1. Edward C. Jordan Memorial Offering of the First Course under the Indo-US Inter-University Collaborative Initiative in Higher Education and Research: Electromagnetics for Electrical and Computer Engineering by Nannapaneni Narayana Rao Edward C. Jordan Professor of Electrical and Computer Engineering University of Illinois at Urbana-Champaign Urbana, Illinois, USA Amrita Viswa Vidya Peetham, Coimbatore July 10 – August 11, 2006

2. 1.3 Cylindrical and Spherical Coordinate Systems

3. 1.3-2 Cylindrical (r, , z)Spherical (r, ,  ) Only a z is uniform.All three unit a r and a  arevectors arenonuniform. Cylindrical and Spherical Coordinate Systems

4. 1.3-3 x=r cos  x=r sin  cos  y=r sin  y=r sin  sin  z=zz=r cos  D1.7(a)(2, 5  /6, 3) in cylindrical coordinates

5. 1.3-4 (b)

6. 1.3-5 (c)

7. 1.3-6 (d)

8. 1.3-7 Conversion of vectors between coordinate systems

9. 1.3-8 P1.18A=a r at(2,  /6,  2) B=a  at(1,  /3, 0) C=i  at(3,  /4, 3  /2)

10. 1.3-9

11. 1.3-10 (a) (b)

12. 1.3-11 (c) (d)