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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• 2.4
• Ampéres Circuital Law

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• Ampéres Circuital Law

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Magnetomotive force (only by analogy with
electromotive force),
Current due to flow of charges crossing S,
Displacement flux, or electric flux, crossing S,
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Time rate of increase of displacement flux
crossing S, or, displacement current crossing S,
Right-hand screw rule. Any surface S bounded by
C, but the same surface for both terms on the
right side.
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• Three cases fo clarify Ampéres circuital law
• (a) Infinitely long, current carrying wire

No displacement flux
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(b) Capacitor circuit (neglect fringing of field
in the capacitor)
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• (c) Finitely long wire

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• Uniqueness of

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Displacement current emanating from a closed
surface (current due to flow of charges
emanating from the same closed surface)
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D2.9 (a) Current flowing from Q2 to Q3.
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• (b) Displacement current emanating from the
• spherical surface of radius 0.1 m and
  centered at Q1.
• (c) Displacement current emanating from the
  spherical
• surface of radius 0.1 m and centered at Q3.

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• Interdependence of Time-Varying Electric and
  Magnetic Fields

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• Hertzian Dipole