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Classical Electromagnetism
Classical Electromagnetism

Washabaugh, A.P. and M. Zahn, A Chemical Reaction-based Boundary Condition for Flow Electrification, IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 4, No. 6, pp. 688-709, December, 1997
Washabaugh, A.P. and M. Zahn, A Chemical Reaction-based Boundary Condition for Flow Electrification, IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 4, No. 6, pp. 688-709, December, 1997

... in the open-circuit voltage and short-circuit current as a function of the fluid velocity, the volume charge density dependence on the terminal constraints, and the charge density dependence on applied dc voltages. Previously used boundary conditions are shown to be special cases of the chemical rea ...
Chapter 21 The Electric Field I: Discrete Charge Distributions
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... these charges are equal and their sum (the net force on charge +q) will be to the right. Note that the vertical components of these forces add up to zero. (b) Because no other charged objects are nearby, the forces acting on this system of three point charges are internal forces and the net force ac ...
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6. ELECTROMAGNETIC INDUCTION
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The nature of Petschek-type reconnection T. G. Forbes
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... where Rme = L e V Ae /η, V Ae is the Alfvén speed in the inflow region, and η is the magnetic diffusivity of the plasma. In astrophysical plasmas Rme is typically 106 to 1012 , so Sweet-Parker-type reconnection is very slow (M Ae ≈ 10−3 to 10−6 ) compared to the rates needed to explain the rapid re ...
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... When one object is much more massive for example the Earth and a satellite, then the scalar quantity U G (r) , with units of energy, corresponds to the negative of the work done by the gravitation force on the satellite as it moves from an infinite distance away to a distance r from the center of th ...
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... assuming that the front and back covers (area A = 0.050 m2, separation d = 0.040 m) are made of a conducting material. The dielectric constant of paper is approximately 6.0. Determine what the potential difference must be across the covers for the textbook to have a charge separation of 10−6 C (one ...
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... 1. The direction of the magnetic eld is tangent to the eld line at any point in space. A small compass will point in the direction of the eld line. 2. The strength of the eld is proportional to the closeness of the lines. It is exactly proportional to the number of lines per unit area perpendicu ...
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Maxwell's equations

Maxwell's equations are a set of partial differential equations that, together with the Lorentz force law, form the foundation of classical electrodynamics, classical optics, and electric circuits. These fields in turn underlie modern electrical and communications technologies. Maxwell's equations describe how electric and magnetic fields are generated and altered by each other and by charges and currents. They are named after the physicist and mathematician James Clerk Maxwell, who published an early form of those equations between 1861 and 1862.The equations have two major variants. The ""microscopic"" set of Maxwell's equations uses total charge and total current, including the complicated charges and currents in materials at the atomic scale; it has universal applicability but may be infeasible to calculate. The ""macroscopic"" set of Maxwell's equations defines two new auxiliary fields that describe large-scale behaviour without having to consider these atomic scale details, but it requires the use of parameters characterizing the electromagnetic properties of the relevant materials.The term ""Maxwell's equations"" is often used for other forms of Maxwell's equations. For example, space-time formulations are commonly used in high energy and gravitational physics. These formulations, defined on space-time rather than space and time separately, are manifestly compatible with special and general relativity. In quantum mechanics and analytical mechanics, versions of Maxwell's equations based on the electric and magnetic potentials are preferred.Since the mid-20th century, it has been understood that Maxwell's equations are not exact but are a classical field theory approximation to the more accurate and fundamental theory of quantum electrodynamics. In many situations, though, deviations from Maxwell's equations are immeasurably small. Exceptions include nonclassical light, photon-photon scattering, quantum optics, and many other phenomena related to photons or virtual photons.
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