary conditions