Study Guide for Exam 2
Study Guide for Exam 2 ELCT 361
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This 17 page Study Guide was uploaded by Richard Martin on Wednesday March 30, 2016. The Study Guide belongs to ELCT 361 at University of South Carolina taught by Dr. Huray in Winter 2016. Since its upload, it has received 45 views. For similar materials see Electromagnetics in Electrical Engineering at University of South Carolina.
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Date Created: 03/30/16
Find orbital magnetic moment in terms of Lz Exam 2 Study Guide Explain Figure 6-19, how the graphs were made Monday, March28, 2016 8:53 AM Explain Hysteresis Ask about 6.88 and 6.89 slides Chapter 4 Electrostatics equations: Plug potential into D, D into statics to get: • • • Electric Potential: • • This is Poisson's Equation Linear & Isotropic medium: • Poisson's Equation in Cartesian coordinates: , or Separation of Variables Techniques: • Poisson's equation above is second-order linearhomogeneous PDE when = 0. • V(x, y, z) can be written as product of 3 functions X(x)Y(y)Z(z) • • Divide all by X(x)Y(y)Z(z) gets: • • • • • • V(x, y, z) = Example Study Guide Page 1 Uniqueness Theorem: a particular solution of Poisson's equation, Laplace's equation is a special case, that satisfies the givenboundary conditions is a unique solution. • Solution to Poisson's equation in any volume with normal BC is unique,ifwe can find one solution that satisfies Poisson's equation and the BC, we have found the only solution Example Study Guide Page 2 Chapter 5 Electric current caused by: • Conduction currents in conductors and semiconductors that are caused by the drift motion of conduction electrons, holes, and ions • Convection currents that result from the motion of electrons and/or ions in a vacuum gas, or insulating medium Ohm's Law and "free" conduction electrons Study Guide Page 3 = reference temperature, = resistivityat that temperature Study Guide Page 4 Free Electron Gas Theory Study Guide Page 5 Pauli Exclusion Principle • 1st 2 go in lowestenergy state • Next 6 go into next highestenergy states until all N electrons are placed • Only specific points in k-space that can be occupied but so close together they appear to be a continuum of states Study Guide Page 6 Effects of Temperature Equation of Continuity Study Guide Page 7 This time is so short, we can state that conduction electrons inside a good conductor will move to reduce externally appliedelectric field intensity to zero for practical times; good conductors willbehave like static conductors, 0 internal EFI, unless times are extremely short or frequencies are very high(>10^18 Hz). This is called the "quasistatic approximation" Microscopic view of Ohm's Law Study Guide Page 8 From Equation 5.8, conduction electrons have a drift velocity under application of electric fieldby external potential. For copper: . For an internal fieldof 0.5 V/m the drift velocity = 1.6x10^-3 m/s Conclude from above numbers that conduction electrons move very fast, collide with scattering points in a short time (long relative distance between scattering potentials) and change their velocity on the average in time as a result of the random scattering events in presence of external EFI by a very small amount of drift velocity. Chapter 6 Ampere's Equation Study Guide Page 9 Magnetic Vector Potential Study Guide Page 10 Study Guide Page 11 Study Guide Page 12 Atomic Magnetism Study Guide Page 13 Study Guide Page 14 Magnetic Field Intensity and Permeability Ferromagnetism Study Guide Page 15 BoundaryConditions Study Guide Page 16 BoundaryConditions Study Guide Page 17
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