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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• 1.2
• Cartesian
• Coordinate System

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• Cartesian Coordinate System

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• 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.

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(1)
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• 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

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• (c) Perpendicular distance from A to the line
  through B and C

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• (2) Differential Length Vector (dl)

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dl dx ax dy ay dx ax f (x) dx ay
Unit vector normal to a surface
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• D1.5 Find dl along the line and having the
  projection dz on the z-axis.
• (a)
• (b)

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

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• (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

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• (4) Differential Volume (dv)
• In Cartesian coordinates,