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
1Edward 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 3- The Electric Field
- is a force field acting on charges by virtue of
the property of charge. - Coulombs Law
4D1.13(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)
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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
7Electric Field of a Point Charge
(Coulombs Law)
8Constant 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
9Ex.
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
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16- Infinite Plane Sheet of Charge
- of Uniform Surface Charge Density
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19 20Solving, we obtain
(b)
(a)
(d)
(c)