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

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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

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• 2.1
• The Line Integral

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• The Line Integral
• Work done in carrying a charge from A to B in an
  electric field

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(Voltage between A and B)
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• In the limit ,

Line integral of E from A to B.
Line integral of E around the closed path C.
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is independent of the path from A to
B (conservative field)
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• Ex. For
  find

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

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• From (1, 2, 0) to (1, 2, 3),

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• In fact,