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by Nannapaneni Narayana Rao Edward C. Jordan Professor of Electrical and Computer Engineering

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

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by Nannapaneni Narayana Rao Edward C. Jordan Professor of Electrical and Computer Engineering

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  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. 4.6Boundary Conditions

  3. Why boundary conditions? Medium 1 Medium 2 Inc. wave Trans. wave Ref. wave

  4. Maxwell’s equations in integral form must be satisfied regardless of where the contours, surfaces, and volumes are. Example: C3 C1 C2 Medium 1 Medium 2

  5. Example of derivation of boundary conditions Medium 1 Medium 2

  6. or,

  7. Summary of boundary conditions

  8. Perfect Conductor Surface (No time-varying fields inside a perfect conductor. Also no static electric field; may be a static magnetic field.) Assuming both E and H to be zero inside, on the surface,

  9. Dielectric-Dielectric Interface

  10. Example: D4.11 At a point on a perfect conductor surface, and pointing away from the surface. Find . D0 is positive. (a)

  11. and pointing toward the surface. D0 is positive. (b)

  12. Example: (a)

  13. (b) (c)

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