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Slide Presentations for ECE 329, Introduction to Electromagnetic Fields, to supplement “Elements of Engineering Electromagnetics, Sixth Edition”. by Nannapaneni Narayana Rao Edward C. Jordan Professor of Electrical and Computer Engineering

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Slide Presentations for ECE 329,Introduction to Electromagnetic Fields,to supplement “Elements of Engineering Electromagnetics, Sixth Edition”

by

Nannapaneni Narayana Rao

Edward C. Jordan Professor of Electrical and Computer Engineering

University of Illinois at Urbana-Champaign, Urbana, Illinois, USA

Distinguished Amrita Professor of Engineering

Amrita Vishwa Vidyapeetham, Coimbatore, Tamil Nadu, India


  • 1.6

  • The Magnetic Field


  • The Magnetic Field

  • acts to exert force on charge when it is in motion.

  • B = Magnetic flux density vector

  • Alternatively, since charge in motion constitutes current, magnetic field exerts forces on current elements.


  • Units of B:

  • Sources: Currents;

  • Time-varying electric field



a

B circular to the axis of the current element




  • (c)Volume Current

  • Density, J (A/m2)


P(r, f, z)

a2

a

a1

  • P1.44



  • Magnetic Field Due to an Infinite Plane Sheet of Uniform Surface Current Density

  • This can be found by dividing the sheet into infinitely long strips parallel to the current density and using superposition, as in the case of finding the electric field due to an infinite plane sheet of uniform surface charge density. Instead of going through this procedure, let us use analogy. To do this, we first note the following:



r Surface Current DensityL0

  • (b) Line ChargeLine Current


r Surface Current DensityS0

  • Then,

  • (c)Sheet ChargeSheet Current


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