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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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Ampére’s Circuital Law
2.4 Ampére’s Circuital Law
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Ampére’s 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 Ampére’s 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
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