Exam4EquationSheet

Unity c larger d the positive protons 2820 s alsbare

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Unformatted text preview: etic in uni- m are m mS where m v the permeabilityE the coil. small S for l = d (29.10) 0 S S S changing S through a actsdA a conductor, current in as = iD current) dt tegral BF = q B 0 = form B S relative permeability. The magnetic susceptibilitysourcedefined as xm(29.19) -exactly and(displacement S field,m0 Iand v both perpendicu- ,ferromagnetic vmaterials,EKmagnetic fieldm thanMagnetic susL encl magnetic flux For whichstationary xmFis qof m is much= K in 1. unity C larger d The positive protons (28.20) S alsBare l = negative quantities. and electriis S small A + Binduced S ,etand electrons.ceptibilities induced electricmaterialsway small positive quantities; The relationships materi+ S the sameCare Ias conduction – there is an for paramagnetic field E of permanent S B current. those for diamagnetic cur- lar to B and to Someother) B increasing a q S not constant. each ferromagnetic materials are nonelectrostaticb K retaininglarger magnetizationis r + als are small negative nonconservative and cannotdumagnets,m is much their than unity and S S quantities. For (Gauss’s rlaw for befields) ferromagnetic magnetic fields and their sources materials, E B assof bound togetherorigin. This field is field isnega- (See LExamples 28.11 and 28.12.) by the nuclear force; between electric and the removed. sitive S Q encl S even after theS external magnetic du S E S = (29.18) . greater than 1not nuclear size. Electric be stated compactly in four equations, E= v Magnetic ferromagnetic (29.7) ciated d l potential. can materials are permanent magnets, retaining their h(See Point in :constant. aexternal magneticExample 29.11.)(See Examples 28.11 andcalled magnetizationE dAMagnitude the B2with SomeField(See field is removed. E = dlBL P0 Magnetic-Field 28.12.) (29.6) C v C even after the d£E Motional emf: If a conductor moves in a magneticS S field, S Maxwell’s equations. Together they form a S complete S vS of emf aalways tendsis induced. (See cancel out B B (all or part emf closed loop moves in a of a and solids. t oratoms, molecules,to oppose or Examples 29.9 and d l = m0 a i C +SP0withS b in B (conductor Change L moves in unilength S dt encl (Gauss’s law for E fields) FieldBmotional S S basis forC relationship of E and B fields to their the S S m F = qvB F = qE form B field, B and v both perpendicu-0 I L rom Faraday’s to use. efasily; in field) law and is often easiersources. insulators, charge does not move eas29.10.) S + d – Displacement current and Maxwell’s equations: A time- toueach(29.20) £ E = v S +S Distance lar to B and displacement B d z ¢u du d i D other) a (29.14) q about insulators. r from conductor b =P y ls are B dA = 0 (29.19) vz 5 (increasing) az 5 2pr displacement current vz = varying electric field generates a (Ampere’s law including dt lim = (9.3) dt dt L current) G C ition ¢t S 0 £ B t S S dt S d ¢ acts as a source of magnetic field in exactlyS S Si ya which S EE E= 1v B2(displacement current) d l I At t (29.7) E dl...
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