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. 1.2
Cartesian
Coordinate System

3. Cartesian Coordinate System

4. Right-handed system
xyz xy…
ax, ay, az are uniform unit vectors, that is, the direction of each unit vector is same everywhere in space.

5. (1)

7. P1.8 A(12, 0, 0), B(0, 15, 0), C(0, 0, –20).
(a) Distance from B to C =
(b) Component of vector from A to C along vector from B to C
= Vector from A to C
• Unit vector along vector from B to C

8. (c) Perpendicular distance from A to the line through B and C=

9. =
(2) Differential Length Vector (dl)

10. = dx ax + f ¢(x) dx ay dl = dx ax + dy ay
Unit vector normal to a surface:

11. D1.5 Find dl along the line and having the projection dz on the z-axis.
(b)

12. (c) Line passing through (0, 2, 0) and (0, 0, 1).

13. (3) Differential Surface Vector (dS)
Orientation of the surface is defined uniquely by the normal ± an to the surface.
For example, in Cartesian coordinates, dS in any plane parallel to the xy plane is

14. (4) Differential Volume (dv)
In Cartesian coordinates,