Electricity and MagnetismA text for the standard electro-magnetism course for students in physics and engineering. Treats requisite theory with extensive examples of real-world applications. Offers coverage of topics neglected in most texts at this level, such as macroscopic vs. microscopic properties of matter. Also features a shorter, more student-oriented presentaton of the material, larger problem sets, and thorough discussion of alternative solution methods. |
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Page 259
... vector potential exists . One may now verify directly that the expression given in Eqs . ( 8.42 ) and ( 8.44 ) satisfy VA = 0 . We now reintroduce the concept of magnetic flux and derive a very useful relation between it and the vector ...
... vector potential exists . One may now verify directly that the expression given in Eqs . ( 8.42 ) and ( 8.44 ) satisfy VA = 0 . We now reintroduce the concept of magnetic flux and derive a very useful relation between it and the vector ...
Page 276
... at distances large compared to the dimensions of the loop . As indicated by the notation of Fig . 8.20 and Eq . ( 8.44 ) , A = Hof Idr 4π Sc & f x 0 Z " ૬ ང di C Figure 8.20 276 MAGNETISM OF STEADY CURRENTS The Vector Potential.
... at distances large compared to the dimensions of the loop . As indicated by the notation of Fig . 8.20 and Eq . ( 8.44 ) , A = Hof Idr 4π Sc & f x 0 Z " ૬ ང di C Figure 8.20 276 MAGNETISM OF STEADY CURRENTS The Vector Potential.
Page 305
... vector potentials may be deducted from the boundary conditions of B and H. Since Hm _VOm › = -VO , then Φ , = m -√ Hm dr . · ( 9.48 ) = The potential difference between two closely located points can be written as A = −H „ · l , where ...
... vector potentials may be deducted from the boundary conditions of B and H. Since Hm _VOm › = -VO , then Φ , = m -√ Hm dr . · ( 9.48 ) = The potential difference between two closely located points can be written as A = −H „ · l , where ...
Contents
VECTOR ANALYSIS | 1 |
ELECTROSTATICS | 28 |
ELECTROSTATIC BOUNDARY VALUE | 73 |
Copyright | |
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4περ A₁ Ampere's law angle atoms axis B₁ B₂ boundary conditions C₁ calculated capacitance capacitor charge density charge distribution charge q circuit coefficients components conducting conductor Consider constant coordinates current density cylinder dependence Determine dielectric displacement distance E₁ E₂ electric dipole electric field electromagnetic electron electrostatic element energy Example external ferromagnetic Figure flux force frequency function Gauss given by Eq gives H₂ hence inductance inside integral interface k₁ Laplace's equation linear loop Lorentz Lorentz transformation macroscopic magnetic field magnetic moment material Maxwell's equations medium molecules n₂ normal P₁ plane plates point charge polarization Poynting vector problem R₁ radiation radius region relation result RLC circuit scalar potential shown in Fig solenoid solution space sphere spherical surface charge transformation unit vector vector potential velocity voltage wire zero Απ Απερ μο