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. Cylindrical and Spherical
1.3
Cylindrical and Spherical
Coordinate Systems

3. Cylindrical and Spherical Coordinate Systems
Cylindrical (r, f, z) Spherical (r, q, f)
Only az is uniform. All three unit
ar and af are vectors are
nonuniform. nonuniform.

4. x = r cos f x = r sin q cos f
y = r sin f y = r sin q sin f
z = z z = r cos q
D1.7 (a) (2, 5p/6, 3) in cylindrical coordinates

5. (b)

6. (c)

7. (d)

8. Conversion of vectors between coordinate systems

9. P1.18 A = ar at (2, p/6, p/ 2)
B = aq at (1, p/3, 0)
C = if at (3, p/4, 3p/2)

11. (a)
(b)

12. (c)
(d)