Slide Presentations for ECE 329, Introduction to Electromagnetic Fields, to supplement

1
Slide Presentations for ECE 329,Introduction to
Electromagnetic Fields,to supplement Elements
of Engineering Electromagnetics, Sixth Edition

• by
• Nannapaneni Narayana Rao
• Edward C. Jordan Professor of Electrical and
  Computer Engineering
• University of Illinois at Urbana-Champaign,
  Urbana, Illinois, USA
• Distinguished Amrita Professor of Engineering
• Amrita Vishwa Vidyapeetham, Coimbatore, Tamil
  Nadu, India

2
4.6Boundary Conditions
3
Why boundary conditions?
Medium 1
Medium 2
Inc. wave
Trans. wave
Ref. wave
4
Maxwells equations in integral form must be
satisfied regardless of where the contours,
surfaces, and volumes are.
Example
C3
C2
C1
Medium 1
Medium 2
5
Example of derivation of boundary conditions
Medium 1
Medium 2
6
or,
7
Summary of boundary conditions
8
Perfect Conductor Surface
(No time-varying fields inside a perfect
conductor. Also no static electric field may be
a static magnetic field.) Assuming both E and H
to be zero inside, on the surface,
9
(No Transcript)
10
Dielectric-Dielectric Interface
11
(No Transcript)
12
Example
D4.11
At a point on a perfect conductor surface,
and
pointing away from the surface. Find . D0 is
positive.
(a)
13
and
pointing toward the surface. D0 is positive.
(b)
14
Example
(a)
15
(b)
(c)