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. 2.1
The Line Integral

3. Work done in carrying a charge from A to B in an electric field:
The Line Integral
Work done in carrying a charge from A to B in an electric field: a1 a2

4. (Voltage between
A and B)

5. In the limit ,
= Line integral of E
from A to B.
= Line integral of E
around the closed
path C.

6. is independent of
the path from A to B
(conservative field)

7. along the straight line paths (0, 0, 0)
Ex. For find
(1,2,3)
along the straight line paths (0, 0, 0)
from (0, 0, 0) to (1, 0, 0), from (1, 0, 0) to (1, 2, 0) and then from (1, 2, 0) to (1, 2, 3).

8. From (0, 0, 0) to (1, 0, 0),
From (1, 0, 0) to (1, 2, 0),

9. From (1, 2, 0) to (1, 2, 3),

10. In fact,