| Date |
Summary |
| 04/24 |
- Discussed Quiz# 3 make-up.
- Gave talk on two-conductor, one-conductor and zero-conductor transmission lines and
the usefulness of each.
|
| 04/19 |
- Developed the transmission line equations and the Smith Chart computational tool for
understanding the details of wave proporgation on transmission lines.
- Discussed the concept of transmission line impedance matching via the single stub
tuner.
|
| 04/17 |
- Developed case 3: Plane waves with transverse electric and transverse magnetic (TEM)
fields waves on two conductor transmission lines.
- derived the voltage and current wave equations based on distributed equivalent
circuit element for the transmission line.
- developed the wave equations for the electric and magnetic fields and show the equivalence
to voltage and current wave equations.
- Derived the expressions for the intrinsic impedance, the input impedance,
the input admittance, VSWR and reflection coefficient.
- Derived the Smith Chart and assigned special problem #1.
|
| 04/12 |
- Summerised the key issues for time varying fields in prepration for Quiz #3:
- Faraday's and Lenz's laws.
- permittivity and permiablity given in terms of electric and magnetic susceptibilty,
respectively for isotropic linear medium.
- review the defination of plane waves, cylindrical waves and spherical waves.
- reviewed phase velocity, radiant frequency, phase constant, wavelength and intrinsic impedance.
- Developed the reflection of uniform plane wave normally incident on a plane boundary between
two homgenous media.
- developed the concept of reflection coefficient,
- transmission coefficient, and
- VSWR.
|
| 04/10 |
- Case 2: Infinite plane waves in lossy media
- developed the concept of complex permittivity
- loss tangent ξ
- complex intrinsic impedance ή
- complex phase constant β'
- propogation constant ٧
- Gave apporximate and exact expressions for the above parameters.
- Developed the concept of Skin effect and gave the expression for
skin depth vs frequency.
- Explained the use of Litz wire, used for r-f conductors.
|
| 04/05 |
- Developed the wave equations for electromagnetic waves in isotrpic space :- case 1: Infinite
plane waves in lossless media
- defined phase velocity Vp
- wavelength λ and
- intransic impedance η.
|
| 04/03 |
- Derived the inhomgenous Heamholtz wave equations for magnetic vector potential
 A
and electric scalar potential V.
- Presented these potentials in terms of time retarded current density
J
and charge density ρ,respectively.
- Derived the homogenous Heamholtz wave equation under the assumption of harmonic time
variation for Ē,V,
A,
H.
|
| 03/27 |
- Discussed the problem of the electrostatic fields in a cylindrical
insulator having two concentric dielectrics.
- Derived the expression for time-varying electric field in terms of
electric scalar potential and magnetic vector potential.
- Began the development of the inhomgeneous wave equation for magnetic
vector potential.
|
| 03/15 |
- Gave examples of the electromotive force generated by moving wires
and time varying fields.
- Derived the expression for the time varying displacement
current.
- Derived Maxwell's equation from Ampere's Law in both, differential
and integral forms.
|
| 03/13 |
- Disussed the solutions to mid term exam question.
- Faraday's Law, Lenz's Law and the derivation of Maxwell's equation
from Faraday's Law in both, differential and integral forms.
|
| 03/08 |
|
| 03/06 |
- Prepration for mid term exam.
|
| 03/01 |
- Developed magnetization, magnetic susceptability, permeability and
mmf.
- Showed the similarties and differences between electric and magnetic
fields and the material parameters.
- Developed the Larentz Force Equation and gave an example.
- Developed Cyclotron Frequency.
- Showed how the two vector operator identities imply electric and
magnetic potential.
- Gave summery of electrostatic and magnetostatic fields.
|
| 02/27 |
- Gave the expressions for the fields from generalized line,surface
and volume currents.
- Dressed in late 1800s academic garb gave a bubble demonstration of
an "open surface", presented Ampere's Law and developed Stokes'
Theorem.
- Gave the field defination of inductance .
|
| 02/22 |
- Lectured on the Biot-Savart Law formulating the magnetic field
intensity
H
for generalized filamentary currents.
- Gave the magnetic constitutive relation between magnetic flux
density------
- Solve for the field from an infinately long straight line
filamentary current.
