Electromagnetic FieldsThis revised edition provides patient guidance in its clear and organized presentation of problems. It is rich in variety, large in number and provides very careful treatment of relativity. One outstanding feature is the inclusion of simple, standard examples demonstrated in different methods that will allow students to enhance and understand their calculating abilities. There are over 145 worked examples; virtually all of the standard problems are included. |
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Page 544
... our purposes it will be more efficient to calculate them by direct use of the Lorentz transformation . Example Relativity of simultaneity . Suppose that two events occur 544 SPECIAL RELATIVITY General Lorentz Transformations,
... our purposes it will be more efficient to calculate them by direct use of the Lorentz transformation . Example Relativity of simultaneity . Suppose that two events occur 544 SPECIAL RELATIVITY General Lorentz Transformations,
Page 549
... transformation equations for the analogous quanti- ties dx / dr and dt / dr as vx 기 vx + V . [ 1 - ( @ 23⁄41⁄2e ? ) ] ' 2 = ' { [ 1- ( c2 / e » ] 2 * ' [ 1- ( 2 ) ( 28-55 ) ---- 1 [ 1- ( 02 / c2 ) / 2 -- 1 [ 1 ... LORENTZ TRANSFORMATION 549.
... transformation equations for the analogous quanti- ties dx / dr and dt / dr as vx 기 vx + V . [ 1 - ( @ 23⁄41⁄2e ? ) ] ' 2 = ' { [ 1- ( c2 / e » ] 2 * ' [ 1- ( 2 ) ( 28-55 ) ---- 1 [ 1- ( 02 / c2 ) / 2 -- 1 [ 1 ... LORENTZ TRANSFORMATION 549.
Page 574
... Lorentz transformations corresponding to speeds V1 the same direction are equivalent to a single Lorentz transformation with a speed V = ( V1 + V2 ) / [ 1+ ( V1V2 / c2 ) ] . Is this result compatible with ( 28-37 ) ? 28-6 Show that the ...
... Lorentz transformations corresponding to speeds V1 the same direction are equivalent to a single Lorentz transformation with a speed V = ( V1 + V2 ) / [ 1+ ( V1V2 / c2 ) ] . Is this result compatible with ( 28-37 ) ? 28-6 Show that the ...
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Ampère's law angle assume axis bound charge boundary conditions bounding surface calculate capacitance cavity charge density charge distribution charge q circuit conductor consider constant coordinates corresponding Coulomb's law current density cylinder defined dielectric dipole direction displacement distance E₁ electric field electromagnetic electrostatic energy equal equipotential evaluate example Exercise expression field point flux force free charge function given incident induction infinitely long integral integrand k₁ Laplace's equation located Lorentz transformation magnetic magnitude material Maxwell's equations medium molecule n₂ normal components obtained origin parallel plate capacitor particle perpendicular plane wave point charge polarized position vector potential difference quantities radiation rectangular refraction region result satisfy scalar scalar potential shown in Figure solenoid spherical surface charge density tangential components total charge vacuum vector potential velocity volume write written xy plane Z₂ zero Απερ дх