ELE401-Review

Provide definitions or explain the meaning of the following terms:

2.0The Static Electric Field

-Coulomb’s law

-Definition of Electric field intensity, E

-Electric field Intensity, E, due to

  • Line charge
  • Surface charge
  • Volume charge

-Electric flux Density, D

-Gauss’s law

-Gauss’s law in point form

-E-field solved by Gauss’s law

  • point charge
  • infinite line charge
  • surface charge
  • uniformly charged sphere

-Electric potential, V

  • Definition
  • Potential gradient

-V-field calculated from charge distribution

-Electric dipole

-Electric flux line

-Energy density of an electric field

3.0 Electric Fields in Material Space

-Conductor and insulator, σ

-Current and current density

  • conduction current
  • convection current

-Ohm’s law

-Joule’s law

-Power density

-Procedure of finding resistance R

-Polarization in Dielectric

  • Bound surfaced charge density, ps
  • Bound volume charge density, pv
  • D in dielectrics
  • Polarization, P
  • Electric susceptibility, χe
  • Electric permittivity, ε
  • Relative electric permittivity, εr
  • Dielectric strength

-Continuity equation

-Relaxation time

-Boundary conditions

  • Normal components
  • Tangential components
  • Conductor-dielectric boundary

4.0Electrostatic Boundary Value Problems

-Poisson’s Eq.

-Laplace’s Eq.

-Boundary-value problems

  • Differential eq.;
  • Field region;
  • Boundary conditions

-Procedure of solving a boundary problem

  • Solve differential eq.
  • Apply boundary conditions to find constants
  • Find E from
  • Find D from
  • If required find (ρs-free surface charge density)
  • Find Q by

(also the procedure of determining C by assuming V and find Q)

-The Capacitance

(assuming Q and find V)

  • Choose a suitable coordinates
  • Let conducting plates carry +Q and –Q
  • Determine E using Coulomb’s or Gauss’s law
  • Find V form
  • Obtain C from C=Q/V

-Method of Image

Replacing the charge configuration by itself, its image and an equipotential surface in the place of the conducting plane

-5.0 The Magnetic Field

-Definition of H-field :

-Biot-Savart’s law ,

-H-field from a finite line current

-H-field from an infinitive line current

-H-field from a circular current loop

-Ampere’s circuital law

  • Infinitive line current…
  • Infinitive sheet of current
  • Coaxial cable,

,

,

-Two Examples

  • Solenoid
  • Toroid

-Magnetic flux density

-Magnetic flux

-Non-existence of magnetic monopole, or

-Maxwell’s Eqs. (point and integral forms)

-Magnetic vector potential A

,

6.0 Magnetic Forces, material and devices

-Magnetic flux density B in term of I∙dl

-Lorentz force Eq.

-Force on a current loop

-Magnetic dipole moment

-Magnetic torque

  • General definition
  • In term of magnetic dipole moment

-Magnetization in Materials

  • Atomic model of magnetic dipoles

-A-field due to a magnetic dipole

-Magnetization vector M

  • The bound volume current density Jb
  • The bound surface current density Kb
  • Magnetic susceptibility χm

-Magnetic boundary conditions

  • Normal components
  • Tangential components

-Self-inductance

  • A magnetic flux linkage
  • Definition of inductance
  • Magnetic energy stored in an inductor

-Mutual-inductance

-Procedure of calculating self-inductance L

-Internal inductance

-External inductance

-Magnetic energy in a Magnetic field

7.0 Time-Varying Fields and Maxwell’s Equations

-Faraday’s law;

-Electromotive force Vemf

  • Transformer emf
  • Motional emf

-Lenz’s law

-Faraday’s law-point form

-Displacement current

-Maxwell’s Eqs - point form

-Maxwell’s Eqs - integral form

-Derivation of Wave Eqs. from Maxwell’s Eqs.

-Solutions ofWave Eqs. In free space;

  • Phase
  • Angular frequency
  • Wavelength
  • Period
  • Wave velocity
  • Forward and backward propagating wave
  • spectrum