Edward%20C.%20Jordan%20Memorial%20Offering%20of%20the%20First%20Course%20under%20the%20Indo-US%20Inter-University%20Collaborative%20Initiative%20in%20Higher%20Education%20and%20Research:%20Electromagnetics%20for%20Electrical%20and%20Computer%20Engineering - PowerPoint PPT Presentation

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Edward%20C.%20Jordan%20Memorial%20Offering%20of%20the%20First%20Course%20under%20the%20Indo-US%20Inter-University%20Collaborative%20Initiative%20in%20Higher%20Education%20and%20Research:%20Electromagnetics%20for%20Electrical%20and%20Computer%20Engineering

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Title: Edward%20C.%20Jordan%20Memorial%20Offering%20of%20the%20First%20Course%20under%20the%20Indo-US%20Inter-University%20Collaborative%20Initiative%20in%20Higher%20Education%20and%20Research:%20Electromagnetics%20for%20Electrical%20and%20Computer%20Engineering


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
  • 1.5
  • The Electric Field

3
  • The Electric Field
  • is a force field acting on charges by virtue of
    the property of charge.
  • Coulombs Law

4
D1.13(b) From the construction, it is
evident that the resultant force is directed away
from the center of the square. The magnitude of
this resultant force is given by
Q2/4pe0(2a2)
Q2/4pe0(4a2)
Q2/4pe0(2a2)
5
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6
  • Electric Field Intensity, E
  • is defined as the force per unit charge
    experienced by a small test charge when placed in
    the region of the field.
  • Thus
  • Units

Sources Charges Time-varying magnetic field
7
Electric Field of a Point Charge
(Coulombs Law)
8
Constant magnitude surfaces are spheres centered
at Q. Direction lines are radial lines emanating
from Q.
E due to charge distributions (a) Collection of
point charges
9
Ex.
Electron (charge e and mass m) is displaced from
the origin by D (ltlt d) in the x-direction and
released from rest at t 0. We wish to obtain
differential equation for the motion of the
electron and its solution.
10
  • For any displacement x,
  • is directed toward the origin,
  • and

11
  • The differential equation for the motion of the
    electron is
  • Solution is given by

12
  • Using initial conditions and
    at t 0, we obtain
  • which represents simple harmonic motion about the
    origin with period

13
  • (b) Line Charges
  • Line charge
  • density, rL (C/m)
  • (c) Surface Charges
  • Surface charge
  • density, rS (C/m2)
  • (d) Volume Charges
  • Volume charge
  • density, r (C/m3)

14
  • Ex. Finitely-Long Line Charge

15
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16
  • Infinite Plane Sheet of Charge
  • of Uniform Surface Charge Density

17
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18
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19
  • D1.16
  • Given

20
Solving, we obtain
(b)
(a)
(d)
(c)
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