- Defined the filamentary circular loop problem.
|
| 02/20 |
- Worked problems in class for preperation for Quiz 2, emphasizing
Divergence Theorem, Gauss's Law, Current density, Solution to field
direction lines from uniform straight line charges distribution of
finite length & issues relating to accuracy using method of moments
solution to Laplace's Equation problems. Other practice exercises were
suggested.
|
| 02/13 |
- Derived the analytical solution to the rectangular trough problem
using separation of variables and illustrating the application of
boundary values.
- Lectured on the use of Poisson's equation for the solution to the
fields at a semiconductor boundary.
|
| 02/11 and
02/12 |
- Lectured on II-D : The "conservative" nature of the
electrostatic field from the zero curl, and introduced rotational
fields.
- Developed the Laplacian of the electric potential.
- Gave the method of moments approach to numerically solving Laplace's
equation.Set up the spreadsheet solution to the rectangular trough
problem.
|
| 02/06 |
- II-K : Discussed images of point charge in
different conducting surfaces, showing field dirction lines.
- III-H : Lectured on Continuity of Current, current
mobility in metals and semiconductors.
- III-I : Lectured on capacitance and developed
C in terms of electric field intensity.
- III-J : Lectured on resistance expressed in
terms of electric field intensity.
- III-K : Lectured on section current boundary
conditions.
From Math for Fields manuscript
- Developed the divergance of a vector field in generalised
curvilinear coordinates(GCC).
- Lectured on curl of a vector field in GCC.
- Discussed the importance of the divergence of the gradient.
|
| 02/01 |
- Discussed the conservative nature of the static electric field by
the circulation of that field.
- Described electric flux, electric flux density and Gauss's
Law.
- Developed the divergence theorem and presented Maxwell's equations
in differential and integrated form from Gauss's Law.
- Disscussed the "displacement vector field" and its equivalence with
electric flux density.
- Derived the field from an electric dipole.
|
| 01/30 |
- Lectured on potential energy and electric potential fields and gave
a precise definition of electric potential.
- Developed electric potential V, for point charges, line charge
distrubutions, surface charge distributions, and volume charge
distributions.
- Developed a methodology for discribing equipotential surfaces from a
known vector field and gave several examples from classical
distributions.
- Developed electric potential gradient and the differential and
integral form relating the vector electric field intensity and the
scalar electric potential.
|
| 1/25 |
- Developed the expressions for the field from a uniform straight line
charge of length 2a using biploar angle integration.
- Showed how both solutions reduce to Ē=ûrρL/(4Пεr) for the uniform straight
line charge of infinte length.
- Discussed the electric field intensity from surface and volume
charge distributions.
|
| 1/23 |
- Gave Quiz 1(25 minutes).
- Lectrued on Coulomb's force laws.
- Described electric permittivity in free space, in isotropic
dielectrics, in lossy media and in anisotropic materials .
- Defined electric field intensity and gave the expressions for point
and line sources.
- Applied the latter to the case of uniform straight line charge
distribution of finite length.
- Solution for field from a uniform straight line charge of finite
length by cylindrical coordinate integration.
|
| 1/18 |
- Began vector calculas review.
-- Gave a physical as well as
mathematical description of the gradient of a scalar and expanded in
GCC.
-- Gave physical/mathematical description of the
divergence of a vector without
resorting to a
coordiate system. |
| 1/16 |
- Covered vector field direction lines and derived the differential
equation in GCC.
Expanded this into the three standard coordinate
systems. Gave an example.
- Discussed equal value surfaces and the derivations of the governing
differntial equations.
- Discussed diadics in explicit standard notation and in tensor
notation.
- Discussed tensor rank in terms of directional compoundedness and
gave examples of
the use of tensors of higher rank.
- Provided a formula for determining the number of components of a
tensor.
- Gave the explicit expansion of the diadic dot product with a vector
and expresssed this also in standard tensor
notation.
|
| 1/11 |
- Covered arithmetic operations of vectors and scalars.
--
Addition, subtraction and multiplication, including scalar and vector
products, and several applications.
- Dicussed line and surface integrals.
- Expanded the above into generalized curvilinar
coordinates(GCC).
- Gave triple vector product identities.
- Discussed phasor scalars and phasor vectors.
|
| 1/9 |
- Covered the course policies and syllabus.
- Began Math for Fileds.
-- Explained notation to be used for
scalers, vectors, unit vectors and diadics.
-- Discussed and defined
differential length, area and volume.
-- Began vector algebra
reviews: Discussed variant and invariant scalers, scaler and vector
fields. |