Lec2 TRƯỜNG ĐIỆN TỪ

6.013, Electromagnetic Fields, Forces, and Motion Lecture 2

Prof. Markus Zahn Page 1 of 8

6.013, Electromagnetic Fields, Forces, and Motion

Prof. Markus Zahn, Sept. 13, 2005

Lecture 2: Electromagnetic Field Boundary Conditions

I. Boundary Conditions

1. Gauss’ Continuity Condition

Courtesy of Krieger Publishing. Used with permission.

0 s 0 2n 1n s   S S E da = dS E - E dS = dS     

0 2n 1n s 0 s E - E = n E - E =    2 1    

  

2. Continuity of Tangential E

Courtesy of Krieger Publishing. Used with permission.

1t 2t 1t 2t  CE ds = E - E dl = 0 E - E 0   

n× E - E = 0 1 2

Equivalent to 1 2 =  along boundary