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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
Magnetic field due to a current element • (Biot-Savart Law) a B circular to the axis of the current element
Current Distributions • Filamentary Current • I (A) • (b)Surface Current • Surface current density, JS (A/m)
(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:
rL0 • (b) Line ChargeLine Current
rS0 • Then, • (c)Sheet ChargeSheet Current