JOURNAL 1, ELECTROMAGNETIC THEORY 2, 13.0.0.3.0 1 Dimensional analysis of Maxwell’s equations Lennin G´alvez, Escuela de Mec´anica El´ectrica USAC Abstract—To understand the nature in its more fundamental form and behavior we need have awareness of its fundamental properties and its behavior, electricity and magnetism is one of the more powerfull phenomenon in the universe then let’s to fumigar. 4) The charge density: ρv = Colulumb per cubic meters, electric charge per volume. 5) The differential cubic volume: I. I NTRODUCTION QUANTITY in the genaral sense is a property ascribed to phenomena, bodies, or substance like a mass and electric charge. A quantity in the particular sense is a quantifiable or assignable property ascribed to a particular phenomenon, body, or substance like the mass of the moon and the electric charge of the proton. A physical quantity is a quantity that can be used in the mathematical equations of the science and technology. A unit is a particular physical quantity, defined and adopted by convention, with which other particular quantities of the same kind are compared to express their value. The value of a physical quantity is the quantitative expression of a particular physical quantity as the product of a number and a unit, the number being its numerical value. thus, the numerial value of a particular physical quantity depends on the unit in which it is expressed. 13.0.0.3.0 19-02-2013 A C m3 dv = m3 Volume. B. Gauss’ law for magnetic field I ~ =0 ~ · ds B s 1) Magnetic flux density: B= kg Cs Mass per coulomb times seconds, mass, electric charge, and time. C. Faraday’s law of induction I ~ =−d ~ · dl E dt l II. I NTEGRAL FORMS OF M AXWELL’ S EQUATIONS A. Gauss’ law for electric field I ~ = ~ · ds 0 E Z ~ ~ · ds B s 1) Diefferential length: dl = m ZZZ s ρv dv v Length 1) Electrical permitivity for hipothetical space: 0 = C 2 s2 m3 kg Electric charge squared times second squared, per mass times cubic meters. Electric charge, time, length, and mass. 2) Electric field: mkg E= Cs2 Kilogram times meter per coulomb times second squared. Mass, length, electric charge, and time. 3) The differential surface: ds = m2 Length times length, a flat differential surface. D. Ampere Maxwell law I ~ Z Z B ~ ~ + ∂ ~ ~ · ds · dl = J~ · ds 0 E ∂t s l µ0 s 1) Magnetic permeability for hipothetical space: µ0 = kgm C2 Mass, length, and electric charge. 2) The current density: J= C sm2 Electric charge, time, and lenght. ELECTROMAGNETIC THEORY 2.N joule .0 III. −radiant − f lux electric − potential − dif erence.3.W b tesla . −quantity − of − electricity electric − current area volume speed − velocity acceleration f orce energy.m kilogram .W volt .C ampere .0.A square-meter .T henry .H m s2 . −electromotive − f orce capacitance magnetic − f lux magnetic − f lux − density inductance A PPENDIX A E LECTRIC PERMITIVITY 0 = C 1 A C C sC C s C F = = = = m V m Wm sJm s Nm m C 2 s2 C s2 s C = = s kgm m m kgm3 A PPENDIX B E LECTRIC PERMEABILITY µ0 = H Wb 1 Vs 1 W s 1 J s 1 Nm = = = = = 2 2 m A m A m A Am sA m A m kgm s2 kgm kgm 1 = 2 = = 2 2 2 s A s C C2 A PPENDIX C E LECTRIC FIELD E= V W J Nm kgm = = = = 2 m Am sAm sAm s Asm kgms kgm = 2 = 2 s Csm s C A PPENDIX D M AGNETIC FIELD B= Wb Vs Ws Js N ms = 2 = = = m2 m Am2 sAm2 sAm2 kgmms kg kgs kg = 2 = 2 = 2 = s Asm2 s A s C Cs A PPENDIX E T HE MAGNETIC INTENSITY H= B kg C 2 C = = µ0 Cs kgm ms 2 Name-Symbol meter .F weber . −work. 13. I NDEX Base quantity length mass time electric − charge.s coulomb .J watt .kg second . −quantity − of − heat power.m2 cubic-meter .V farad .0.m3 meter-per-second .JOURNAL 1.m s meter-per-second-squared newton .